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A002615 Glaisher's function T_1(n).
(Formerly M5076 N2196)
1
19, -145, 100, 2191, -8598, 14516, -29080, 114575, -320417, 615666, -1125492, 2139700, -3664750, 5997448, -10103304, 15992719, -23857290, 36059435, -53341900, 75622578, -105762592, 145414140, -198974280, 271923764, -359683403, 468557626 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
It would be nice to have a q-series that generates this sequence. Glaisher gives many formulas but they are difficult to follow.
Glaisher table on p. 349 apparently has typos, a(5) = -8592, a(10) = 615566. - Sean A. Irvine, Mar 04 2019
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. 349). [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
FORMULA
a(n) = 19 * A002288(n) - A002614(n). - Sean A. Irvine, Mar 04 2019
CROSSREFS
Sequence in context: A221600 A110694 A107962 * A081590 A093646 A264679
KEYWORD
sign
AUTHOR
EXTENSIONS
Edited and signs added by N. J. A. Sloane, Nov 26 2018
a(5) and a(10) corrected and more terms from Sean A. Irvine, Mar 04 2019
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)