A375942 Number of partitions of [n] such that the element sum of each block is one more than a multiple of seven.

1, 1, 0, 0, 0, 1, 0, 0, 1, 72, 0, 585, 1, 28, 196, 257, 147231, 1162512, 1315818, 1686529, 92410521, 646873647, 1725596161, 521887572, 379507248432, 26487947397, 7048574026241, 99827367380944, 698791604858032, 4416742462232257, 4724762003911515, 108875693423927616

Offset

0,10

Links

Alois P. Heinz, Table of n, a(n) for n = 0..50

Wikipedia, Partition of a set

Example

a(5) = 1: 12345.
a(8) = 1: 12345678.
a(9) = 72: 123457|69|8, 12345|679|8, 12345|69|78, 12379|456|8, ..., 1|258|34679, 17|26|34589, 1|267|34589, 1|26|345789.

Crossrefs

Column k=7 of A375924.

Sequence in context: A332841 A057384 A240254 * A228095 A373705 A036186

Adjacent sequences: A375939 A375940 A375941 * A375943 A375944 A375945

Keyword

nonn

Author

Alois P. Heinz, Sep 03 2024

Status

approved