id:A091154 - OEIS Search Results

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Numerator of Maclaurin expansion of (t Sqrt[t^2+1]+ArcSinh[t])/2, the arc length of Archimedes' spiral.

+0
1

1, 1, -1, 1, -5, 7, -21, 11, -429, 715, -2431, 4199, -29393, 52003, -185725, 334305, -3231615, 3535767, -64822395, 39803225, -883631595, 1641030105, -407771117, 11435320455, -171529806825, 107492012277, -1215486600363, 2295919134019 (list; graph; listen)

	OFFSET	`1,5`
	LINKS	`Eric Weisstein's World of Mathematics, Archimedes' Spiral`
	EXAMPLE	`t + t^3/6 - t^5/40 + t^7/112 - (5t^9)/1152 + (7t^11)/2816 - ...`
	CROSSREFS	`Denominators are in A002595` `Sequence in context: A130729 A117321 A120035 this_sequence A057424 A027152 A076197` `Adjacent sequences: A091151 A091152 A091153 this_sequence A091155 A091156 A091157`
	KEYWORD	`sign,easy`
	AUTHOR	`Eric Weisstein (eric(AT)weisstein.com), Dec 22, 2003`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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