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 A192753 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments. 3
 0, 1, 8, 20, 43, 82, 148, 257, 436, 728, 1203, 1974, 3224, 5249, 8528, 13836, 22427, 36330, 58828, 95233, 154140, 249456, 403683, 653230, 1057008, 1710337, 2767448, 4477892, 7245451, 11723458, 18969028, 30692609, 49661764, 80354504, 130016403 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The titular polynomial is defined recursively by p(n,x)=x*(n-1,x)+4n+3 for n>0, where p(0,x)=1. For discussions of polynomial reduction, see A192232 and A192744. LINKS Table of n, a(n) for n=0..34. FORMULA Conjecture: G.f.: x*(-1-5*x+2*x^2) / ( (x^2+x-1)*(x-1)^2 ), with first differences in A192752. - R. J. Mathar, May 04 2014 MATHEMATICA (See A192752.) CROSSREFS Cf. A192232, A192744, A192753. Sequence in context: A273175 A318071 A308904 * A121307 A338471 A086169 Adjacent sequences: A192750 A192751 A192752 * A192754 A192755 A192756 KEYWORD nonn AUTHOR Clark Kimberling, Jul 09 2011 STATUS approved

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Last modified May 31 15:43 EDT 2023. Contains 363068 sequences. (Running on oeis4.)