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 A134833 Alternating row sums of triangle A134832. 2

%I #9 Nov 11 2016 21:48:51

%S 1,-1,1,0,-2,12,-16,144,368,4768,39488,412288,4577280,55671808,

%T 731390976,10335518720,156303439872,2518984822784,43099089166336,

%U 780268880543744,14902336357040128,299452809649520640,6315501510334480384,139485953831272710144,3219718099932104622080

%N Alternating row sums of triangle A134832.

%H G. C. Greubel, <a href="/A134833/b134833.txt">Table of n, a(n) for n = 0..449</a>

%F a(n) = Sum_{k=0..n} A134832(n,k)*(-1)^k for n>=0.

%t A000757[n_] := (-1)^n + Sum[(-1)^k*n!/((n - k)*k!), {k, 0, n - 1}]; a[n_, n_] = 1; a[n_, 0] := A000757[n]; a[n_, k_] := a[n, k] = n/k*a[n - 1, k - 1]; Table[Sum[a[n, k]*(-1)^k, {k, 0, n}], {n, 0, 10}] (* _G. C. Greubel_, Nov 10 2016 *)

%Y Cf. A000142 (factorials as row sums of triangle A134832).

%K sign,easy

%O 0,5

%A _Wolfdieter Lang_, Jan 21 2008

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Last modified August 7 21:19 EDT 2024. Contains 375017 sequences. (Running on oeis4.)