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A097243
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Expansion of q-series used in construction of j(tau) to j(2tau) iteration.
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3
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1, 32, 256, 1408, 6144, 22976, 76800, 235264, 671744, 1809568, 4640256, 11404416, 27009024, 61905088, 137803776, 298806528, 632684544, 1310891584, 2662655232, 5310231424, 10412576768, 20098970624, 38231811072, 71734039808
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OFFSET
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0,2
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REFERENCES
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H. Cohn, Introduction to the construction of class fields, Cambridge 1985, p. 191
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LINKS
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Table of n, a(n) for n=0..23.
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FORMULA
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G.f. A(x) satisfies 0=f(A(x), A(x^2)) where f(u, v)= (u+3)^2 -8*(u+1)*v^2.
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PROG
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(PARI) a(n)=local(A); if(n<1, n==0, A=x^n*O(x); 32*polcoeff( x*(eta(x^4+A)/eta(x+A))^8, n))
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CROSSREFS
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a(n)=32*A092877(n), if n>0. a(n)=A007906(4n).
Sequence in context: A066392 A159982 A195592 * A022327 A189651 A145711
Adjacent sequences: A097240 A097241 A097242 * A097244 A097245 A097246
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KEYWORD
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nonn
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AUTHOR
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Michael Somos, Aug 02 2004
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STATUS
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approved
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