A250941 Number of (n+1)X(7+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

103093, 1188599, 9865706, 72722706, 475951361, 2839711239, 15686582837, 81197881457, 397409857238, 1852256126330, 8268389261288, 35518343223640, 147408746536971, 593071701754583, 2319960593452318, 8846272931682598

Offset

1,1

Comments

Column 7 of A250942

Links

R. H. Hardin, Table of n, a(n) for n = 1..173

Formula

Empirical: a(n) = 56*a(n-1) -1522*a(n-2) +26750*a(n-3) -341788*a(n-4) +3383870*a(n-5) -27019370*a(n-6) +178816330*a(n-7) -1000398245*a(n-8) +4801705370*a(n-9) -19999827232*a(n-10) +72938367572*a(n-11) -234575011664*a(n-12) +669091458700*a(n-13) -1700431069076*a(n-14) +3864487952276*a(n-15) -7876529587291*a(n-16) +14429295594092*a(n-17) -23796815540850*a(n-18) +35368238093958*a(n-19) -47398136192484*a(n-20) +57276494053174*a(n-21) -62381329826018*a(n-22) +61173951385090*a(n-23) -53931666825727*a(n-24) +42653735964962*a(n-25) -30177492913372*a(n-26) +19030922520904*a(n-27) -10649333267120*a(n-28) +5257938886816*a(n-29) -2274410125504*a(n-30) +854313663104*a(n-31) -275508944128*a(n-32) +75166819840*a(n-33) -17011807232*a(n-34) +3107903488*a(n-35) -440373248*a(n-36) +45408256*a(n-37) -3031040*a(n-38) +98304*a(n-39) for n>53

Example

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

Crossrefs

Sequence in context: A014884 A015330 A250704 * A237572 A255210 A147526

Adjacent sequences: A250938 A250939 A250940 * A250942 A250943 A250944

Keyword

nonn

Author

R. H. Hardin, Nov 28 2014

Status

approved