A375957 Number of partitions of [n] such that the element sum of each block is one more than a multiple of ten.

1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 5, 6, 0, 1, 5005, 0, 32352, 215511, 1, 160, 1600, 1937, 52374735, 11374351128, 100368000, 248032486000, 677497393, 5166569025792, 84527951721264, 154849134310100, 774245674466500, 18868327574531760, 201758301050363904, 40887062103450025

Offset

0,11

Links

Alois P. Heinz, Table of n, a(n) for n = 0..35

Wikipedia, Partition of a set

Example

a(6) = 1: 123456.
a(9) = 1: 1|29|38|47|56.
a(10) = 5: 1(10)|29|38|47|56, 1|29(10)|38|47|56, 1|29|38(10)|47|56, 1|29|38|47(10)|56, 1|29|38|47|56(10).
a(11) = 6: 1(10)|29|38|47|56|(11), 1|29(10)|38|47|56|(11), 1|29|38(10)|47|56|(11), 1|29|38|47(10)|56|(11), 1|29|38|47|56(10)|(11), 1|29|38|47|56|(10)(11).

Crossrefs

Column k=10 of A375924.

Sequence in context: A201591 A100220 A011440 * A242055 A178591 A179588

Adjacent sequences: A375954 A375955 A375956 * A375958 A375959 A375960

Keyword

nonn

Author

Alois P. Heinz, Sep 03 2024

Status

approved