A036483 a(n) = partition(11n+10) mod 11.

9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 7, 5, 5, 5, 5, 3, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 8, 10, 10, 10, 8, 8, 6, 8, 6, 6, 4, 4, 2, 4, 2, 2, 0, 0, 9, 0, 7, 7, 5, 5, 3, 3, 1, 1, 10, 10, 6, 8, 6, 4, 2, 2, 9, 0, 7, 7, 3, 3

Offset

0,1

Links

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

Formula

a(n) = A020919(11*n + 10). - Amiram Eldar, Aug 01 2025

Mathematica

a[n_] := Mod[PartitionsP[11*n + 10], 11]; Array[a, 100, 0] (* Amiram Eldar, Aug 01 2025 *)

Prog

(PARI) a(n) = numbpart(11*n + 10) % 11; \\ Amiram Eldar, Aug 01 2025

Crossrefs

Cf. A000041, A020919.

partition(11n+k): A036485 (k=0), A036475 (k=1), A036476 (k=2), A036477 (k=3), A036478 (k=4), A036479 (k=5), A000004 (k=6), A036480 (k=7), A036481 (k=8), A036482 (k=9), this sequence (k=10).

Sequence in context: A306757 A340982 A334624 * A353803 A275153 A388978

Adjacent sequences: A036480 A036481 A036482 * A036484 A036485 A036486

Keyword

nonn,easy

Author

David W. Wilson

Extensions

Offset corrected by Amiram Eldar, Aug 01 2025

Status

approved