A250939 Number of (n+1)X(5+1) 0..2 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

8189, 67595, 442409, 2572787, 13550488, 65910564, 300230097, 1294549437, 5327479262, 21062394646, 80424456334, 297906525120, 1074483995493, 3785560272757, 13063702554647, 44264190982245, 147573443440022

Offset

1,1

Comments

Column 5 of A250942

Links

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

Formula

Empirical: a(n) = 40*a(n-1) -766*a(n-2) +9350*a(n-3) -81710*a(n-4) +544382*a(n-5) -2874850*a(n-6) +12352582*a(n-7) -43985920*a(n-8) +131537670*a(n-9) -333559974*a(n-10) +722313210*a(n-11) -1342220274*a(n-12) +2146926330*a(n-13) -2960548470*a(n-14) +3519770370*a(n-15) -3602697855*a(n-16) +3165299610*a(n-17) -2375783300*a(n-18) +1512910520*a(n-19) -809611616*a(n-20) +359318080*a(n-21) -129863296*a(n-22) +37239040*a(n-23) -8149760*a(n-24) +1278464*a(n-25) -128000*a(n-26) +6144*a(n-27) for n>37

Example

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

Crossrefs

Sequence in context: A351448 A235095 A283954 * A137385 A108093 A051334

Adjacent sequences: A250936 A250937 A250938 * A250940 A250941 A250942

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved