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%I #11 Jun 09 2023 21:32:45
%S 8,8,15,43,169,841,5041,35281,282241,2540161,25401601,279417601,
%T 3353011201,43589145601,610248038401,9153720576001,146459529216001,
%U 2489811996672001,44816615940096001,851515702861824001,17030314057236480001,357636595201966080001
%N a(n) = 7*n! + 1.
%H Vincenzo Librandi, <a href="/A229554/b229554.txt">Table of n, a(n) for n = 0..200</a>
%F a(0)=8, a(n) = n*a(n-1)-n+1.
%F E.g.f.: 7/(1-x)+exp(x). - _Geoffrey Critzer_, Sep 30 2013
%t Table[7 n! + 1, {n, 0, 25}]
%o (Magma) [7*Factorial(n)+1: n in [0..25]]; /* or */ [8] cat [n eq 1 select n+7 else n*Self(n-1)-n+1: n in [1..25]];
%Y Cf. sequences of the type k*n!+1: A038507 (k=1), A052898 (k=2), A173324 (k=3), A173322 (k=4), A173319 (k=5), A173314 (k=6), this sequence (k=7).
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Sep 30 2013
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