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A035081 Number of increasing asymmetric rooted connected graphs where every block is a complete graph. 4
1, 1, 1, 7, 27, 167, 1451, 12672, 133356, 1573608, 20731512, 299642958, 4732486932, 81201040470, 1500094187292, 29730606352920, 628968809015766, 14147458062941100, 337143091156288002, 8485143902146640124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

In an increasing rooted graph nodes are numbered and numbers increase as you move away from root.

LINKS

Andrew Howroyd, Table of n, a(n) for n = 1..100

C. G. Bower, Transforms (2)

FORMULA

Shifts left when EGJ transform applied twice.

PROG

(PARI) EGJ(v)={Vec(serlaplace(prod(k=1, #v, (1 + x^k/k! + O(x*x^#v))^v[k]))-1, -#v)}

seq(n)={my(v=[1]); for(n=2, n, v=concat([1], EGJ(EGJ(v)))); v} \\ Andrew Howroyd, Sep 11 2018

CROSSREFS

Cf. A007549, A007561, A035079, A035080.

Sequence in context: A151496 A202519 A192250 * A193257 A173193 A196323

Adjacent sequences:  A035078 A035079 A035080 * A035082 A035083 A035084

KEYWORD

nonn,eigen

AUTHOR

Christian G. Bower, Nov 15 1998

STATUS

approved

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Last modified December 5 17:42 EST 2019. Contains 329768 sequences. (Running on oeis4.)