A232520 Number of (5+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally, with no adjacent elements equal

28, 3052, 1344, 145682, 64290, 7059918, 3267824, 342080372, 164573398, 16574068036, 8286633666, 803051212486, 416590808466, 38909815282520, 20916002463392, 1885291607431678, 1048847985892576, 91348421012547690

Offset

1,1

Comments

Row 5 of A232515

Links

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

Formula

Empirical: a(n) = 46*a(n-2) +a(n-3) +184*a(n-4) +21*a(n-5) -3129*a(n-6) -1083*a(n-7) -3837*a(n-8) -5042*a(n-9) +64552*a(n-10) +42441*a(n-11) -10740*a(n-12) +85083*a(n-13) -472265*a(n-14) -520288*a(n-15) +646440*a(n-16) +58606*a(n-17) +990947*a(n-18) +2531329*a(n-19) -2663947*a(n-20) -3853362*a(n-21) +526235*a(n-22) -243166*a(n-23) +2238796*a(n-24) +3874611*a(n-25) +231546*a(n-26) -428600*a(n-27) -2131424*a(n-28) -2004356*a(n-29) -566543*a(n-30) -430671*a(n-31) +1095449*a(n-32) +666920*a(n-33) +98319*a(n-34) +117471*a(n-35) -169012*a(n-36) -48051*a(n-37) -37792*a(n-38) -23820*a(n-39) +12960*a(n-40) -2700*a(n-41) +3600*a(n-42)

Example

Some solutions for n=5
..1..0..1..2..1..0....2..1..0..1..2..1....1..0..1..0..1..2....1..2..1..2..1..0
..1..2..1..2..1..2....2..1..0..1..0..1....1..2..1..2..1..2....1..0..1..2..1..0
..1..0..1..0..1..0....0..1..2..1..2..1....1..0..1..2..1..0....1..0..1..0..1..2
..1..2..1..2..1..0....2..1..2..1..2..1....1..2..1..0..1..0....1..2..1..0..1..2
..1..2..1..0..1..0....0..1..0..1..0..1....1..0..1..2..1..0....1..0..1..2..1..0
..1..0..1..2..1..2....0..1..2..1..2..1....1..2..1..0..1..0....1..2..1..2..1..2

Crossrefs

Sequence in context: A107444 A277657 A285151 * A061787 A235458 A128506

Adjacent sequences: A232517 A232518 A232519 * A232521 A232522 A232523

Keyword

nonn

Author

R. H. Hardin, Nov 25 2013

Status

approved