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A002615
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Glaisher's function T_1(n).
(Formerly M5076 N2196)
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1
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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
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OFFSET
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1,1
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COMMENTS
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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
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REFERENCES
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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).
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LINKS
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Sean A. Irvine, Table of n, a(n) for n = 1..500
Index entries for sequences mentioned by Glaisher
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FORMULA
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a(n) = 19 * A002288(n) - A002614(n). - Sean A. Irvine, Mar 04 2019
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CROSSREFS
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Cf. A002288, A002614.
Sequence in context: A221600 A110694 A107962 * A081590 A093646 A264679
Adjacent sequences: A002612 A002613 A002614 * A002616 A002617 A002618
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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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
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STATUS
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approved
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