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A069251
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Number of basis partitions of n+64 with Durfee square size 8.
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2
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1, 2, 4, 8, 14, 24, 40, 64, 100, 152, 226, 330, 474, 670, 934, 1286, 1748, 2350, 3128, 4122, 5384, 6974, 8960, 11426, 14468, 18196, 22740, 28248, 34888, 42854, 52366, 63670, 77048, 92816, 111324, 132970, 158194, 187482, 221380, 260488, 305466
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: (x^4 -x^3 +x^2 -x +1)*(x^4 -x^2 +1)*(x^6 -x^5 +x^4 -x^3 +x^2 -x +1)*(x^8 +1)/((x -1)^8*(x^2 +x +1)^2*(x^4 +x^3 +x^2 +x +1)*(x^6 +x^5 +x^4 +x^3 +x^2 +x +1)). [Colin Barker, Sep 23 2012]
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PROG
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(PARI) s=8; a(n)=polcoeff(prod(i=1, s, (1+x^i))/(prod(i=1, s, (1-x^i))+x*O(x^n)), n) for(n=0, 50, print1(a(n), ", "))
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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