id:A127392 - OEIS Search Results

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Series expansion of the elliptic function sqrt(k)/q^(1/4), where sqrt(k) = theta_2/theta_3.

+0
6

2, -4, 10, -20, 36, -64, 110, -180, 288, -452, 692, -1044, 1554, -2276, 3296, -4724, 6696, -9408, 13108, -18112, 24850, -33864, 45844, -61696, 82564, -109892, 145536, -191828, 251684, -328804, 427802, -554408, 715808, -920896, 1180660, -1508736, 1921896, -2440740, 3090612 (list; graph; listen)

	OFFSET	`0,1`
	REFERENCES	`N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. Soc., 1988; Eq. (34.3).`
	EXAMPLE	`2-4q+10q^2-20q^3+36q^4-64q^5+110q^6-180*q^7+...`
	CROSSREFS	`See A127391 for another version. Dividing by 2 gives A079006. Cf. A001936, A001938.` `Sequence in context: A083844 A026554 A099413 this_sequence A004647 A167030 A167193` `Adjacent sequences: A127389 A127390 A127391 this_sequence A127393 A127394 A127395`
	KEYWORD	`sign`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Mar 31 2007`

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Last modified March 9 00:15 EST 2010. Contains 173097 sequences.

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