A232573 Number of (n+1)X(2+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, vertically or antidiagonally

72, 1064, 16316, 265670, 4252876, 67979266, 1090643352, 17469440576, 279889357176, 4484766979158, 71855180523860, 1151291899304218, 18446489829419748, 295556353549647088, 4735518134130583640

Offset

1,1

Comments

Column 2 of A232579

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +133*a(n-2) +898*a(n-3) +1301*a(n-4) -5200*a(n-5) -10703*a(n-6) +3428*a(n-7) -1089631*a(n-8) -199930*a(n-9) +4385413*a(n-10) +20845860*a(n-11) +28031898*a(n-12) -220854540*a(n-13) -102914934*a(n-14) +1092711772*a(n-15) -376388671*a(n-16) -1898829704*a(n-17) +2499228555*a(n-18) -1362129714*a(n-19) -3015536791*a(n-20) +6548644648*a(n-21) +1241905557*a(n-22) -13074485456*a(n-23) +20315868387*a(n-24) -26549602146*a(n-25) +13961634587*a(n-26) -8938694500*a(n-27) +1010632952*a(n-28) +504496900*a(n-29) -528346112*a(n-30) +145246080*a(n-31) +2522156*a(n-32) -33648304*a(n-33) -14570624*a(n-34) +13149248*a(n-35) -3183872*a(n-36) +239616*a(n-37) for n>38

Example

Some solutions for n=3
..2..0..2....0..2..1....2..1..0....0..1..2....0..1..0....1..0..1....2..1..2
..1..1..0....1..0..2....1..0..2....2..0..0....0..2..2....2..2..0....0..1..0
..2..2..2....2..2..1....2..2..1....0..2..1....1..0..1....0..1..1....1..2..1
..1..0..1....0..1..0....1..0..2....1..2..0....2..2..0....2..2..0....2..1..0

Crossrefs

Sequence in context: A250423 A250650 A008399 * A022148 A192847 A064567

Adjacent sequences: A232570 A232571 A232572 * A232574 A232575 A232576

Keyword

nonn

Author

R. H. Hardin, Nov 26 2013

Status

approved