A196806 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,3,0,1 for x=0,1,2,3,4

1, 17, 120, 1515, 19449, 166682, 1730105, 18344433, 186996068, 1929020093, 20000798340, 205893266832, 2122824479646, 21911879424345, 226005819417517, 2331282643796687, 24051519818547252, 248109780944578426

Offset

1,2

Comments

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

Column 5 of A196809

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +46*a(n-2) +251*a(n-3) +912*a(n-4) +3106*a(n-5) +33732*a(n-6) +134128*a(n-7) -20034*a(n-8) -567014*a(n-9) -375318*a(n-10) -6015368*a(n-11) -16173299*a(n-12) -1856398*a(n-13) -6077492*a(n-14) +115957*a(n-15) +86716000*a(n-16) +121879353*a(n-17) +143953434*a(n-18) +89210978*a(n-19) -338982089*a(n-20) +596943388*a(n-21) -937879207*a(n-22) -29192016*a(n-23) +898444015*a(n-24) -968379863*a(n-25) +1255345857*a(n-26) -1174344242*a(n-27) +285800984*a(n-28) +142375346*a(n-29) -191125798*a(n-30) +133032528*a(n-31) -51445208*a(n-32) +22658488*a(n-33) +6236280*a(n-34) -4351872*a(n-35) +1586080*a(n-36) -1187040*a(n-37) +225696*a(n-38) +24640*a(n-39) +37248*a(n-40) +13824*a(n-41)

Example

Some solutions for n=4
..0..0..0..3..0....0..0..3..0..0....0..0..0..0..0....0..0..3..0..0
..0..0..3..0..0....0..0..0..3..0....0..0..1..0..3....3..0..0..0..0
..0..0..3..0..0....3..0..3..2..0....0..3..2..3..0....0..0..0..0..0
..0..0..0..0..0....0..0..0..1..0....0..0..1..0..0....0..3..0..3..0

Crossrefs

Sequence in context: A010823 A022709 A221329 * A094944 A274325 A108682

Adjacent sequences: A196803 A196804 A196805 * A196807 A196808 A196809

Keyword

nonn

Author

R. H. Hardin Oct 06 2011

Status

approved