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%I M5076 N2196 #29 Mar 04 2019 17:10:48
%S 19,-145,100,2191,-8598,14516,-29080,114575,-320417,615666,-1125492,
%T 2139700,-3664750,5997448,-10103304,15992719,-23857290,36059435,
%U -53341900,75622578,-105762592,145414140,-198974280,271923764,-359683403,468557626
%N Glaisher's function T_1(n).
%C It would be nice to have a q-series that generates this sequence. Glaisher gives many formulas but they are difficult to follow.
%C Glaisher table on p. 349 apparently has typos, a(5) = -8592, a(10) = 615566. - _Sean A. Irvine_, Mar 04 2019
%D J. W. L. Glaisher, On the representation of a number as sum of 18 squares, Quart. J. Math. 38 (1907), 289-351 (see p. 349). [The whole 1907 volume of The Quarterly Journal of Pure and Applied Mathematics, volume 38, is freely available from Google Books]
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Sean A. Irvine, <a href="/A002615/b002615.txt">Table of n, a(n) for n = 1..500</a>
%H <a href="/index/Ge#Glaisher">Index entries for sequences mentioned by Glaisher</a>
%F a(n) = 19 * A002288(n) - A002614(n). - _Sean A. Irvine_, Mar 04 2019
%Y Cf. A002288, A002614.
%K sign
%O 1,1
%A _N. J. A. Sloane_
%E Edited and signs added by _N. J. A. Sloane_, Nov 26 2018
%E a(5) and a(10) corrected and more terms from _Sean A. Irvine_, Mar 04 2019
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