A373104 Sum of all distinct multiplicities in the partitions of 2n into n parts.

0, 1, 3, 7, 16, 28, 54, 90, 151, 235, 366, 554, 818, 1191, 1707, 2395, 3363, 4638, 6329, 8585, 11526, 15338, 20348, 26750, 34946, 45414, 58751, 75503, 96713, 123252, 156356, 197683, 248934, 312197, 390456, 486471, 604181, 748284, 924026, 1137591, 1397085

Offset

0,3

Links

Table of n, a(n) for n=0..40.

Formula

a(n) = A373272(2n,n).

Example

a(4) = 16 = 4 + (1+2) + 2 + (1+2) + (1+3): 2222, 3221, 3311, 4211, 5111.

Crossrefs

Cf. A373272.

Sequence in context: A218359 A117491 A211379 * A213180 A110585 A184677

Adjacent sequences: A373101 A373102 A373103 * A373105 A373106 A373107

Keyword

nonn

Author

Alois P. Heinz, Jun 01 2024

Status

approved