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A002438
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Multiples of Euler numbers.
(Formerly M4029 N1672)
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2
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1, 5, 205, 22265, 4544185, 1491632525, 718181418565, 476768795646785, 417370516232719345, 465849831125196593045, 645702241048404020542525, 1088120580608731523115639305, 2190881346273790815462670984105
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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. 75.
Glaisher, J. W. L.; Messenger of Math., 28 (1898), 36-79, see esp. p. 51.
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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FORMULA
| A000364(n) * (3^(2n)+1)/2.
a(n+1) = Sum_{k, 0<=k<=n} A086646(n, k)*(-4)^k*9^(n-k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 26 2005
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MATHEMATICA
| a[n_] := (1+9^(n-1))*Abs[EulerE[2*(n-1)]]/2; Table[ a[n], {n, 1, 13}](* From Jean-François Alcover, Feb 10 2012 *)
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CROSSREFS
| Sequence in context: A012811 A186722 A060486 * A005333 A162087 A068531
Adjacent sequences: A002435 A002436 A002437 * A002439 A002440 A002441
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KEYWORD
| nonn,easy,nice,changed
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from H. P. Robinson.
More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), May 09 2010
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