A223978 Number of 5Xn 0..2 arrays with rows and antidiagonals unimodal.

243, 59049, 3628696, 84988435, 1140963027, 10676374380, 76942621022, 453969579904, 2284206888340, 10088688214569, 39954771229458, 144202872415543, 480339235745630, 1491693619175208, 4354474074592966

Offset: 1

Author

R. H. Hardin Mar 30 2013

Keywords

• nonn

Comments

Row 5 of A223975

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = (63370093/405483668029440000)*n^20 + (71859847/9357315416064000)*n^19 + (3840596671/12804747411456000)*n^18 + (16093136419/2134124568576000)*n^17 + (89468187533/627683696640000)*n^16 + (124873595783/62768369664000)*n^15 + (2671089252541/125536739328000)*n^14 + (32125296547501/188305108992000)*n^13 + (302581775150461/289700167680000)*n^12 + (44545336450771/9656672256000)*n^11 + (289473882894181/19313344512000)*n^10 + (311624791382747/9656672256000)*n^9 + (1803023416115741/34871316480000)*n^8 + (43416115518617/724250419200)*n^7 + (2936371270324637/47076277248000)*n^6 - (1561630187307499/2615348736000)*n^5 - (2687139777308839/111152321280000)*n^4 - (285271644066077/77189112000)*n^3 + (4647951175288301/586637251200)*n^2 - (79120764337/15519504)*n + 1710 for n>2