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A006229 Expansion of exp( tan x ).
(Formerly M2822)
+0
6
1, 1, 1, 3, 9, 37, 177, 959, 6097, 41641, 325249, 2693691, 24807321, 241586893, 2558036145, 28607094455, 342232522657, 4315903789009, 57569080467073, 807258131578995, 11879658510739497, 183184249105857781 (list; graph; listen)
OFFSET

0,4

REFERENCES

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

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 259, Sum_{k} T(n,k).

CRC Standard Mathematical Tables and Formulae, 30th ed. 1996, p. 42.

L. B. W. Jolley, Summation of Series. 2nd ed., Dover, NY, 1961, p. 150.

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

FORMULA

E.g.f.: exp(tan(x)).

CROSSREFS

Cf. A003711, A003717.

Cf. A047691, A047692. Row sums of A059419 and unsigned A111593.

Sequence in context: A002751 A119856 A077365 this_sequence A008986 A105215 A158053

Adjacent sequences: A006226 A006227 A006228 this_sequence A006230 A006231 A006232

KEYWORD

nonn,easy,nice

AUTHOR

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

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Feb 08 2001

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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