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A080832 Expansion of the exponential series Exp[x] Sec[ Exp[x] - 1 ]^2. +0
2
1, 1, 3, 13, 67, 421, 3115, 26349, 250867, 2655541, 30929019, 393019837, 5410699075, 80221867909, 1274393162827, 21594697199757, 388796268801427, 7411769447027413, 149143210226032923, 3159088788867736669 (list; graph; listen)
OFFSET

0,3

FORMULA

E.G.F. Exp[x] Sec[ Exp[x] - 1 ]^2

The sequence 0, 1, 1, 3, ... has e.g.f. tan(exp(x)-1). It has general term sum{k=0..n, S2(n, k)A009006(k)} for n>1 (S2(n, k) Stirling numbers of second kind). - Paul Barry (pbarry(AT)wit.ie), Apr 20 2005

CROSSREFS

Sequence in context: A114191 A107592 A028418 this_sequence A020017 A060014 A042659

Adjacent sequences: A080829 A080830 A080831 this_sequence A080833 A080834 A080835

KEYWORD

easy,nonn

AUTHOR

Emanuele Munarini (munarini(AT)mate.polimi.it), Mar 28 2003

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Last modified December 18 21:37 EST 2009. Contains 171024 sequences.


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