A223807 Number of nX3 0..3 arrays with rows, columns, diagonals and antidiagonals unimodal.
50, 2500, 58806, 825896, 8165133, 62305953, 388531932, 2057610878, 9513089522, 39201336756, 146317003838, 501049337826, 1590725248238, 4722687426852, 13206968194237, 35002231000213, 88376951307032, 213545507535686
Offset: 1
Keywords
Examples
Some solutions for n=3 ..2..2..1....0..3..3....0..3..3....1..2..0....0..0..0....0..0..1....2..0..0 ..3..3..1....2..3..3....1..1..3....1..2..0....0..3..3....1..3..3....2..2..3 ..0..2..1....3..3..0....0..1..2....3..2..0....1..3..3....1..2..2....2..3..3
Links
- R. H. Hardin, Table of n, a(n) for n = 1..210
Formula
Empirical: a(n) = (89/169374965760)*n^18 + (838301/44460928512000)*n^17 + (131561/298896998400)*n^16 + (2899703/435891456000)*n^15 + (20728921/261534873600)*n^14 + (44295233/62270208000)*n^13 + (61053571/11496038400)*n^12 + (1555111843/50295168000)*n^11 + (157620907/1045094400)*n^10 + (3423292861/6096384000)*n^9 + (56948336183/32188907520)*n^8 + (18757539769/4790016000)*n^7 + (288950150603/37362124800)*n^6 + (2420059673699/326918592000)*n^5 + (12916777153/889574400)*n^4 + (2892057797/4540536000)*n^3 + (22972148831/1029188160)*n^2 - (1109957/29172)*n + 29
Comments