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A036407
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a(n) = ceiling(n^2/9).
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2
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0, 1, 1, 1, 2, 3, 4, 6, 8, 9, 12, 14, 16, 19, 22, 25, 29, 33, 36, 41, 45, 49, 54, 59, 64, 70, 76, 81, 88, 94, 100, 107, 114, 121, 129, 137, 144, 153, 161, 169, 178, 187, 196, 206, 216, 225, 236, 246, 256, 267, 278, 289, 301, 313, 324, 337, 349
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OFFSET
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0,5
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (2,-1,0,0,0,0,0,0,1,-2,1).
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FORMULA
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a(n) = 2*a(n-1) - a(n-2) + a(n-9) - 2*a(n-10) + a(n-11).
G.f.: -x*(1+x)*(x^8 - 2*x^7 + 2*x^6 - x^5 + x^4 - x^3 + 2*x^2 - 2*x + 1) / ( (1+x+x^2)*(x^6+x^3+1)*(x-1)^3 ). (End)
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MAPLE
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MATHEMATICA
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LinearRecurrence[{2, -1, 0, 0, 0, 0, 0, 0, 1, -2, 1}, {0, 1, 1, 1, 2, 3, 4, 6, 8, 9, 12}, 60] (* Harvey P. Dale, Nov 02 2020 *)
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PROG
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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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