proposed

approved

editing

proposed

Andrew Howroyd, <a href="/A032066/b032066.txt">Table of n, a(n) for n = 1..200</a>

(PARI)

BGK(v)={apply(p->subst(serlaplace(y^0*p + polcoeff(p, 1)), y, 1)/2, Vec(prod(k=1, #v, (1 + x^k*y + O(x*x^#v))^v[k])-1, -#v))}

CGK(v)={apply(p->subst(serlaplace(p/y), y, 1), Vec(prod(k=1, #v, (1 + x^k*y + O(x*x^#v))^v[k])-1, -#v))}

seq(n)={my(v=[1]); for(i=3, n, v=concat([1], BGK(v))); concat([1], CGK(v))} \\ Andrew Howroyd, Sep 20 2018

approved

editing

_Christian G. Bower (bowerc(AT)usa.net)_

<a href="/Sindx_index/Ro.html#rooted">Index entries for sequences related to rooted trees</a>

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

<a href="/Sindx_Ro.html#rooted">Index entries for sequences related to rooted trees</a>

nonn,new

nonn

C. G. Bower, <a href="http://www.research.att.com/~njas/sequences/transforms2.html">Transforms (2)</a>

<a href="http://www.research.att.com/~njas/sequences/Sindx_Ro.html#rooted">Index entries for sequences related to rooted trees</a>

nonn,new

nonn

Dyslexic Number of dyslexic rooted planar trees of with n nodes where any 2 subtrees extending from the same node are different.

nonn,new

nonn

C. G. Bower, <a href="http://www.research.att.com/~njas/sequences/Sindx_Rtransforms2.html#rooted">Index entries for sequences related to rooted treesTransforms (2)</a>

<a href="http://www.research.att.com/~njas/sequences/transforms2Sindx_Ro.html#rooted">Transforms (2)Index entries for sequences related to rooted trees</a>

nonn,new

nonn

Christian G. Bower (bowerc@(AT)usa.net)

Dyslexic rooted planar trees of n nodes where any 2 subtrees extending from the same node are different.

1, 1, 1, 2, 3, 6, 13, 29, 65, 151, 365, 887, 2185, 5426, 13636, 34529, 88017, 225621, 581461, 1505490, 3913987, 10214576, 26748565, 70263410, 185089117, 488842459, 1294194744, 3433966729, 9130325683, 24322504467

1,4

<a href="http://www.research.att.com/~njas/sequences/Sindx_R.html#rooted">Index entries for sequences related to rooted trees</a>

<a href="http://www.research.att.com/~njas/sequences/transforms2.html">Transforms (2)</a>

"CGK" (necklace, elements, unlabeled) transform of A032065 (shifted right one place).

nonn

Christian G. Bower (bowerc@usa.net)

approved