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A120006
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Expansion of ((eta(q^2)eta(q^14))/(eta(q)eta(q^7)))^3 in powers of q.
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0
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1, 3, 6, 13, 24, 42, 73, 123, 201, 320, 504, 774, 1172, 1755, 2592, 3789, 5478, 7851, 11146, 15696, 21942, 30456, 42000, 57546, 78403, 106212, 143124, 191925, 256146, 340320, 450204, 593163, 778416, 1017698, 1325784, 1721157, 2227050, 2872422
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| Euler transform of period 14 sequence [ 3, 0, 3, 0, 3, 0, 6, 0, 3, 0, 3, 0, 3, 0, ...].
G.f. A(x) satisfies 0=f(A(x),A(x^2)) where f(u,v)= u^2 - v - 6*u*v - 8*u*v^2.
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PROG
| (PARI) {a(n)=local(A); if(n<1, 0, n--; A=x*O(x^n); polcoeff( (eta(x^2+A)*eta(x^14+A)/ eta(x+A)/eta(x^7+A))^3, n))}
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CROSSREFS
| Sequence in context: A058554 A128517 A022568 * A061567 A018081 A001452
Adjacent sequences: A120003 A120004 A120005 * A120007 A120008 A120009
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KEYWORD
| nonn
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AUTHOR
| Michael Somos, Jun 02 2006
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