A374409 Number of ways to write n as an ordered sum of a triangular number, a pentagonal number and a hexagonal number.

1, 3, 3, 2, 2, 2, 4, 5, 3, 2, 2, 4, 5, 3, 2, 4, 7, 4, 3, 3, 2, 7, 6, 5, 2, 2, 5, 4, 8, 6, 5, 3, 3, 6, 6, 4, 5, 7, 6, 5, 3, 6, 5, 8, 4, 3, 7, 5, 5, 4, 8, 11, 6, 4, 3, 5, 12, 7, 6, 1, 8, 7, 3, 6, 4, 6, 7, 12, 6, 5, 4, 9, 11, 11, 4, 1, 5, 8, 11, 7, 6, 9, 8, 4, 6, 7, 10, 3, 8, 4, 4, 10, 8, 9, 9, 11, 7, 7, 8, 10, 4

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

Formula

G.f.: (Sum_{k>=0} x^(k*(k+1)/2)) * (Sum_{k>=0} x^(k*(3*k-1)/2)) * (Sum_{k>=0} x^(k*(2*k-1))).

Crossrefs

Cf. A000217, A000326, A000384, A240088.

Sequence in context: A096837 A139092 A366424 * A021305 A075788 A362503

Adjacent sequences: A374406 A374407 A374408 * A374410 A374411 A374412

Keyword

nonn

Author

Seiichi Manyama, Jul 08 2024

Status

approved