A172806 Number of n X n of nonnegative integers with all row and column sums equal to 4.

1, 1, 5, 120, 10147, 2224955, 1047649905, 936670590450, 1455918295922650, 3680232136895819610, 14356628851597700179050, 82857993930808028192521800, 683327637694741065563262206250, 7821620120684573354895941635688250

Offset

0,3

Links

R. H. Hardin, Table of n, a(n) for n = 0..56

Esther M. Banaian, Generalized Eulerian Numbers and Multiplex Juggling Sequences, (2016). All College Thesis Program. Paper 24.

M. L. Stein and P. R. Stein, Enumeration of Linear Graphs and Connected Linear Graphs up to p = 18 Points. Report LA-3775, Los Alamos Scientific Laboratory of the University of California, Los Alamos, NM, Oct 1967.

M. L. Stein and P. R. Stein, Enumeration of Stochastic Matrices with Integer Elements, Report LA-4434, Los Alamos Scientific Laboratory of the University of California, Los Alamos, NM, Jun 1970. [Annotated scanned copy]

Crossrefs

Cf. A000681, A001500, A172862, A172894, A172919, A172944, A172958.

Column k=4 of A257493.

Sequence in context: A192639 A099123 A097993 * A054752 A258978 A128275

Adjacent sequences: A172803 A172804 A172805 * A172807 A172808 A172809

Keyword

nonn

Author

R. H. Hardin, Feb 06 2010

Status

approved