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A055104
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Expansion of 1 + q/((1-q)*(1-q^2)) + q^2/((1-q)*(1-q^2)*(1-q^3)*(1-q^4)).
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2
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1, 1, 2, 3, 4, 6, 8, 10, 13, 16, 20, 24, 29, 34, 41, 47, 55, 63, 73, 82, 94, 105, 119, 132, 148, 163, 182, 199, 220, 240, 264, 286, 313, 338, 368, 396, 429, 460, 497, 531, 571, 609, 653, 694, 742, 787, 839, 888, 944, 997, 1058, 1115, 1180, 1242
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OFFSET
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0,3
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COMMENTS
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First 3 terms of a sum studied by Ramanujan.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,1,0,0,-2,0,0,1,1,-1).
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MATHEMATICA
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LinearRecurrence[{1, 1, 0, 0, -2, 0, 0, 1, 1, -1}, {1, 1, 2, 3, 4, 6, 8, 10, 13, 16, 20}, 60] (* Harvey P. Dale, Mar 11 2019 *)
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PROG
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(PARI) Vec((1 - x^4 + x^5 - x^9 + x^10) / ((1 - x)^4*(1 + x)^2*(1 + x^2)*(1 + x + x^2)) + O(x^100)) \\ Colin Barker, Oct 02 2017
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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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