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A279640 Exponential transform of the seventh powers A001015. 2
1, 1, 129, 2572, 75053, 3228316, 129317797, 6067246144, 321040274585, 17868559819600, 1077981490855241, 69836621117631424, 4779269972787701701, 345917535629669229760, 26385854407691758178669, 2109071203770345994999936, 176264605227324999129677873 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..384

FORMULA

E.g.f.: exp(exp(x)*(x^7+21*x^6+140*x^5+350*x^4+301*x^3+63*x^2+x)).

MAPLE

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

      add(binomial(n-1, j-1)*j^7*a(n-j), j=1..n))

    end:

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

CROSSREFS

Column k=7 of A279636.

Cf. A001015.

Sequence in context: A023876 A301551 A297493 * A305722 A189608 A168067

Adjacent sequences:  A279637 A279638 A279639 * A279641 A279642 A279643

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.)