A248113 Number of subsets of {1,...,n} containing n and having at least one set partition into 4 blocks with equal element sum.

1, 2, 6, 14, 37, 88, 218, 515, 1226, 2848, 6566, 14997, 33483, 74406, 162422, 351621, 751171, 1594028, 3345216, 6979670, 14449856, 29761605, 60960032, 124383222, 252769726, 512188227, 1035145462, 2087540588, 4202777517, 8448693592, 16965990536, 34036224936

Offset

7,2

Links

Table of n, a(n) for n=7..38.

Example

a(7) = 1: {1,2,3,4,5,6,7}-> 16/25/34/7.
a(8) = 2: {1,2,3,5,6,7,8}-> 17/26/35/8, {1,2,3,4,5,6,7,8}-> 18/27/36/45.

Crossrefs

Column k=4 of A248112.

Sequence in context: A006653 A171924 A144530 * A339985 A026598 A006864

Adjacent sequences: A248110 A248111 A248112 * A248114 A248115 A248116

Keyword

nonn

Author

Alois P. Heinz, Oct 01 2014

Extensions

a(25)-a(38) from Bert Dobbelaere, Mar 16 2026

Status

approved