A250940 Number of (n+1)X(6+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

29281, 287045, 2130148, 14019652, 82716842, 447407616, 2251710502, 10665462156, 47958734697, 206139574253, 851679799222, 3397912330594, 13141757739822, 49435741777556, 181394083961019, 650867665355327, 2288842876718034

Offset

1,1

Comments

Column 6 of A250942

Links

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

Formula

Empirical: a(n) = 48*a(n-1) -1112*a(n-2) +16562*a(n-3) -178227*a(n-4) +1476526*a(n-5) -9797976*a(n-6) +53499384*a(n-7) -245045658*a(n-8) +955076824*a(n-9) -3202092192*a(n-10) +9312283292*a(n-11) -23642916518*a(n-12) +52663644036*a(n-13) -103298123488*a(n-14) +178894126536*a(n-15) -274011414885*a(n-16) +371522682600*a(n-17) -445928115656*a(n-18) +473444932290*a(n-19) -443904657751*a(n-20) +366616672318*a(n-21) -265746271752*a(n-22) +168247522352*a(n-23) -92447923152*a(n-24) +43724592288*a(n-25) -17609970432*a(n-26) +5954198528*a(n-27) -1658003712*a(n-28) +370160128*a(n-29) -63686656*a(n-30) +7925760*a(n-31) -634880*a(n-32) +24576*a(n-33) for n>45

Example

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

Crossrefs

Sequence in context: A206470 A194619 A058652 * A186566 A083740 A083739

Adjacent sequences: A250937 A250938 A250939 * A250941 A250942 A250943

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved