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A127392 Series expansion of the elliptic function sqrt(k)/q^(1/4), where sqrt(k) = theta_2/theta_3. 5
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; refs; listen; history; internal format)
OFFSET

0,1

REFERENCES

N. J. Fine, Basic Hypergeometric Series and Applications, Amer. Math. Soc., 1988; Eq. (34.3).

EXAMPLE

2-4*q+10*q^2-20*q^3+36*q^4-64*q^5+110*q^6-180*q^7+...

CROSSREFS

See A127391 for another version. Dividing by 2 gives A079006. Cf. A001936, A001938.

Sequence in context: A026554 A099413 A174175 * A189585 A004647 A167030

Adjacent sequences:  A127389 A127390 A127391 * A127393 A127394 A127395

KEYWORD

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mar 31 2007

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Last modified February 16 02:51 EST 2012. Contains 205860 sequences.