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A086611 Row sums of triangle of coefficients (A086610) where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1-x-x^2)/(1-x)^2 + xy*f(x,y)^2. 1

%I #3 Mar 30 2012 18:36:38

%S 1,2,4,11,36,129,486,1892,7546,30675,126642,529600,2238782,9551583,

%T 41075698,177865921,774875488,3393896499,14936139018,66014016044,

%U 292892796930,1304062558529,5824639004518,26091657768331

%N Row sums of triangle of coefficients (A086610) where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = (1-x-x^2)/(1-x)^2 + xy*f(x,y)^2.

%F G.f.: A(x) = (1-x-x^2)/(1-x)^2 + x*A(x)^2.

%e a(3)=-1+1+6+5=11, a(4)=-2-2+6+20+14=36, a(5)=-3-6-4+30+70+42=129.

%Y Cf. A086610 (triangle), A086632.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Jul 24 2003

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Last modified August 17 09:16 EDT 2024. Contains 375209 sequences. (Running on oeis4.)