A197370 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,4,1,0,1 for x=0,1,2,3,4

1, 17, 189, 899, 7485, 50831, 355929, 2503359, 17611057, 123747825, 869308845, 6110148907, 42934775357, 301710593001, 2120231045803, 14899304646125, 104701046013783, 735760461321649, 5170369292373967, 36333455835692225

Offset

1,2

Comments

Every 0 is next to 0 2's, every 1 is next to 1 4's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 1's

Column 5 of A197373

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +18*a(n-2) +87*a(n-3) +197*a(n-4) +361*a(n-5) +262*a(n-6) -1342*a(n-7) -10084*a(n-8) -22409*a(n-9) -14042*a(n-10) +24046*a(n-11) +154228*a(n-12) +191479*a(n-13) -37798*a(n-14) -122759*a(n-15) -261674*a(n-16) -384031*a(n-17) -353429*a(n-18) +155682*a(n-19) +613223*a(n-20) -120135*a(n-21) +55866*a(n-22) +352124*a(n-23) +86950*a(n-24) -153479*a(n-25) +92682*a(n-26) +21930*a(n-27) +23257*a(n-28) -10276*a(n-29) -3599*a(n-30) +1248*a(n-31) -128*a(n-32) -8*a(n-33) -64*a(n-34) -16*a(n-35)

Example

Some solutions containing all values 0 to 4 for n=4
..0..0..0..0..0....0..0..0..0..0....0..0..0..0..0....0..0..3..0..0
..0..0..0..1..0....0..1..0..0..0....0..1..0..0..3....0..0..0..1..0
..3..0..1..4..1....1..4..1..0..3....1..4..1..0..0....0..3..1..4..1
..0..3..0..1..2....2..1..0..3..0....2..1..0..3..0....0..0..0..1..2

Crossrefs

Sequence in context: A041548 A025931 A115234 * A211848 A021754 A141993

Adjacent sequences: A197367 A197368 A197369 * A197371 A197372 A197373

Keyword

nonn

Author

R. H. Hardin Oct 14 2011

Status

approved