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A002112 Glaisher's H numbers.
(Formerly M3135 N1272)
+0
3
3, 33, 903, 46113, 3784503, 455538993, 75603118503, 16546026500673, 4616979073434903, 1599868423237443153, 674014138103352845703, 339274210193051498798433, 201097637653063767131142903, 138634566390566081044811718513 (list; graph; listen)
OFFSET

1,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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, On a set of coefficients analogous to the Eulerian numbers, Proc. London Math. Soc., 31 (1899), 216-235.

LINKS

Index entries for sequences related to Glaisher's numbers

FORMULA

H(n)=2^(2n+1)*I(n), where e.g.f. for (-1)^n*I(n) is (3/2)/(1+exp(x)+exp(-x)) (see A047788, A047789).

H(n) = 3* A000436(n)/2^(2n+1)= 3*A002114(n). - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 17 2004

CROSSREFS

Adjacent sequences: A002109 A002110 A002111 this_sequence A002113 A002114 A002115

Sequence in context: A009690 A124432 A126466 this_sequence A055549 A086894 A012487

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 3 12:59 EST 2009. Contains 165766 sequences.


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