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A166076 Expansion of (7+5x-sqrt(1-10x-7x^2))/(2(3+5x+2x^2)). 2

%I #11 Apr 24 2016 22:27:30

%S 1,0,2,10,70,530,4278,36050,313558,2793970,25374262,234016530,

%T 2185799958,20634634930,196569384566,1887215137490,18242042039894,

%U 177383206638450,1733967807665334,17029818475966610,167961197068279190

%N Expansion of (7+5x-sqrt(1-10x-7x^2))/(2(3+5x+2x^2)).

%C First column of inverse of Riordan array ((1+x)/(1+x+2x^2),x(1-2x)/(1+x+2x^2)).

%C Hankel transform is A166077.

%H G. C. Greubel, <a href="/A166076/b166076.txt">Table of n, a(n) for n = 0..500</a>

%F Conjecture: 3*(n)*a(n) +5*(-5*n+9)*a(n-1) +69*(-n+2)*a(n-2) +5*(-11*n+27)*a(n-3) +14*(-n+3)*a(n-4)=0. - _R. J. Mathar_, Feb 10 2015

%t CoefficientList[Series[(7+5x-Sqrt[1-10x-7x^2])/(2(3+5x+2x^2)),{x,0,30}], x] (* _Harvey P. Dale_, Nov 26 2011 *)

%K easy,nonn

%O 0,3

%A _Paul Barry_, Oct 06 2009

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Last modified March 3 11:25 EST 2024. Contains 370511 sequences. (Running on oeis4.)