A188287 Convolution of A000085 with itself.

1, 2, 5, 12, 32, 88, 260, 800, 2604, 8824, 31340, 115568, 443760, 1763456, 7260256, 30835712, 135124496, 609027360, 2822461648, 13417923008, 65401203584, 326242088064, 1664539966400, 8674167861760, 46140838036160, 250248380068736, 1383064482739392, 7782094359642880

Offset

0,2

Comments

a(n) is also the moment of order n for the measure of density: x*exp(-(x-1)^2)*erfi((x-1)/sqrt(2)) over the interval -infinity..infinity, with erfi the Imaginary Error Function.

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

Formula

a(n) = Sum_{k=0..floor(n/2)} binomial(n+1,2*k+1)*A034430(k).

Prog

(PARI) seq(n)={Vec(serlaplace(exp(x + x^2/2 + O(x*x^n)))^2)} \\ Andrew Howroyd, Nov 04 2019

Crossrefs

Cf. A000085, A034430.

Sequence in context: A173611 A292211 A293348 * A363240 A148281 A148282

Adjacent sequences: A188284 A188285 A188286 * A188288 A188289 A188290

Keyword

nonn

Author

Groux Roland, Mar 26 2011

Extensions

Terms a(20) and beyond from Andrew Howroyd, Nov 04 2019

Status

approved