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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.

A284865 Alternating row sums of the Sheffer triangle S2[3,2] given by A225466.

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%I A284865 #10 Nov 22 2024 00:35:21
%S A284865 1,-1,-8,-1,217,1196,-3725,-115777,-803150,3402485,145172737,
%T A284865 1528780238,-1328359499,-320347469485,-5507171702648,-28294413916213,
%U A284865 915647446089037,28738067698188692,369693788462739487,-1233559476327263869
%N A284865 Alternating row sums of the Sheffer triangle S2[3,2] given by A225466.
%C A284865 This is a generalization of sequence A000587 because S2[3,2] = A225466 is a generalization of the Stirling2 triangle A048993.
%C A284865 For the row sums see A284864.
%F A284865 a(n) = Sum_{k=0..n} (-1)^k*A225466(n, k).
%F A284865 E.g.f.: exp(2*x)*exp(1 - exp(3*x)) (Sheffer property).
%F A284865 a(n) = (1/e)*Sum_{m>=0} ((-1)^m / m!)*(2+3*m)^n, n >= 0, (DobiƄski type formula).
%Y A284865 Cf. A000587, A225466, A284864, A284860 (case [3,1]).
%K A284865 sign,easy
%O A284865 0,3
%A A284865 _Wolfdieter Lang_, Apr 10 2017