A234157 Number of (n+1)X(4+1) 0..3 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

5446, 208530, 7952532, 305867942, 11788446834, 454899880956, 17566272589090, 678657896630666, 26228432144965180, 1013926534125410910, 39203657407973012450, 1516046883452164086780, 58633986736678853197346

Offset

1,1

Comments

Column 4 of A234161

Links

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

Formula

Empirical: a(n) = 90*a(n-1) -2653*a(n-2) +24943*a(n-3) +89825*a(n-4) -2218609*a(n-5) +1432019*a(n-6) +71490923*a(n-7) -78048525*a(n-8) -1164227315*a(n-9) +761044775*a(n-10) +9924372783*a(n-11) -667076603*a(n-12) -41948446347*a(n-13) -15809876567*a(n-14) +78900501505*a(n-15) +41327430666*a(n-16) -75139994803*a(n-17) -37071907734*a(n-18) +40119015622*a(n-19) +12686351262*a(n-20) -12371945864*a(n-21) -754232304*a(n-22) +1729058752*a(n-23) -288379744*a(n-24) -6642240*a(n-25) +2957184*a(n-26)

Example

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

Crossrefs

Sequence in context: A124629 A222696 A125016 * A204474 A251052 A259514

Adjacent sequences: A234154 A234155 A234156 * A234158 A234159 A234160

Keyword

nonn

Author

R. H. Hardin, Dec 20 2013

Status

approved