A250696 - OEIS

A250696

Number of (5+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

53032, 362241, 1848953, 8038566, 31728758, 117793753, 420283865, 1461625340, 5002774320, 16967929009, 57302621481, 193328559946, 653111062242, 2212763076073, 7527314240137, 25733887423136, 88490379721660

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Row 5 of A250691

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..188

FORMULA

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

EXAMPLE

Some solutions for n=1

..3..0....2..0....1..1....1..0....3..1....3..0....2..0....0..0....3..3....3..0

..3..3....2..0....3..3....2..2....3..1....3..0....1..1....2..3....1..1....3..0

..1..1....1..1....0..0....2..2....2..0....2..1....2..2....1..2....0..0....3..0

..2..3....0..0....3..3....1..1....2..0....1..0....3..3....0..1....1..2....3..2

..1..2....2..2....1..1....2..3....1..1....0..1....1..1....2..3....0..1....1..0

..0..3....0..0....2..3....2..3....1..2....0..3....1..3....0..1....1..2....1..2

CROSSREFS

Sequence in context: A206092 A233965 A157758 * A250681 A031833 A155557

Adjacent sequences: A250693 A250694 A250695 * A250697 A250698 A250699

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 26 2014

STATUS

approved