A213964 Number of 4X4 0..n matrices with row and column 1..4 having sum <= i*n

5314, 1299735, 74323976, 1839121115, 26346319032, 256652587891, 1876235252048, 10982618599248, 53844488576650, 228411366730514, 858979624713168, 2917594805354242, 9082065855050720, 26213547883869330, 70820298142121408

Offset

1,1

Comments

Row 4 of A213962

Links

R. H. Hardin, Table of n, a(n) for n = 1..41

Formula

Empirical: a(n) = (4679471/2270268000)*n^16 + (135958687/2476656000)*n^15 + (2078860429/3113510400)*n^14 + (2558219003/518918400)*n^13 + (274698527/11088000)*n^12 + (481269659/5346000)*n^11 + (18685736999/76204800)*n^10 + (19501561159/38102400)*n^9 + (22571956991/27216000)*n^8 + (1057766063/1008000)*n^7 + (82705488571/79833600)*n^6 + (1231373209/1555200)*n^5 + (3137244260567/6810804000)*n^4 + (299434637471/1513512000)*n^3 + (51361787/864864)*n^2 + (268615/24024)*n + 1

Example

Some solutions for n=4
..3..0..1..0....1..3..0..0....3..0..0..0....1..3..0..0....4..0..0..0
..1..2..0..3....0..4..2..1....0..4..3..0....3..4..0..0....0..4..0..4
..0..3..1..2....0..1..0..1....0..3..1..4....0..1..3..3....0..1..2..4
..0..2..1..0....1..0..4..0....0..0..0..4....0..0..4..4....0..1..2..4

Crossrefs

Sequence in context: A204838 A212078 A176136 * A133152 A252199 A317917

Adjacent sequences: A213961 A213962 A213963 * A213965 A213966 A213967

Keyword

nonn

Author

R. H. Hardin Jun 28 2012

Status

approved