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%I #4 Oct 31 2019 07:56:36
%S 1,2,1,6,4,1,76,60,18,2,2124,1776,600,96,6,97968,84720,31080,6000,600,
%T 24,6624720,5876640,2287440,497280,63000,4320,120,615022560,556466400,
%U 226250640,53373600,7832160,705600,35280,720,74975211360,68882446080,28936252800,7240020480
%N Triangle T(n,k) read by rows: connected topologies of Goldstone diagrams with n interactions and k external potentials.
%H P. J. Rossky, M. Karplus, <a href="https://doi.org/10.1063/1.432387">The enumeration of Goldstone diagrams in many-body perturbation theory</a>, J. Chem. Phys. 64 (1976) 1569, T(n,k)
%F T(n,0) = A328921(n,0) / 2^n +(n-1)! .
%F T(n,k) = 2^(k-n)*A328921(n,k), k>0 .
%e 1;
%e 2 1;
%e 6 4 1;
%e 76 60 18 2;
%e 2124 1776 600 96 6;
%e 97968 84720 31080 6000 600 24;
%e 6624720 5876640 2287440 497280 63000 4320 120;
%Y Cf. A328921-A328924
%K nonn,tabl
%O 0,2
%A _R. J. Mathar_, Oct 31 2019
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