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A279639 Exponential transform of the sixth powers A001014. 2
1, 1, 65, 922, 19685, 572036, 16379797, 542459296, 20028938953, 787480005520, 33447797179721, 1522102664036384, 73362723948758125, 3738119667151161280, 200625910519541044189, 11290451562860730241216, 664399657108812332697233, 40781390340823661046136064 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..405

FORMULA

E.g.f.: exp(exp(x)*(x^6+15*x^5+65*x^4+90*x^3+31*x^2+x)).

MAPLE

a:= proc(n) option remember; `if`(n=0, 1,

      add(binomial(n-1, j-1)*j^6*a(n-j), j=1..n))

    end:

seq(a(n), n=0..25);

CROSSREFS

Column k=6 of A279636.

Cf. A001014.

Sequence in context: A301550 A027463 A305264 * A144500 A086021 A168029

Adjacent sequences:  A279636 A279637 A279638 * A279640 A279641 A279642

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Dec 16 2016

STATUS

approved

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Last modified September 20 12:42 EDT 2018. Contains 315239 sequences. (Running on oeis4.)