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Search: id:A002439
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| A002439 |
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Glaisher's T numbers.
(Formerly M5138 N2228)
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+0
3
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| 1, 23, 1681, 257543, 67637281, 27138236663, 15442193173681, 11828536957233383, 11735529528739490881, 14639678925928297567703, 22427641105413135505628881, 41393949926819051111431239623
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 76.
J. W. L. Glaisher, Messenger of Math., 28 (1898), 36-79, see esp. p. 76.
J. W. L. Glaisher, Quart. J. Pure Appl. Math., 29 (1898), 1-168, see esp. p. 76(?).
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
Index entries for sequences related to Glaisher's numbers
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FORMULA
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E.g.f: sin(2*x)/(2*cos(3*x)) = Sum a(n)*x^(2*n-1)/(2*n-1)!.
a(1)=1, a(n)=(-4)^(n-1) - Sum_{k=1..n} (-9)^k*C(2*n-1, 2*k)*a(n-k).
a(n) = (-1)^(n+1)*(1/12)*E_{2n+1}*6^(2*n+1), where E_m are the Euler numbers. - R. W. Gosper Aug 08, 2001
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PROGRAM
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(PARI) a(n)=if(n<2, n>0, (-4)^(n-1)-sum(k=1, n, (-9)^k*C(2*n-1, 2*k)*a(n-k)))
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CROSSREFS
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Sequence in context: A049003 A003281 A034243 this_sequence A132395 A064016 A138735
Adjacent sequences: A002436 A002437 A002438 this_sequence A002440 A002441 A002442
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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EXTENSIONS
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More terms from Michael Somos
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