login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A002610 Glaisher's function H'(4n+1) (18 squares version).
(Formerly M4051 N1681)
1
0, 1, -6, -3, 82, -84, -444, 769, 1110, -2643, -860, 2901, -1176, 6277, 1170, -21315, -2308, 14244, 29442, 15540, -58194, -13338, -31886, 4080, 176682, -70715, -51240, 81489, -135728, 13137, -205350, 58826, 355974, 16380, 530932, -457944, -938748, 140329, 99462, 317157 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
It would be nice to have a q-series that generates this sequence. Glaisher gives many formulas but they are difficult to follow.
REFERENCES
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]
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Sean A. Irvine, Java program (github)
FORMULA
See eqn. top of page 312 in Glaisher, where Theta(n) is A002288(n). - Sean A. Irvine, Mar 03 2019
CROSSREFS
Cf. A002288.
Sequence in context: A324673 A367377 A324004 * A100979 A279107 A266661
KEYWORD
sign
AUTHOR
EXTENSIONS
Edited and signs added by N. J. A. Sloane, Nov 26 2018
More terms from Sean A. Irvine, Mar 03 2019
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 11:44 EDT 2024. Contains 371241 sequences. (Running on oeis4.)