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A058955 Let S(t) = 1 + s_1 t + s_2 t^2 + ... satisfy S' = -S/(2 + S); sequence gives numerators of s_n. +0
2
1, -1, 1, 0, -1, -1, 2, 1, -1, -7, -37, 368, 4981, -9383, -1129837, 461, 27108469, 68690009, -981587473, -23749507, 31685207789, 231197062, -394010311399, -16467167272, -39133970611597, 424044941703263, 169016775569984281, -29438912370551 (list; graph; listen)
OFFSET

0,7

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+...

MAPLE

t1 := diff(S(t), t) + S(t)/(2 + S(t)); dsolve({t1, S(0)=1}, S(t));

CROSSREFS

Cf. A058956.

Sequence in context: A139349 A120475 A086738 this_sequence A072286 A007375 A060865

Adjacent sequences: A058952 A058953 A058954 this_sequence A058956 A058957 A058958

KEYWORD

sign,frac

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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