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A279640 Exponential transform of the seventh powers A001015. 2

%I #4 Dec 16 2016 10:48:23

%S 1,1,129,2572,75053,3228316,129317797,6067246144,321040274585,

%T 17868559819600,1077981490855241,69836621117631424,

%U 4779269972787701701,345917535629669229760,26385854407691758178669,2109071203770345994999936,176264605227324999129677873

%N Exponential transform of the seventh powers A001015.

%H Alois P. Heinz, <a href="/A279640/b279640.txt">Table of n, a(n) for n = 0..384</a>

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

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

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

%p end:

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

%Y Column k=7 of A279636.

%Y Cf. A001015.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Dec 16 2016

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)