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A287031 Column 1 of A286782. 1

%I #9 May 20 2017 21:54:16

%S 3,45,637,9567,156123,2781389,54043365,1141864959,26137086451,

%T 645573913005,17138071687053,487130581207775,14771502665168715,

%U 476244289169954253,16274079501768450421,587711952558035789055,22370368544174736836835,895269564785985107345453,37585737112233443277746589

%N Column 1 of A286782.

%H Gheorghe Coserea, <a href="/A287031/b287031.txt">Table of n, a(n) for n = 2..211</a>

%F a(n) = (2*n-1)*A286786(n-1).

%o (PARI)

%o A286781_ser(N, t='t) = {

%o my(x='x+O('x^N), y0=1+O('x^N), y1=0, n=1);

%o while(n++,

%o y1 = (1 + x*y0 + 2*x^2*y0')*(1 - x*y0*(1-t))/(1-x*y0)^2;

%o if (y1 == y0, break()); y0 = y1; );

%o y0;

%o };

%o A286782_ser(N, t='t) = my(s=A286781_ser(N, t)); 1 + x*s + 2*x^2 * deriv(s,'x);

%o Kol(K, N=20) = {

%o my(v = A286782_ser(N+K+1, 't+O('t^(K+1))));

%o vector(N, n, polcoeff(polcoeff(v, K+n), K));

%o };

%o Kol(1)

%Y Cf. A286782.

%K nonn

%O 2,1

%A _Gheorghe Coserea_, May 18 2017

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Last modified April 23 18:16 EDT 2024. Contains 371916 sequences. (Running on oeis4.)