A131678 - OEIS

%I #18 Feb 22 2017 02:23:31

%S 1,9,9065925,7310502643675,176327300873583405,483041091658815453456,

%T 320648364425775841520065,79074323113562613259765875,

%U 9403175220694650942397475625,639220975955961365494757841040,27923612862792073359883606310061,852385355738368243011331354210716,19346552845649626158477975728463925

%N a(n) = (Product_{i=1..8} n^i+i) / 8!.

%C See A131685 about well-definedness. - _M. F. Hasler_, May 02 2015

%H G. C. Greubel, <a href="/A131678/b131678.txt">Table of n, a(n) for n = 0..1000</a>

%t Table[Product[ n^i + i, {i, 1, 8}]/8!, {n, 0, 12}] (* _Michael De Vlieger_, Jan 03 2016 *)

%o (PARI) A131678(n,k=8)=prod(i=1,k,(n^i+i))/k! \\ Changing the optional 2nd argument allows one to produce A000027 (k=1), A064808 (k=2), A131509 (k=3), A129995(k=4), A131675 (k=5), ..., A131680 (k=10). - _M. F. Hasler_, May 02 2015

%K nonn

%O 0,2

%A _Alexander R. Povolotsky_, Sep 15 2007

%E Definition made explicit by _M. F. Hasler_, May 02 2015