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.

A002611 Glaisher's function V(n).

This page as a plain text file.
%I A002611 M3235 N1305 #20 Mar 04 2019 01:53:55
%S A002611 0,1,4,-4,-32,-16,56,80,192,98,-740,-704,96,-224,2440,3520,-2624,-351,
%T A002611 -780,-10632,2688,2960,-9496,18176,14208,-3934,12552,-9856,-24608,
%U A002611 -9760,-2720,-25344,-35520,31106,34160,62844,84576,3120,-21880,-82272,27520,-96768,-237316,130240,-92832,37984,305296,-183296,37632,208803
%N A002611 Glaisher's function V(n).
%C A002611 It would be nice to have a q-series that generates this sequence. Glaisher gives many formulas but they are difficult to follow.
%D A002611 J. W. L. Glaisher, On the representation of a number as sum of 18 squares, Quart. J. Math. 38 (1907), 289-351 (see p. 320). [The whole 1907 volume of The Quarterly Journal of Pure and Applied Mathematics, volume 38, is freely available from Google Books]
%D A002611 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002611 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002611 <a href="/index/Ge#Glaisher">Index entries for sequences mentioned by Glaisher</a>
%F A002611 a(n) = Sum_{k=1..floor(n/2)} A004018(n - 2*k) * A002288(k). - _Sean A. Irvine_, Mar 04 2019
%Y A002611 Cf. A002288, A004018.
%K A002611 sign
%O A002611 1,3
%A A002611 _N. J. A. Sloane_
%E A002611 Edited and signs added by _N. J. A. Sloane_, Nov 26 2018
%E A002611 More terms from _Sean A. Irvine_, Mar 04 2019