A328922 Triangle T(n,k): vertex labeled disconnected Goldstone diagrams with n interactions and k external potentials.

0, 0, 0, 4, 4, 1, 128, 120, 36, 4, 6432, 5952, 1920, 288, 18, 494592, 458880, 154560, 26400, 2400, 96, 55027200, 51448320, 17832960, 3279360, 352800, 21600, 600, 8455495680, 7975296000, 2819013120, 543110400, 64350720, 4798080, 211680, 4320, 1729137070080, 1644441845760, 589071974400

Offset

0,4

Links

Table of n, a(n) for n=0..38.

P. J. Rossky and M. Karplus, The enumeration of Goldstone diagrams in many-body perturbation theory, J. Chem. Phys. 64 (1976) 1569, D(n,k)

Formula

T(n,k) + A328921(n,k) = A328826(n,k).

Example

         0;
         0          0;
         4          4          1;
       128        120         36          4;
      6432       5952       1920        288         18;
    494592     458880     154560      26400       2400         96;
  55027200   51448320   17832960    3279360     352800      21600        600;
8455495680 ...

Crossrefs

Cf. A328826, A328921, A328923, A328924.

Sequence in context: A120396 A141024 A173210 * A058888 A194678 A153015

Adjacent sequences: A328919 A328920 A328921 * A328923 A328924 A328925

Keyword

nonn,tabl

Author

R. J. Mathar, Oct 31 2019

Status

approved