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Glaisher's function H'(4n+1) (18 squares version).
(Formerly M4051 N1681)
1

%I M4051 N1681 #30 Mar 04 2019 06:07:39

%S 0,1,-6,-3,82,-84,-444,769,1110,-2643,-860,2901,-1176,6277,1170,

%T -21315,-2308,14244,29442,15540,-58194,-13338,-31886,4080,176682,

%U -70715,-51240,81489,-135728,13137,-205350,58826,355974,16380,530932,-457944,-938748,140329,99462,317157

%N Glaisher's function H'(4n+1) (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. 312). [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="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a002/A002610.java">Java program</a> (github)

%H <a href="/index/Ge#Glaisher">Index entries for sequences mentioned by Glaisher</a>

%F See eqn. top of page 312 in Glaisher, where Theta(n) is A002288(n). - _Sean A. Irvine_, Mar 03 2019

%Y Cf. A002288.

%K sign

%O 0,3

%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 03 2019