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Search: id:A064511
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| A064511 |
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Ramanujan's function F_5(q). |
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+0
1
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| 1, 10, 0, 0, -30, 30, -20, 0, 0, 70, -20, 120, 0, 0, -60, 40, -110, 0, 0, 200, -90, 120, 0, 0, -100, 130, -120, 0, 0, 300, -60, 320, 0, 0, -160, 120, -210, 0, 0, 240, -100, 420, 0, 0, -360, 210, -220, 0, 0, 430, -120, 320, 0, 0, -200, 360, -300, 0, 0, 600, -120, 620
(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_5(q).
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FORMULA
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subs(q=-q, f)^5/subs(q=-q^5, f)+5*q*subs(q=-q^5, f)^5/subs(q=-q, f), 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 + 10*q - 30*q^4 + 30*q^5 - 20*q^6 + 70*q^9 - 20*q^10 + 120*q^11 - 60*q^14 + ...
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CROSSREFS
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See A000122 for F_2, A004016 for F_3, A004013 for F_4, A064511 (this sequence) for F_5, A064512 for F_7.
Sequence in context: A010894 A002045 A063699 this_sequence A003785 A038689 A030000
Adjacent sequences: A064508 A064509 A064510 this_sequence A064512 A064513 A064514
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KEYWORD
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sign
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AUTHOR
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njas, Oct 06 2001
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