cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A229554 a(n) = 7*n! + 1.

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%I A229554 #14 May 26 2025 10:01:18
%S A229554 8,8,15,43,169,841,5041,35281,282241,2540161,25401601,279417601,
%T A229554 3353011201,43589145601,610248038401,9153720576001,146459529216001,
%U A229554 2489811996672001,44816615940096001,851515702861824001,17030314057236480001,357636595201966080001
%N A229554 a(n) = 7*n! + 1.
%H A229554 Vincenzo Librandi, <a href="/A229554/b229554.txt">Table of n, a(n) for n = 0..200</a>
%F A229554 a(0)=8, a(n) = n*a(n-1)-n+1.
%F A229554 E.g.f.: 7/(1-x)+exp(x). - _Geoffrey Critzer_, Sep 30 2013
%t A229554 Table[7 n! + 1, {n, 0, 25}]
%o A229554 (Magma) [7*Factorial(n)+1: n in [0..25]];
%o A229554 (Magma) [8] cat [n eq 1 select n+7 else n*Self(n-1)-n+1: n in [1..25]];
%Y A229554 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 A229554 nonn,easy
%O A229554 0,1
%A A229554 _Vincenzo Librandi_, Sep 30 2013