id:A127391 - OEIS Search Results

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Series expansion of the elliptic function sqrt(k) = theta_2/theta_3.

+0
5

0, 2, 0, 0, 0, -4, 0, 0, 0, 10, 0, 0, 0, -20, 0, 0, 0, 36, 0, 0, 0, -64, 0, 0, 0, 110, 0, 0, 0, -180, 0, 0, 0, 288, 0, 0, 0, -452, 0, 0, 0, 692, 0, 0, 0, -1044, 0, 0, 0, 1554, 0, 0, 0, -2276, 0, 0, 0, 3296, 0, 0, 0, -4724, 0, 0, 0, 6696, 0, 0, 0, -9408, 0, 0, 0, 13108, 0, 0, 0, -18112, 0, 0, 0, 24850, 0 (list; graph; listen)

	OFFSET	`0,2`
	REFERENCES	`N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. Soc., 1988; Eq. (34.3).`
	EXAMPLE	`2q-4q^5+10q^9-20q^13+36q^17-64q^21+110q^25-180q^29+...`
	CROSSREFS	`See A127392 for another version. Dividing by 2 gives A079006. Cf. A001936, A001938` `Sequence in context: A135416 A134309 A051516 this_sequence A113277 A114855 A100951` `Adjacent sequences: A127388 A127389 A127390 this_sequence A127392 A127393 A127394`
	KEYWORD	`sign`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Mar 31 2007`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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