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A375940
Number of partitions of [n] such that the element sum of each block is one more than a multiple of five.
2
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
0,8
LINKS
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.
CROSSREFS
Column k=5 of A375924.
Sequence in context: A040237 A317835 A225762 * A040238 A201460 A040239
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 03 2024
STATUS
approved