A232593 Number of (4+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal

6, 456, 122, 6406, 3002, 93236, 68072, 1364998, 1320362, 20063788, 24123134, 296095446, 423016306, 4386696696, 7216047494, 65227876552, 120687373030, 973264614932, 1988957705626, 14569296892014, 32409581296990

Offset

1,1

Comments

Row 4 of A232589

Links

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

Formula

Empirical: a(n) = 20*a(n-2) +16*a(n-3) -92*a(n-4) -260*a(n-5) +82*a(n-6) +1038*a(n-7) +1278*a(n-8) -1350*a(n-9) -4927*a(n-10) -3536*a(n-11) +5500*a(n-12) +12930*a(n-13) +8739*a(n-14) -8650*a(n-15) -22849*a(n-16) -24728*a(n-17) -3836*a(n-18) +33686*a(n-19) +62865*a(n-20) +36392*a(n-21) -44749*a(n-22) -110478*a(n-23) -67221*a(n-24) +47184*a(n-25) +126718*a(n-26) +76044*a(n-27) -30029*a(n-28) -98898*a(n-29) -68985*a(n-30) +2372*a(n-31) +49486*a(n-32) +46722*a(n-33) +19080*a(n-34) -1646*a(n-35) -13297*a(n-36) -15236*a(n-37) -12882*a(n-38) -4684*a(n-39) +949*a(n-40) +3512*a(n-41) +2385*a(n-42) +1194*a(n-43) +233*a(n-44) -6*a(n-45) -67*a(n-46) -18*a(n-47) -2*a(n-48) +2*a(n-49) for n>54

Example

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

Crossrefs

Sequence in context: A258873 A244195 A338943 * A267082 A051735 A024084

Adjacent sequences: A232590 A232591 A232592 * A232594 A232595 A232596

Keyword

nonn

Author

R. H. Hardin, Nov 26 2013

Status

approved