A327214 Self-convolution of A270913.

1, 2, 7, 32, 137, 592, 2597, 11442, 50567, 224112, 995392, 4428372, 19727877, 87983202, 392755207, 1754625632, 7844003907, 35086658052, 157023432677, 703037135122, 3148915010832, 14108913792342, 63235380631747, 283495965998772, 1271282293531077, 5702105357347602

Offset

0,2

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..1000

Formula

a(n) ~ c^2 * Pi * d^n, where d = A270914 = 4.5024767476173544877385939327... and c = A327280 = 0.260542233142438469433860832160... (see A270913).

Mathematica

A270913[n_]:=SeriesCoefficient[Product[(1+x^k)^n, {k, 1, n}], {x, 0, n}];
Table[Sum[A270913[k]*A270913[n-k], {k, 0, n}], {n, 0, 25}]

Crossrefs

Cf. A022567, A270913, A304443, A309986, A327215.

Sequence in context: A015655 A320682 A344130 * A334855 A334854 A047850

Adjacent sequences: A327211 A327212 A327213 * A327215 A327216 A327217

Keyword

nonn

Author

Vaclav Kotesovec, Aug 26 2019

Status

approved