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Search: id:A064512
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| A064512 |
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Ramanujan's function F_7(q). |
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+0
2
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| 1, 14, 42, -14, -70, -42, 70, -140, 42, 126, 210, -84, 294, -294, -84, 0, 154, -504, 378, -630, 882, -350, -252, 252, 1190, 350, 1470, -1148, 1372, -756, 0, -1680, -630, -1708, 2520, -1050, -630, -532, 3150, 0, 3570, -2940, 1750, 812, 420, -3066, 756, -3864
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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S. Ahlgren, The sixth, eighth, ninth and tenth powers of Ramanujan's theta function, Proc. Amer. Math. Soc., 128 (1999), 1333-1338; F_7(q).
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FORMULA
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subs(q=-q, f)^7/subs(q=-q^7, f)+7*q^2*subs(q=-q^7, f)^7/subs(q=-q, f)+7*q*subs(q=-q, f)^3*subs(q=-q^7, f)^3, where f = A010815 = Sum_{k=-infinity, infinity} (-1)^k*q^(k*(3*k-1)/2).
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EXAMPLE
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1 + 14*q + 42*q^2 - 14*q^3 - 70*q^4 - 42*q^5 + 70*q^6 - 140*q^7 + 42*q^8 + 126*q^9 + ...
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CROSSREFS
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Sequence in context: A039404 A043227 A044007 this_sequence A118237 A163756 A005587
Adjacent sequences: A064509 A064510 A064511 this_sequence A064513 A064514 A064515
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Oct 06 2001
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