A223957 Number of nX4 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.

35, 805, 12311, 176893, 2575955, 37844037, 559416917, 8299429418, 123370738379, 1835707326614, 27327510542054, 406907786331737, 6059551623581467, 90242115362238750, 1343972755503334184, 20016039213440972353

Offset: 1

Author

R. H. Hardin Mar 29 2013

Keywords

• nonn

Comments

Column 4 of A223961

Examples

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

Links

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

Formula

Empirical: a(n) = 35*a(n-1) -411*a(n-2) +1521*a(n-3) +4495*a(n-4) -33893*a(n-5) -76333*a(n-6) +769422*a(n-7) -657978*a(n-8) -4892638*a(n-9) [phone]*a(n-10) [phone]*a(n-11) -212154687*a(n-12) [phone]*a(n-13) [phone]*a(n-14) -1964869675*a(n-15) -925267902*a(n-16) [phone]*a(n-17) -28421809002*a(n-18) [phone]*a(n-19) [phone]*a(n-20) [phone]*a(n-21) -206541843216*a(n-22) [phone]*a(n-23) [phone]*a(n-24) -263534650788*a(n-25) -263768865528*a(n-26) [phone]*a(n-27) [phone]*a(n-28) -494508716208*a(n-29) -124707094560*a(n-30) [phone]*a(n-31) [phone]*a(n-32) [phone]*a(n-33) [phone]*a(n-34) for n>36