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A291632 Column 1 of A122832. 1
0, 1, 2, 9, 28, 125, 486, 2317, 10424, 53433, 267850, 1470161, 8032212, 46925749, 275437358, 1702883925, 10630404976, 69192858737, 455957606034, 3110617216153, 21512638153100, 153234193139181, 1107087138215542, 8206182165264029, 61703155328534568 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

FORMULA

E.g.f.: x*exp(x*(x+1)).

Recurrence: (n-1)*a(n) = n*a(n-1) + 2*(n-1)*n*a(n-2).

a(n) ~ 2^(n/2 - 1) * n^((n+1)/2) * exp(sqrt(n/2) - n/2 - 1/8).

MATHEMATICA

Table[n!*Sum[Binomial[i, n - 1 - i]/i!, {i, 0, n - 1}], {n, 0, 30}]

CoefficientList[Series[x*E^(x*(x+1)), {x, 0, 20}], x] * Range[0, 20]!

CROSSREFS

Cf. A122832, A047974.

Sequence in context: A307400 A323682 A086511 * A328281 A324372 A138912

Adjacent sequences:  A291629 A291630 A291631 * A291633 A291634 A291635

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 28 2017

STATUS

approved

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Last modified October 22 22:34 EDT 2019. Contains 328335 sequences. (Running on oeis4.)