A020919 Partition numbers mod 11.

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.

Links

Table of n, a(n) for n=0..104.

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

Cf. A000041, A040051, A068907, A068908, A020919.

Sequence in context: A346512 A104250 A171013 * A126053 A109905 A230200

Adjacent sequences: A020916 A020917 A020918 * A020920 A020921 A020922

Keyword

nonn

Author

David W. Wilson

Status

approved