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A293117
E.g.f.: exp(x^2/(x-1)).
3
1, 0, -2, -6, -12, 0, 240, 2520, 21840, 181440, 1481760, 11642400, 80498880, 311351040, -4739454720, -183437654400, -4300276780800, -88851284121600, -1754954007206400, -34107089784768000, -659574028252339200, -12724865943229440000, -244046146272658329600
OFFSET
0,3
LINKS
FORMULA
D-finite with recurrence a(n) = (2*n-2)*a(n-1) - (n^2-n)*a(n-2) + (n^2-3*n+2)*a(n-3). - Robert Israel, Apr 29 2021
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, -add(
a(n-j)*binomial(n-1, j-1)*j!, j=2..n))
end:
seq(a(n), n=0..25); # Alois P. Heinz, Sep 30 2017
MATHEMATICA
CoefficientList[Series[E^(-x^2/(1-x)), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Sep 30 2017 *)
PROG
(PARI) x='x+O('x^66); Vec(serlaplace(exp(x^2/(x-1))))
CROSSREFS
Column k=1 of A293119.
Cf. A052845.
Sequence in context: A342540 A328449 A293589 * A293122 A014452 A188894
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 30 2017
STATUS
approved