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A173785
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Expansion of 2*(1 -4*x +14*x^2 +4*x^3 +9*x^4)/(1-x)^5.
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1
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2, 2, 18, 98, 338, 882, 1922, 3698, 6498, 10658, 16562, 24642, 35378, 49298, 66978, 89042, 116162, 149058, 188498, 235298, 290322, 354482, 428738, 514098, 611618, 722402, 847602, 988418, 1146098, 1321938, 1517282, 1733522, 1972098, 2234498
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OFFSET
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0,1
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REFERENCES
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Clark Kimberling, Complementary Equations, Journal of Integer Sequences, Vol. 10 (2007), Article 07.1.4.
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LINKS
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FORMULA
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G.f.: 2*(1 -4*x +14*x^2 +4*x^3 +9*x^4)/(1-x)^5.
a(n) = 2*(n^2 - n + 1)^2.
E.g.f.: 2*(1 + 4*x^2 + 4*x^3 + x^4)*exp(x). - G. C. Greubel, Jul 07 2021
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MAPLE
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a:= n-> 2*(n^2-n+1)^2:
seq (a(n), n=0..40);
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MATHEMATICA
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Table[2*(1-n+n^2)^2, {n, 0, 40}] (* G. C. Greubel, Jul 07 2021 *)
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PROG
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(Sage) [2*(1-n+n^2)^2 for n in (0..40)] # G. C. Greubel, Jul 07 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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EXTENSIONS
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STATUS
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approved
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