id:A058937 - OEIS Search Results

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Maximal exponent of x in all terms of Somos polynomial of order n.

+0
3

1, 0, 0, 0, 0, 1, 2, 3, 5, 7, 9, 12, 15, 18, 22, 26, 30, 35, 40, 45, 51, 57, 63, 70, 77, 84, 92, 100, 108, 117, 126, 135, 145, 155, 165, 176, 187, 198, 210, 222, 234, 247, 260, 273, 287, 301, 315, 330, 345, 360, 376, 392, 408, 425, 442, 459, 477, 495, 513, 532, 551 (list; graph; listen)

	OFFSET	`1,7`
	COMMENT	`This sequence differs from A001840 only in four terms preceding it.`
	LINKS	`M. Somos, Somos Polynomials`
	FORMULA	`e(n) = 1 + e(n-1) + e(n-3) - e(n-4).`
	MATHEMATICA	`e[1] = 1; e[2] = e[3] = e[4] = e[5] = 0; e[n_] := e[n] = 1 + e[n - 1] + e[n - 3] - e[n - 4]; Table[e[n], {n, 1, 70}]`
	CROSSREFS	`Cf. A001840.` `Sequence in context: A071423 A062781 A145919 this_sequence A130518 A001840 A130206` `Adjacent sequences: A058934 A058935 A058936 this_sequence A058938 A058939 A058940`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 11 2001`

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

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