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A108642
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a(n) = (72 - 258*n + 601*n^2 - 264*n^3 + 33*n^4)/4.
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1
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18, 46, 94, 63, 52, 358, 1476, 4099, 9118, 17622, 30898, 50431, 77904, 115198, 164392, 227763, 307786, 407134, 528678, 675487, 850828, 1058166, 1301164, 1583683, 1909782, 2283718, 2709946, 3193119, 3738088, 4349902, 5033808, 5795251, 6639874, 7573518
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: (18 - 44*x + 44*x^2 - 127*x^3 + 307*x^4)/(1-x)^5.
E.g.f.: (1/4)*(72 + 112*x + 40*x^2 - 66*x^3 + 33*x^4)*exp(x). (End)
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MATHEMATICA
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LinearRecurrence[{5, -10, 10, -5, 1}, {18, 46, 94, 63, 52}, 41] (* G. C. Greubel, Oct 18 2023 *)
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PROG
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(Magma) [(72-258*n+601*n^2-264*n^3+33*n^4)/4: n in [0..40]]; // G. C. Greubel, Oct 18 2023
(SageMath) [(72-258*n+601*n^2-264*n^3+33*n^4)/4 for n in range(41)] # G. C. Greubel, Oct 18 2023
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CROSSREFS
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KEYWORD
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nonn,less
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AUTHOR
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Hans en Els Verdonk, (hverdonk32(AT)zonnet.nl), Jul 07 2005
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STATUS
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approved
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