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A188287 Convolution of A000085 with itself. 1
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 (list; graph; refs; listen; history; text; internal format)
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 * A148281 A148282 A148283

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

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Last modified August 3 11:42 EDT 2020. Contains 336198 sequences. (Running on oeis4.)