%I M4459 N1890 #23 Oct 17 2023 07:19:41
%S 0,-7,128,-975,4608,-16340,48384,-124303,281600,-583746,1146240,
%T -2125108,3691008,-6151880,10055424,-15914895,24136704,-35748899,
%U 52583040,-75877938,105994240,-145580124,200279808,-272040500,359036928,-468767690,615599360
%N Glaisher's function theta(n) (18 squares version).
%C It would be nice to have a q-series that generates this sequence. Glaisher gives many formulas but they are difficult to follow.
%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="/A002614/b002614.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) = (A321546(n) - A002288(n)) / 17. - _Sean A. Irvine_, Mar 04 2019
%Y Cf. A002288, A321546.
%K sign
%O 1,2
%A _N. J. A. Sloane_
%E Edited and signs added by _N. J. A. Sloane_, Nov 26 2018
%E More terms from _Sean A. Irvine_, Mar 04 2019