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A347868
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Number of partitions of n such that 4*(greatest part) >= (number of parts).
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2
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1, 2, 3, 5, 6, 10, 14, 21, 29, 40, 53, 73, 96, 129, 168, 221, 284, 369, 471, 603, 763, 966, 1211, 1521, 1892, 2355, 2912, 3600, 4423, 5434, 6639, 8107, 9855, 11968, 14476, 17495, 21067, 25342, 30393, 36406, 43489, 51891, 61761, 73421, 87087, 103172, 121977, 144045, 169780, 199883
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OFFSET
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1,2
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COMMENTS
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Also, the number of partitions of n such that (greatest part) <= 4*(number of parts).
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LINKS
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FORMULA
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G.f.: Sum_{k>=1} x^k * Product_{j=1..k} (1-x^(4*k+j-1)/(1-x^j).
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PROG
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(PARI) my(N=66, x='x+O('x^N)); Vec(sum(k=1, N, x^k*prod(j=1, k, (1-x^(4*k+j-1))/(1-x^j))))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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