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

Author

David W. Wilson

Keywords

• nonn
• easy

Comments

Zeros are uncommonly dense at beginning of sequence, no other modulus exhibits this behavior.

Links

• Amiram Eldar, Table of n, a(n) for n = 0..10000

Crossrefs

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

Programs

Mathematica

Mod[PartitionsP[Range[0,120]],11] (* Harvey P. Dale, May 14 2023 *)

PARI

a(n) = numbpart(n) % 11; \\ Michel Marcus, Jul 14 2022

Formula

a(n) = A000041(n) mod 11. - Sean A. Irvine, May 04 2019