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A303227 Number of minimal total dominating sets in the n-triangular (Johnson) graph. 3
1, 1, 0, 3, 12, 80, 840, 4032, 31976, 371016, 4354650, 55066880, 680003412, 9047989392, 132626606294, 2096065474440, 34991505975120, 607163217989312, 11006996786618994, 209218563659672064, 4168806234781798100, 86745911047924139760, 1876774293382882814382 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..22.

Eric Weisstein's World of Mathematics, Johnson Graph

Eric Weisstein's World of Mathematics, Total Dominating Set

Eric Weisstein's World of Mathematics, Triangular Graph

FORMULA

E.g.f.: exp(x^3/2) + x*exp(x*exp(x^2+x) - (x+x^2+x^3+x^4/2)). - Andrew Howroyd, Apr 21 2018

MATHEMATICA

Range[0, 20]! CoefficientList[Series[Exp[x^3/2] + x Exp[x Exp[x^2 + x] - (x + x^2 + x^3 + x^4/2)], {x, 0, 20}], x] (* Eric W. Weisstein, Apr 23 2018 *)

PROG

(PARI) seq(n)={Vec(serlaplace(exp(x^3/2 + O(x*x^n)) + x*exp(x*exp(x^2+x + O(x^n)) - (x+x^2+x^3+x^4/2))))} \\ Andrew Howroyd, Apr 21 2018

CROSSREFS

Cf. A290716, A303048.

Sequence in context: A323634 A275488 A304561 * A182166 A303047 A197445

Adjacent sequences:  A303224 A303225 A303226 * A303228 A303229 A303230

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Apr 20 2018

EXTENSIONS

a(0)-a(1) prepended and a(8)-a(22) from Andrew Howroyd, Apr 21 2018

STATUS

approved

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Last modified October 22 10:20 EDT 2019. Contains 328317 sequences. (Running on oeis4.)