id:A058955 - OEIS Search Results

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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.

+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) = 1-1/3t+1/27t^2-1/4374t^4-1/98415t^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	`njas, Jan 13 2001`

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.

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