A336605 a(n) is the number of partitions of the n-th tetrahedral number (A000292).

1, 1, 5, 42, 627, 14883, 526823, 26543660, 1844349560, 172389800255, 21248279009367, 3397584011986773, 695143713458946040, 179855916453958267598, 58248417552751868050007, 23402165235974892374954302, 11571309261543787320061392679

Offset

0,3

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = p(n*(n+1)*(n+2)/6).

a(n) = A000041(A000292(n)).

Prog

(PARI) a(n) = numbpart(n*(n+1)*(n+2)/6); \\ Michel Marcus, Sep 14 2020

Crossrefs

Cf. A000041, A000292, A066655.

Sequence in context: A363435 A337593 A226987 * A204235 A188405 A216334

Adjacent sequences: A336602 A336603 A336604 * A336606 A336607 A336608

Keyword

nonn

Author

Robert Bilinski, Sep 13 2020

Status

approved