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Search: id:A058955
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| A058955 |
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Let S(t) = 1 + s_1 t + s_2 t^2 + ... satisfy S' = -S/(2 + S); sequence gives numerators of s_n. |
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2
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| 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)
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OFFSET
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0,7
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FORMULA
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S(t) = 2 LambertW(1/2 exp(- 1/2 t) exp(1/2)).
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EXAMPLE
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S(t) = 1-1/3*t+1/27*t^2-1/4374*t^4-1/98415*t^5+...
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MAPLE
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t1 := diff(S(t), t) + S(t)/(2 + S(t)); dsolve({t1, S(0)=1}, S(t));
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CROSSREFS
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Cf. A058956.
Sequence in context: A139349 A120475 A086738 this_sequence A072286 A007375 A060865
Adjacent sequences: A058952 A058953 A058954 this_sequence A058956 A058957 A058958
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KEYWORD
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sign,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Jan 13 2001
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