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

1,1

Comments

Column 4 of A223961

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) +11892141*a(n-10) +26545075*a(n-11) -212154687*a(n-12) +180127811*a(n-13) +844199306*a(n-14) -1964869675*a(n-15) -925267902*a(n-16) +18361374116*a(n-17) -28421809002*a(n-18) +14606204778*a(n-19) +43447425250*a(n-20) +45550238994*a(n-21) -206541843216*a(n-22) +420735920152*a(n-23) +123206624124*a(n-24) -263534650788*a(n-25) -263768865528*a(n-26) +1543560996888*a(n-27) +154734998544*a(n-28) -494508716208*a(n-29) -124707094560*a(n-30) +893424774528*a(n-31) +244581703200*a(n-32) +20427292800*a(n-33) +536699520*a(n-34) for n>36

Example

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

Crossrefs

Sequence in context: A226941 A249883 A249884 * A109508 A267834 A001724

Adjacent sequences: A223954 A223955 A223956 * A223958 A223959 A223960

Keyword

nonn

Author

R. H. Hardin Mar 29 2013

Status

approved