A234834 Number of (n+2)X(1+2) 0..2 arrays with each 3X3 subblock having the sum of its 72 absolute element differences equal to 34

4032, 28716, 204618, 1480140, 11003508, 81917442, 610407090, 4599763200, 34670088612, 260653727898, 1973978274960, 14942547090972, 112726647158274, 855431018398512, 6486392278066446, 49009155729672438, 372210537737194542

Offset

1,1

Comments

Column 1 of A234838

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +9*a(n-2) +789*a(n-3) -2313*a(n-4) -6696*a(n-5) -207666*a(n-6) +613926*a(n-7) +1658070*a(n-8) +24654780*a(n-9) -78498963*a(n-10) -180994662*a(n-11) -1400753817*a(n-12) +5240802141*a(n-13) +9315327483*a(n-14) +35316124335*a(n-15) -180514151127*a(n-16) -225010406979*a(n-17) -273283200675*a(n-18) +3034401272748*a(n-19) +2351614733298*a(n-20) +97770795093*a(n-21) -25129106905968*a(n-22) +2369195864460*a(n-23) -48100205160702*a(n-24) +50827932381402*a(n-25) -289456311030156*a(n-26) +1093187493175212*a(n-27) +1157937854342760*a(n-28) +3814277139079524*a(n-29) -7799950652174604*a(n-30) -13223099849563548*a(n-31) -22117245288184764*a(n-32) -1807549033478400*a(n-33) +32996807606148192*a(n-34) +38961719416626912*a(n-35) -4270334591592720*a(n-36) -20131577360365680*a(n-37) -8784688302705024*a(n-38)

Example

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

Crossrefs

Sequence in context: A249107 A329881 A234838 * A212601 A060896 A371757

Adjacent sequences: A234831 A234832 A234833 * A234835 A234836 A234837

Keyword

nonn

Author

R. H. Hardin, Dec 31 2013

Status

approved