A328921 Triangle read by rows: T(n,k) = number of vertex labeled connected Goldstone diagrams with n interactions and k external potentials.

1, 2, 1, 20, 8, 1, 592, 240, 36, 2, 33888, 14208, 2400, 192, 6, 3134208, 1355520, 248640, 24000, 1200, 24, 423974400, 188052480, 36599040, 3978240, 252000, 8640, 120, 78722795520, 35613849600, 7240020480, 853977600, 62657280, 2822400, 70560, 720, 19193652817920, 8816953098240, 1851920179200

Offset

0,2

Links

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

R. J. Mathar, Maple program computing A328921 - A328924.

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

Formula

T(n,k) + A328922(n,k) = A328826(n,k).

Example

          1;
          2           1;
         20           8           1;
        592         240          36           2;
      33888       14208        2400         192           6;
    3134208     1355520      248640       24000        1200          24;

Crossrefs

Cf. A328922, A328923, A328924.

Sequence in context: A317996 A066753 A103244 * A185169 A353914 A353873

Adjacent sequences: A328918 A328919 A328920 * A328922 A328923 A328924

Keyword

nonn,tabl

Author

R. J. Mathar, Oct 31 2019

Status

approved