A002615 Glaisher's function T_1(n). (Formerly M5076 N2196)

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

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

Sean A. Irvine, Table of n, a(n) for n = 1..500

Index entries for sequences mentioned by Glaisher

Formula

a(n) = 19 * A002288(n) - A002614(n). - Sean A. Irvine, Mar 04 2019

Crossrefs

Cf. A002288, A002614.

Sequence in context: A221600 A110694 A107962 * A081590 A093646 A264679

Adjacent sequences: A002612 A002613 A002614 * A002616 A002617 A002618

Keyword

sign

Author

N. J. A. Sloane

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