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A192974 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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.

LINKS

Table of n, a(n) for n=0..33.

FORMULA

a(n)=4*a(n-1)-5*a(n-2)+a(n-3)+2*a(n-4)-a(n-5).

MATHEMATICA

(See A192973.)

CROSSREFS

Cf. A192232, A192744, A192951, A192971.

Sequence in context: A027166 A126943 A209399 * A187428 A036368 A006071

Adjacent sequences:  A192971 A192972 A192973 * A192975 A192976 A192977

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jul 13 2011

STATUS

approved

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Last modified April 23 13:26 EDT 2014. Contains 240928 sequences.