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A029193
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Expansion of 1/((1-x^2)(1-x^5)(1-x^6)(1-x^7)).
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0
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1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 4, 6, 5, 7, 7, 9, 9, 11, 11, 13, 13, 16, 16, 19, 19, 22, 22, 26, 26, 30, 30, 34, 35, 39, 40, 44, 45, 50, 51, 57, 57, 63, 64, 70, 72, 78, 80, 86, 88, 95, 97, 105, 107, 115, 117, 125, 128
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OFFSET
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0,7
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,1,0,0,1,1,0,-1,-1,0,-1,-1,0,1,1,0,0,1,0,-1).
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FORMULA
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a(n) = a(n-2)+a(n-5)+a(n-6)-a(n-8)-a(n-9)-a(n-11)-a(n-12)+a(n-14)+a(n-15)+a(n-18)-a(n-20). - Wesley Ivan Hurt, Apr 23 2021
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MATHEMATICA
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CoefficientList[Series[1/((1-x^2)(1-x^5)(1-x^6)(1-x^7)), {x, 0, 100}], x] (* Jinyuan Wang, Mar 15 2020 *)
LinearRecurrence[{0, 1, 0, 0, 1, 1, 0, -1, -1, 0, -1, -1, 0, 1, 1, 0, 0, 1, 0, -1}, {1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 3, 3, 5, 4, 6, 5, 7, 7, 9, 9}, 80] (* Harvey P. Dale, Nov 18 2021 *)
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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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