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A328923
Triangle T(n,k) read by rows: connected topologies of Goldstone diagrams with n interactions and k external potentials.
3
1, 2, 1, 6, 4, 1, 76, 60, 18, 2, 2124, 1776, 600, 96, 6, 97968, 84720, 31080, 6000, 600, 24, 6624720, 5876640, 2287440, 497280, 63000, 4320, 120, 615022560, 556466400, 226250640, 53373600, 7832160, 705600, 35280, 720, 74975211360, 68882446080, 28936252800, 7240020480
OFFSET
0,2
LINKS
P. J. Rossky, M. Karplus, The enumeration of Goldstone diagrams in many-body perturbation theory, J. Chem. Phys. 64 (1976) 1569, T(n,k)
FORMULA
T(n,0) = A328921(n,0) / 2^n +(n-1)! .
T(n,k) = 2^(k-n)*A328921(n,k), k>0 .
EXAMPLE
1;
2 1;
6 4 1;
76 60 18 2;
2124 1776 600 96 6;
97968 84720 31080 6000 600 24;
6624720 5876640 2287440 497280 63000 4320 120;
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
R. J. Mathar, Oct 31 2019
STATUS
approved