A251000 Number of (6+1)X(n+1) 0..2 arrays with nondecreasing min(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

32554, 344135, 2592734, 16694358, 92713991, 469255626, 2187354714, 9598391778, 39986885934, 159873669378, 617120353307, 2314027591313, 8463667050406, 30311145373696, 106594771288491, 369026514715675, 1260190727458664

Offset

1,1

Comments

Row 6 of A250994

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +17*a(n-2) -284*a(n-3) +106*a(n-4) +4700*a(n-5) -6213*a(n-6) -48140*a(n-7) +92362*a(n-8) +341468*a(n-9) -826118*a(n-10) -1776404*a(n-11) +5213227*a(n-12) +6988348*a(n-13) -24852084*a(n-14) -21045456*a(n-15) +92969210*a(n-16) +48140524*a(n-17) -279535546*a(n-18) -79835920*a(n-19) +686453931*a(n-20) +79155936*a(n-21) -1391929843*a(n-22) +17793384*a(n-23) +2347811498*a(n-24) -259696800*a(n-25) -3309603209*a(n-26) +614759784*a(n-27) +3908486236*a(n-28) -950400596*a(n-29) -3868574686*a(n-30) +1107026528*a(n-31) +3204583292*a(n-32) -1015622316*a(n-33) -2214128543*a(n-34) +745872588*a(n-35) +1269025715*a(n-36) -440082340*a(n-37) -598624682*a(n-38) +207736100*a(n-39) +229909626*a(n-40) -77605988*a(n-41) -70846403*a(n-42) +22535228*a(n-43) +17169883*a(n-44) -4948832*a(n-45) -3182528*a(n-46) +788272*a(n-47) +433005*a(n-48) -85152*a(n-49) -40502*a(n-50) +5520*a(n-51) +2310*a(n-52) -160*a(n-53) -60*a(n-54) for n>58

Example

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

Crossrefs

Sequence in context: A233680 A243857 A028240 * A134698 A134949 A134947

Adjacent sequences: A250997 A250998 A250999 * A251001 A251002 A251003

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved