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A035353 Number of asymmetric rooted polygonal cacti with bridges (mixed Husimi trees). 4
0, 1, 1, 1, 3, 7, 22, 67, 215, 692, 2283, 7599, 25631, 87211, 299386, 1035059, 3602083, 12606318, 44344764, 156698081, 555989604, 1980050697, 7075365521, 25360341963, 91155701023, 328500571740, 1186656421109, 4296084607302 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..200

C. G. Bower, Transforms (2)

N. J. A. Sloane, Transforms

Index entries for sequences related to cacti

Index entries for sequences related to rooted trees

Index entries for sequences related to trees

FORMULA

Shifts left under transform T where Ta = WEIGH(BHK(a)).

PROG

(PARI)

BHK(p)={p + (1/(1-p) - (1+p)/subst(1-p, x, x^2))/2}

WeighT(v)={Vec(exp(x*Ser(dirmul(v, vector(#v, n, (-1)^(n-1)/n))))-1, -#v)}

seq(n)={my(v=[0]); for(n=1, n, v=concat([0, 1], WeighT(Vec(BHK(Ser(v)))))); v} \\ Andrew Howroyd, Aug 30 2018

CROSSREFS

Cf. A000083, A000237, A000314, A035082, A035349-A035357.

Sequence in context: A148683 A148684 A148685 * A242566 A148686 A148687

Adjacent sequences:  A035350 A035351 A035352 * A035354 A035355 A035356

KEYWORD

nonn,eigen

AUTHOR

Christian G. Bower, Nov 15 1998

STATUS

approved

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Last modified November 11 15:51 EST 2019. Contains 329019 sequences. (Running on oeis4.)