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A166076
Expansion of (7+5x-sqrt(1-10x-7x^2))/(2(3+5x+2x^2)).
2
1, 0, 2, 10, 70, 530, 4278, 36050, 313558, 2793970, 25374262, 234016530, 2185799958, 20634634930, 196569384566, 1887215137490, 18242042039894, 177383206638450, 1733967807665334, 17029818475966610, 167961197068279190
OFFSET
0,3
COMMENTS
First column of inverse of Riordan array ((1+x)/(1+x+2x^2),x(1-2x)/(1+x+2x^2)).
Hankel transform is A166077.
LINKS
FORMULA
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
MATHEMATICA
CoefficientList[Series[(7+5x-Sqrt[1-10x-7x^2])/(2(3+5x+2x^2)), {x, 0, 30}], x] (* Harvey P. Dale, Nov 26 2011 *)
CROSSREFS
Sequence in context: A051575 A372940 A121201 * A354307 A217938 A333902
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Oct 06 2009
STATUS
approved