added 10 programs

oeis/015/A015543.asm

@@ -0,0 +1,21 @@
+; A015543: Inverse of 1534th cyclotomic polynomial.
+; Submitted by Science United
+; 1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,0,0,0,0,0,0,0,0
+
+mov $3,3
+add $0,3
+lpb $0
+  sub $3,$4
+  mov $4,2
+  sub $0,$3
+  mov $2,$0
+  max $2,0
+  mov $1,-1
+  pow $1,$2
+  seq $2,15088 ; Inverse of 1079th cyclotomic polynomial.
+  mul $2,$1
+  add $3,7
+  bin $3,2
+  add $3,16
+lpe
+mov $0,$2

oeis/045/A045048.asm

@@ -0,0 +1,34 @@
+; A045048: Numbers whose base-4 representation contains exactly two 0's and one 2.
+; Submitted by Science United
+; 32,66,72,96,129,131,132,140,144,176,194,200,224,262,265,267,270,274,280,289,291,292,300,306,312,322,328,352,385,387,388,396,400,432,450,456,480,517,519,525,527,529,531,532,540,561
+
+add $0,1
+mov $1,2
+mov $2,$0
+add $2,6
+pow $2,3
+lpb $2
+  mov $4,1
+  mov $3,$1
+  lpb $3
+    mov $5,$3
+    mod $5,4
+    gcd $5,10
+    mul $5,$4
+    div $3,4
+    max $4,$5
+  lpe
+  dif $4,2
+  div $4,28
+  sub $4,1
+  mov $3,$4
+  equ $3,2
+  sub $0,$3
+  add $1,1
+  sub $2,$0
+lpe
+mov $0,$1
+mul $0,2
+add $0,10923
+div $0,2
+sub $0,5461

oeis/045/A045053.asm

@@ -0,0 +1,30 @@
+; A045053: Numbers whose base-4 representation contains exactly three 0's and one 2.
+; Submitted by shiva
+; 128,258,264,288,384,513,515,516,524,528,560,576,704,770,776,800,896,1030,1033,1035,1038,1042,1048,1057,1059,1060,1068,1074,1080,1090,1096,1120,1153,1155,1156,1164,1168,1200,1218,1224
+
+add $0,1
+mov $2,250047
+lpb $2
+  mov $4,1
+  mov $3,$1
+  lpb $3
+    mov $5,$3
+    add $5,10
+    mod $5,4
+    gcd $5,10
+    mul $5,$4
+    div $3,4
+    max $4,$5
+  lpe
+  div $4,28
+  mov $3,$4
+  equ $3,2
+  sub $0,$3
+  add $1,1
+  sub $2,$0
+lpe
+mov $0,$1
+mul $0,2
+add $0,10923
+div $0,2
+sub $0,5461

oeis/045/A045116.asm

@@ -0,0 +1,34 @@
+; A045116: Numbers whose base-4 representation contains exactly one 1 and two 3's.
+; Submitted by Science United
+; 31,55,61,79,111,115,123,124,126,159,183,189,199,205,211,219,220,222,231,237,241,244,246,249,271,303,307,315,316,318,399,431,435,443,444,446,451,459,460,462,483,491,492,494,496,498
+
+mov $2,$0
+add $0,1
+add $2,7
+pow $2,3
+lpb $2
+  mov $4,1
+  mov $3,$1
+  lpb $3
+    mov $5,$3
+    sub $5,1
+    mod $5,4
+    gcd $5,10
+    mul $5,$4
+    div $3,4
+    max $4,$5
+  lpe
+  mul $4,3
+  dif $4,2
+  div $4,28
+  mov $3,$4
+  equ $3,2
+  sub $0,$3
+  add $1,1
+  sub $2,$0
+lpe
+mov $0,$1
+mul $0,2
+add $0,10923
+div $0,2
+sub $0,5461

oeis/045/A045130.asm

@@ -0,0 +1,34 @@
+; A045130: Numbers whose base-4 representation contains exactly four 1's and one 3.
+; Submitted by Vato
+; 343,349,373,469,853,1111,1117,1141,1237,1303,1309,1333,1351,1357,1363,1371,1372,1374,1383,1389,1393,1396,1398,1401,1431,1437,1461,1477,1489,1492,1494,1497,1509,1623,1629,1653,1749
+
+mov $2,$0
+add $0,1
+add $2,7
+mul $2,9
+pow $2,3
+lpb $2
+  mov $4,1
+  mov $3,$1
+  lpb $3
+    mov $5,$3
+    add $5,1
+    mod $5,4
+    gcd $5,10
+    mul $5,$4
+    div $3,4
+    max $4,$5
+  lpe
+  dif $4,2
+  div $4,28
+  mov $3,$4
+  equ $3,2
+  sub $0,$3
+  add $1,1
+  sub $2,$0
+lpe
+mov $0,$1
+mul $0,2
+add $0,10923
+div $0,2
+sub $0,5461

