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"BFK" (reversible, size, unlabeled) transform of 2,1,1,1...
1

%I #8 Jun 21 2018 17:03:07

%S 1,2,1,3,3,4,10,11,17,21,51,55,88,116,161,312,381,544,748,1055,1331,

%T 2493,2925,4279,5626,7916,10187,13872,22179,27568,38062,50687,68345,

%U 89337,120063,151999,237592,289136,396905,512496,693993

%N "BFK" (reversible, size, unlabeled) transform of 2,1,1,1...

%H Andrew Howroyd, <a href="/A032044/b032044.txt">Table of n, a(n) for n = 0..1000</a>

%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>

%o (PARI) seq(n)={apply(p->subst(serlaplace(p + polcoeff(p,1)), y, 1)/2, Vec(y-1 + (1+2*x*y)*prod(k=2, n, 1 + x^k*y + O(x*x^n))))} \\ _Andrew Howroyd_, Jun 21 2018

%K nonn

%O 0,2

%A _Christian G. Bower_

%E a(0)=1 prepended by _Andrew Howroyd_, Jun 21 2018