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A145467
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Convolution square of A003114.
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1
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1, 2, 3, 4, 7, 10, 15, 20, 28, 38, 52, 68, 91, 118, 153, 196, 252, 318, 403, 504, 632, 784, 973, 1196, 1473, 1800, 2198, 2668, 3238, 3908, 4714, 5660, 6789, 8112, 9683, 11516, 13685, 16210, 19178, 22628, 26671, 31354, 36821, 43140, 50489, 58968, 68796
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| Expansion of G(x)^2 in powers of x where G() is a Rogers-Ramanujan function.
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EXAMPLE
| 1/q + 2*q^29 + 3*q^59 + 4*q^89 + 7*q^119 + 10*q^149 + 15*q^179 + ...
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PROG
| (PARI) {a(n) = local(t); if( n<0, 0, t = 1 + x * O(x^n); polcoeff( sum(k=1, sqrtint(n), t *= x^(2*k - 1) / (1 - x^k) * (1 + x * O(x^(n - k^2))), 1)^2, n))}
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CROSSREFS
| A145466(5*n) = a(n).
Sequence in context: A056513 A056518 A160644 * A039841 A078159 A129490
Adjacent sequences: A145464 A145465 A145466 * A145468 A145469 A145470
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KEYWORD
| nonn
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AUTHOR
| Michael Somos, Oct 11 2008
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