login
A020919
Partition numbers mod 11.
5
1, 1, 2, 3, 5, 7, 0, 4, 0, 8, 9, 1, 0, 2, 3, 0, 0, 0, 0, 6, 0, 0, 1, 1, 2, 0, 5, 7, 0, 0, 5, 0, 0, 1, 1, 0, 3, 0, 0, 0, 4, 0, 0, 0, 1, 1, 2, 3, 5, 0, 0, 0, 0, 8, 0, 1, 0, 2, 0, 0, 7, 0, 0, 6, 0, 9, 1, 1, 2, 3, 5, 7, 0, 4, 0, 0, 9, 1, 0, 2, 3, 0, 0, 0, 0, 0, 8, 0, 1, 1, 2, 3, 5, 7, 0, 4, 0, 8, 0, 1, 1, 2, 3, 5, 0
OFFSET
0,3
COMMENTS
Zeros are uncommonly dense at beginning of sequence, no other modulus exhibits this behavior.
FORMULA
a(n) = A000041(n) mod 11. - Sean A. Irvine, May 04 2019
MATHEMATICA
Mod[PartitionsP[Range[0, 120]], 11] (* Harvey P. Dale, May 14 2023 *)
PROG
(PARI) a(n) = numbpart(n) % 11; \\ Michel Marcus, Jul 14 2022
CROSSREFS
KEYWORD
nonn
STATUS
approved