id:A101591 - OEIS Search Results

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Indices k>=8 designating the k-Somos sequences that first become nonintegral at odd indexed terms (i.e. positions of odd terms in A030127).

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8, 9, 13, 16, 19, 20, 25, 27, 32, 37, 40, 53, 61, 64, 73, 80, 97, 104, 114, 128, 133, 134, 177, 205, 209, 232, 272, 275, 395, 486, 920, 991, 1174, 1195, 1609, 1612, 1707, 1734, 1856, 2168, 2313, 2409, 2896, 3136, 3857, 4753, 5503, 6289 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`When k is in this sequence, the k-Somos sequence first becomes nonintegral at 2k+1; otherwise, the k-Somos sequence first becomes nonintegral at 2k (conjecture).`
	LINKS	`Eric Weisstein. MathWorld - "Somos Sequence".`
	EXAMPLE	`The k-Somos sequence obeys the recurrence:` `S(n) = ( Sum_{j=1..[k/2]} S(n-j)*S(n-k+j) )/S(n-k),` `with S(0)=S(1)=...=S(k-1)=1.`
	CROSSREFS	`Cf. A030127.` `Sequence in context: A064164 A079525 A083131 this_sequence A076769 A105741 A083134` `Adjacent sequences: A101588 A101589 A101590 this_sequence A101592 A101593 A101594`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Dec 08 2004`
	EXTENSIONS	`More terms from David Wasserman (dwasserm(AT)earthlink.net), Apr 03 2008`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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