A375940 Number of partitions of [n] such that the element sum of each block is one more than a multiple of five.
1, 1, 0, 1, 0, 0, 1, 15, 1, 10, 50, 73, 3564, 2917, 65875, 329375, 1071361, 1095123, 37035577, 239275125, 1196735625, 9366854761, 15974824888, 327898783057, 822231218750, 4324684843750, 75814982916082, 650698890882335, 2788223698649662, 10374046091875000, 91400348409375000
Offset: 0
Keywords
Links
- Alois P. Heinz, Table of n, a(n) for n = 0..100
- Wikipedia, Partition of a set
Crossrefs
Column k=5 of A375924.
Formula
a(3) = 1: 123.
a(6) = 1: 123456.
a(7) = 15: 1235|47|6, 123|457|6, 123|47|56, 1357|24|6, 137|245|6, 137|24|56, 15|2347|6, 1|23457|6, 1|2347|56, 15|236|47, 1|2356|47, 1|236|457, 15|24|367, 1|245|367, 1|24|3567.
a(8) = 1: 12345678.
a(9) = 10: 15|24|38|6|79, 1|245|38|6|79, 1|24|358|6|79, 1|24|38|56|79, 1|24|38|579|6, 15|29|38|47|6, 1|259|38|47|6, 1|29|358|47|6, 1|29|38|457|6, 1|29|38|47|56.