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 A131313 Number of labeled 4-arch graphs on n nodes. 0
 0, 0, 0, 1, 1, 15, 1085, 216230, 92550276, 74358276300, 102660061574400, 228311514581611725, 777903709095959606875, 3900045557544532389044051, 27829438251904221299882526375, 274842860343937013061411903607000, 3668195394384971166861021308091920000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,6 LINKS Saverio Caminiti and Emanuele G. Fusco, On the Number of Labeled k-arch Graphs, Journal of Integer Sequences, Vol 10 (2007), Article 07.7.5 FORMULA The number of labeled 4-arch graphs with n>5 nodes is given by f(n,4,n-4-1,0,4) where f is the recursive function described by the PARI/GP code below. PROG (PARI) f(n, k, i, u, j)={ local(s=0); if (i==1, binomial(n-u, j)*binomial(u, k-j), for (c=0, min(k, n-(i-1)-(u+j)), s+=f(n, k, i-1, u+j, c) ); binomial(n-u, j)*binomial(u, k-j)*s ) } CROSSREFS Cf. A098721-A098724, A131311-A131315. Sequence in context: A206162 A203409 A207980 * A208346 A236329 A129764 Adjacent sequences:  A131310 A131311 A131312 * A131314 A131315 A131316 KEYWORD nonn AUTHOR Saverio Caminiti and Emanuele G. Fusco (fusco(AT)di.uniroma1.it), Sep 18 2007 EXTENSIONS Edited by N. J. A. Sloane, Oct 02 2007 Terms a(11) and beyond from Andrew Howroyd, Nov 07 2019 STATUS approved

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Last modified August 8 18:58 EDT 2022. Contains 356016 sequences. (Running on oeis4.)