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Search: id:A000706
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| A000706 |
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Expansion of modular function 1/E_3 (cf. A013973).
(Formerly M5458 N2367)
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+0
1
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| 1, 504, 270648, 144912096, 77599626552, 41553943041744, 22251789971649504, 11915647845248387520, 6380729991419236488504, 3416827666558895485479576, 1829682703808504464920468048, 979779820147442370107345764512
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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S. Ramanujan, Collected Papers of Srinivasa Ramanujan, pp. 115-7, Ed. G. H. Hardy et al., AMS Chelsea 2000, p. 317.
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FORMULA
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Expansion of Ramanujan's function 1/R(q) in powers of q.
G.f. A(x) satisfies 0= f(A(x), A(x^2), A(x^4)) where f(u, v, w)= v^2*w^2 +121*u^2*w^2 +4096*u^2*v^2 -8*v^3*w -512*u*v^3 -66*u*v*w^2 +592*u*v^2*w -4224*u^2*v*w. - Michael Somos Aug 09 2007
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PROGRAM
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(PARI) {a(n)= if(n<0, 0, polcoeff( 1/sum(k=1, n, -504*sigma(k, 5)*x^k, 1+x*O(x^n)), n))} /* Michael Somos Aug 09 2007 */
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CROSSREFS
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Convolution inverse of A013973.
Sequence in context: A012744 A035293 A105097 this_sequence A068299 A003798 A003791
Adjacent sequences: A000703 A000704 A000705 this_sequence A000707 A000708 A000709
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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