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A032048 Number of dyslexic rooted planar trees with n nodes where any 2 subtrees extending from a node are of different sizes. 1
1, 1, 1, 2, 3, 6, 13, 29, 64, 148, 355, 857, 2100, 5198, 12960, 32701, 82826, 211352, 541832, 1397654, 3614607, 9402256, 24500619, 64134061, 168178732, 442710004, 1166705391, 3085691999, 8168951368, 21689446136 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..200

C. G. Bower, Transforms (2)

Index entries for sequences related to rooted trees

FORMULA

"CFK" (necklace, size, unlabeled) transform of A032047 (shifted right one place).

PROG

(PARI)

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

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

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

CROSSREFS

Cf. A032047.

Sequence in context: A000646 A316770 A197463 * A287128 A286062 A219226

Adjacent sequences:  A032045 A032046 A032047 * A032049 A032050 A032051

KEYWORD

nonn

AUTHOR

Christian G. Bower

STATUS

approved

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Last modified October 15 19:24 EDT 2018. Contains 316237 sequences. (Running on oeis4.)