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.

A384836 a(n) = Sum_{k=0..floor(n/4)} |Stirling1(n,4*k)|.

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%I A384836 #10 Jun 10 2025 14:51:32
%S A384836 1,0,0,0,1,10,85,735,6770,67320,724550,8427650,105615500,1420941600,
%T A384836 20448793300,313670857500,5111631733000,88224807112000,
%U A384836 1608190674259000,30879323250633000,623074177992110000,13182400475167560000,291842125111122170000,6748135840840046510000
%N A384836 a(n) = Sum_{k=0..floor(n/4)} |Stirling1(n,4*k)|.
%F A384836 a(n) ~ n!/4.
%t A384836 Table[Sum[Abs[StirlingS1[n, 4*k]], {k, 0, Floor[n/4]}], {n, 0, 30}]
%o A384836 (PARI) a(n) = sum(k=0, n\4, abs(stirling(n, 4*k, 1))); \\ _Michel Marcus_, Jun 10 2025
%Y A384836 Cf. A000142, A001710, A357828, A384837.
%Y A384836 Cf. A000110, A024430, A143815, A365525, A365528.
%K A384836 nonn
%O A384836 0,6
%A A384836 _Vaclav Kotesovec_, Jun 10 2025