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 A192747 Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments. 2
 0, 1, 6, 15, 32, 61, 110, 191, 324, 541, 894, 1467, 2396, 3901, 6338, 10283, 16668, 27001, 43722, 70779, 114560, 185401, 300026, 485495, 785592, 1271161, 2056830, 3328071, 5384984, 8713141, 14098214, 22811447, 36909756, 59721301, 96631158 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS The titular polynomial is defined recursively by p(n,x)=x*(n-1,x)+3n+1 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=1..35. FORMULA Conjecture: G.f.: x^2*(-1-3*x+x^2) / ( (x^2+x-1)*(x-1)^2 ), so the first differences are in A192746. - R. J. Mathar, May 04 2014 MATHEMATICA (See A192746.) CROSSREFS Cf. A192744, A192232, A192746. Sequence in context: A273427 A273764 A273853 * A231264 A121666 A186829 Adjacent sequences: A192744 A192745 A192746 * A192748 A192749 A192750 KEYWORD nonn AUTHOR Clark Kimberling, Jul 09 2011 STATUS approved

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Last modified February 21 09:24 EST 2024. Contains 370228 sequences. (Running on oeis4.)