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A002511
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Expansion of a modular function for Gamma_0(21).
(Formerly M1566 N0610)
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0
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1, 1, 2, 6, 8, 13, 29, 44, 66, 122, 184, 269, 448, 668, 972, 1505, 2205, 3153, 4677, 6717, 9480, 13656, 19245, 26793, 37714, 52301, 71894, 99392, 135969, 184637, 251492, 339793, 456432, 613837, 820388, 1091154, 1451243, 1920637, 2531468
(list; graph; refs; listen; history; internal format)
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OFFSET
| 6,3
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REFERENCES
| Newman, Morris; Construction and application of a class of modular functions. II. Proc. London Math. Soc. (3) 9 1959 373-387.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| eta(21z)^9/(eta(z)*eta(3z)^3*eta(7z)^5)
Euler transform of period 21 sequence [1, 1, 4, 1, 1, 4, 6, 1, 4, 1, 1, 4, 1, 6, 4, 1, 1, 4, 1, 1, 0, ...]. - Michael Somos Nov 10 2005
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PROG
| (PARI) {a(n)=local(A); if(n<6, 0, n-=6; A=x*O(x^n); polcoeff( eta(x^21+A)^9/ eta(x+A)/eta(x^3+A)^3/eta(x^7+A)^5, n))} /* Michael Somos Nov 10 2005 */
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CROSSREFS
| Sequence in context: A054248 A038108 A087327 * A074383 A107505 A074400
Adjacent sequences: A002508 A002509 A002510 * A002512 A002513 A002514
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jan 14 2001
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