OFFSET
1,7
COMMENTS
The n-th row of A257493 is a polynomial of degree (n-1)^2. This triangle gives the coefficients of the numerator of the generating functions for A257493 with denominators being (1-x)^(1+(n-1)^2). - Andrew Howroyd, Apr 11 2020
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..177 (rows 1..9)
D. M. Jackson and G. H. J. van Rees, The enumeration of generalized double stochastic nonnegative integer square matrices, SIAM J. Comput., 4 (1975), 474-477, doi:10.1137/0204040.
D. M. Jackson & G. H. J. van Rees, The enumeration of generalized double stochastic nonnegative integer square matrices, SIAM J. Comput., 4.4 (1975), 474-477. (Annotated scanned copy)
FORMULA
T(n,k) = Sum_{i=0..k} A257493(n, k-i)*(-1)^i*binomial(1+(n-1)^2,i). - Andrew Howroyd, Apr 11 2020
EXAMPLE
Triangle begins:
1;
1;
1,1,1;
1,14,87,148,87,14,1;
1,103,4306,63110,388615,1115068,1575669,1115068,388615,63110,4306,103,1;
...
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
N. J. A. Sloane, Jul 03 2015
EXTENSIONS
a(1)=1 prepended and terms a(26) and beyond from Andrew Howroyd, Apr 11 2020
STATUS
approved