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.

A358605 a(n) = Sum_{k=0..floor(n/4)} (-1)^k * (n-3*k)!/(n-4*k)!.

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%I A358605 #15 Nov 28 2022 12:05:21
%S A358605 1,1,1,1,0,-1,-2,-3,-2,1,6,13,16,9,-14,-59,-108,-119,-26,261,736,1177,
%T A358605 1026,-731,-4964,-11079,-14978,-6299,30024,102841,189466,190917,
%U A358605 -97004,-921191,-2301354,-3396539,-1674368,7265241,27311794,53600101,56943756,-31760903,-310594514,-809146971
%N A358605 a(n) = Sum_{k=0..floor(n/4)} (-1)^k * (n-3*k)!/(n-4*k)!.
%H A358605 Seiichi Manyama, <a href="/A358605/b358605.txt">Table of n, a(n) for n = 0..1000</a>
%F A358605 a(n) = (3 * a(n-1) - n * a(n-4) + 1)/4 for n > 3.
%o A358605 (PARI) a(n) = sum(k=0, n\4, (-1)^k*(n-3*k)!/(n-4*k)!);
%Y A358605 Cf. A358603, A358604, A358606.
%Y A358605 Cf. A357533.
%K A358605 sign
%O A358605 0,7
%A A358605 _Seiichi Manyama_, Nov 23 2022