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

Author

Groux Roland, Mar 26 2011

Keywords

• nonn

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

Crossrefs

Cf. A000085, A034430.

Programs

PARI

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

Formula

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

Extensions

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