A374879 Obverse convolution (n)**(floor(3n/2)); see Comments.

0, 1, 12, 144, 2400, 44100, 1016064, 25401600, 752716800, 23851713600, 865728864000, 33243988377600, 1429216756531200, 64493406138470400, 3205589417533440000, 166232708366376960000, 9379957624086763929600, 549606892036333824000000, 34710813126114757632000000

Offset

0,3

Comments

See A374848 for the definition of obverse convolution and a guide to related sequences.

If k>=0, then a(2k+1) is a square.

Links

Table of n, a(n) for n=0..18.

Formula

a(n) ~ 3^(3*n) * n^(n+1) / (2^(3*n) * exp(n)). - Vaclav Kotesovec, Sep 13 2024

Mathematica

s[n_] := n; t[n_] := Floor[3 n/2];
u[n_] := Product[s[k] + t[n - k], {k, 0, n}]
Table[u[n], {n, 0, 24}]

Crossrefs

Cf. A000027, A016789, A374848.

Sequence in context: A000468 A076728 A123237 * A374861 A143248 A138444

Adjacent sequences: A374876 A374877 A374878 * A374880 A374881 A374882

Keyword

nonn,new

Author

Clark Kimberling, Sep 13 2024

Status

approved