A192872 -id:A192872 - cp's OEIS frontend

A192925 Coefficient of x in the reduction by (x^2->x+1) of the polynomial p(n,x) defined below at Comments.

0, 1, 3, 11, 51, 281, 1808, 13333, 111041, 1031758, 10588015, 118985914, 1453708722, 19189390169, 272212629009, 4130239145929, 66751752077187, 1144920631189237, 20772556460037154, 397492611715916267, 8000930139415926955

Offset: 0

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Clark Kimberling, Jul 12 2011

nonn

The titular polynomial is defined by p(n,x)=n*p(n-1,x)+(x^2)*p(n-2,x), with p(0,x)=1, p(1,x)=x. For discussions of polynomial reduction, see A192232, A192744, and A192872.

Cf. A192232, A192744, A192924.

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(See A192924.)
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cp's OEIS Frontend

A192925 Coefficient of x in the reduction by (x^2->x+1) of the polynomial p(n,x) defined below at Comments.

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