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A058956 Let S(t) = 1 + s_1 t + s_2 t^2 + ... satisfy S' = -S/(2 + S); sequence gives denominators of s_n. +0
2
1, 3, 27, 1, 4374, 98415, 885735, 3720087, 55801305, 1291401630, 813583026900, 4027235983155, 724902476967900, 7710326345931300, 5343256157730390900, 52845390570959910, 5770716650348822172000, 441459823751684896158000 (list; graph; listen)
OFFSET

0,2

FORMULA

S(t) = 2 LambertW(1/2 exp(- 1/2 t) exp(1/2)).

EXAMPLE

S(t) = 1-1/3*t+1/27*t^2-1/4374*t^4-1/98415*t^5+...

CROSSREFS

Cf. A058955.

Sequence in context: A005156 A101613 A088730 this_sequence A010257 A121068 A136895

Adjacent sequences: A058953 A058954 A058955 this_sequence A058957 A058958 A058959

KEYWORD

nonn,frac

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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