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A288343
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Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*...*(1-x^8)).
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6
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1, 2, 4, 7, 12, 19, 30, 45, 67, 96, 136, 188, 258, 347, 463, 609, 795, 1025, 1313, 1665, 2099, 2624, 3262, 4026, 4945, 6035, 7332, 8859, 10660, 12764, 15226, 18083, 21402, 25230, 29647, 34713, 40525, 47155, 54719, 63307, 73056, 84074, 96524, 110536, 126301
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OFFSET
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0,2
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COMMENTS
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Number of partitions of at most n into at most 8 parts.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (2, 0, -1, 0, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -2, 0, -1, 1, 0, 2, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 0, 1, 0, -2, 1).
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MATHEMATICA
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CoefficientList[Series[1/((1-x)Times@@(1-x^Range[8])), {x, 0, 50}], x] (* Harvey P. Dale, Dec 06 2017 *)
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PROG
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(PARI) x='x+O('x^99); Vec(1/((1-x)*prod(i=1, 8, (1-x^i)))) \\ Altug Alkan, Mar 28 2018
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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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