A375939 - OEIS

A375939

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

1, 1, 0, 1, 2, 3, 1, 8, 32, 51, 621, 472, 1808, 18852, 185126, 700416, 2850816, 25050590, 62536138, 738554752, 4435866368, 24317825290, 99140722056, 700527263744, 5421861765120, 31511992390138, 438926378204580, 1940902351858688, 13971468418934784, 173144462739887600, 1526866832064726976

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OFFSET

0,5

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..150

Wikipedia, Partition of a set

EXAMPLE

a(5) = 3: 14|23|5, 1|234|5, 1|23|45.

a(6) = 1: 123456.

a(7) = 8: 14|23|5|67, 1|234|5|67, 1|23|45|67, 1|23|467|5, 14|27|36|5, 1|247|36|5, 1|27|346|5, 1|27|36|45.

CROSSREFS

Column k=4 of A375924.