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A192974
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Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.
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2
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0, 1, 4, 14, 37, 84, 172, 329, 600, 1058, 1821, 3080, 5144, 8513, 13996, 22902, 37349, 60764, 98692, 160105, 259520, 420426, 680829, 1102224, 1784112, 2887489, 4672852, 7561694, 12236005, 19799268, 32036956, 51838025, 83876904, 135716978
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OFFSET
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0,3
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COMMENTS
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The titular polynomials are defined recursively: p(n,x)=x*p(n-1,x)+1+2*n^2, with p(0,x)=1. For an introduction to reductions of polynomials by substitutions such as x^2->x+1, see A192232 and A192744.
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LINKS
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Table of n, a(n) for n=0..33.
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FORMULA
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a(n)=4*a(n-1)-5*a(n-2)+a(n-3)+2*a(n-4)-a(n-5).
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MATHEMATICA
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(See A192973.)
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CROSSREFS
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Cf. A192232, A192744, A192951, A192971.
Sequence in context: A027166 A126943 A209399 * A187428 A036368 A006071
Adjacent sequences: A192971 A192972 A192973 * A192975 A192976 A192977
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling, Jul 13 2011
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STATUS
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approved
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