oeis/075/A075771.asm

@@ -0,0 +1,21 @@
+; A075771: Let n^2 = q*prime(n) + r with 0 <= r < prime(n); then a(n) = q + r.
+; Submitted by roundup
+; 1,2,5,4,5,12,17,10,15,16,31,36,9,28,41,48,57,24,31,50,9,16,37,48,49,76,15,42,85,116,79,114,137,52,41,96,121,148,27,52,79,144,139,16,65,136,109,84,141,220,49,86,169,166,209,254,33,124,169,240,55,48,297,66,169,248,199,256,263,28,113,172,205,268,333,46,109,144,241,280
+
+add $0,1
+mov $1,$0
+mul $1,$0
+mov $4,$0
+pow $4,5
+lpb $4
+  mov $2,$3
+  seq $2,365605 ; Characteristic function of numbers without an inferior odd divisor > 1.
+  sub $0,$2
+  add $3,2
+  sub $4,$0
+lpe
+mov $0,$3
+add $0,1
+max $0,2
+dis $1,$0
+mov $0,$1

oeis/375/A375325.asm

@@ -0,0 +1,20 @@
+; A375325: a(n) is the number of divisors of n which are Loeschian numbers (A003136).
+; Submitted by Ralfy
+; 1,1,2,2,1,2,2,2,3,1,1,4,2,2,2,3,1,3,2,2,4,1,1,4,2,2,4,4,1,2,2,3,2,1,2,6,2,2,4,2,1,4,2,2,3,1,1,6,3,2,2,4,1,4,1,4,4,1,1,4,2,2,6,4,2,2,2,2,2,2,1,6,2,2,4,4,2,4,2,3
+
+mov $2,$0
+add $2,1
+mov $4,$0
+add $4,1
+lpb $4
+  sub $4,1
+  mov $0,$2
+  sub $0,$4
+  mov $1,$0
+  gcd $1,$4
+  bin $1,$0
+  seq $0,353816 ; a(n) = 1 if n is a number of the form x^2 + xy + y^2, otherwise 0.
+  mul $1,$0
+  add $3,$1
+lpe
+mov $0,$3

oeis/376/A376397.asm

@@ -0,0 +1,18 @@
+; A376397: a(n) = A276075(n!), where A276075 is the factorial base log-function.
+; Submitted by Science United
+; 0,1,3,5,11,14,38,41,45,52,172,176,896,921,929,933,5973,5978,46298,46306,46332,46453,409333,409338,409350,410071,410077,410103,4038903,4038912,43955712,43955717,43955839,43960880,43960910,43960916,522962516,523002837,523003559,523003568,6750024368,6750024395,93928315595,93928315717,93928315727,93928678608,1401603046608,1401603046614,1401603046662,1401603046675,1401603051717,1401603052439,22324392940439,22324392940446,22324392940572,22324392940599,22324392980921,22324396609722,378011824705722
+
+mov $3,$0
+mov $1,$0
+lpb $1
+  sub $1,1
+  mov $0,$3
+  sub $0,$1
+  seq $0,108951 ; Primorial inflation of n: Fully multiplicative with a(p) = p# for prime p, where x# is the primorial A034386(x).
+  sub $0,1
+  seq $0,124859 ; Multiplicative with p^e -> primorial(e), p prime and e > 0.
+  sub $0,1
+  seq $0,112623 ; If p^b(p,n) is the highest power of the prime p dividing n, then a(n) = sum_{p|n} b(p,n)!.
+  add $2,$0
+lpe
+mov $0,$2

oeis/376/A376884.asm

@@ -0,0 +1,21 @@
+; A376884: Number of binary n-sequences ending in 1 with exactly one more occurrence of 11 than 10.
+; Submitted by Science United
+; 0,0,1,1,1,4,7,10,23,46,79,157,315,588,1137,2249,4337,8402,16495,32179,62707,122916,240837,471456,925061,1816610,3566865,7010347,13789477,27130956,53409503,105205514,207309743,408672454,805989367,1590166915,3138371715
+
+add $0,2
+lpb $0
+  sub $0,1
+  sub $2,1
+  add $2,$0
+  bin $2,$0
+  mov $3,$4
+  bin $3,$1
+  mul $3,$2
+  trn $0,2
+  add $1,1
+  mov $2,$1
+  add $4,2
+  add $5,$3
+lpe
+mov $0,$5
+div $0,2

oeis/377/A377109.asm

@@ -0,0 +1,19 @@
+; A377109: a(n) = coefficient of the term that is independent of sqrt(2), sqrt(3), and sqrt(6) in the expansion of (2 + sqrt(2) + sqrt(3))^n.
+; Submitted by Science United
+; 1,2,9,38,185,922,4689,23998,123217,633458,3258489,16765718,86273225,443967370,2284733313,11757749038,60508271137,311391065570,1602499602537,8246883961094,42440638964825,218410733951098,1123999345270833,5784397706237854
+
+mov $2,$0
+mov $4,$0
+lpb $4
+  trn $4,1
+  mov $0,$2
+  sub $0,$4
+  mov $1,$0
+  add $1,$4
+  bin $1,$0
+  seq $0,188570 ; a(n) = coefficient of the term that is independent of sqrt(2) and sqrt(3) in the expansion of (1 + sqrt(2) + sqrt(3))^n.
+  mul $1,$0
+  add $3,$1
+lpe
+mov $0,$3
+add $0,1