A205091 Number of (n+1)X3 0..3 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors

1328, 13116, 171790, 2323490, 33432873, 473468278, 6825854177, 97434972458, 1400397520634, 20040440280986, 287600358488383, 4119875835641658, 59086396068054719, 846765767843984246, 12140883557782262680

Offset

1,1

Comments

Column 2 of A205097

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +61*a(n-2) -1080*a(n-3) +4316*a(n-4) -2492*a(n-5) -64039*a(n-6) +381996*a(n-7) -1283276*a(n-8) +2785276*a(n-9) -1539170*a(n-10) -20283712*a(n-11) +116603963*a(n-12) -408274230*a(n-13) +1152730179*a(n-14) -2854787638*a(n-15) +6272522589*a(n-16) -12271092056*a(n-17) +21605332496*a(n-18) -34363071774*a(n-19) +49501258815*a(n-20) -65887238402*a(n-21) +84449247026*a(n-22) -111175677802*a(n-23) +160721683875*a(n-24) -249770812048*a(n-25) +374457895469*a(n-26) -501256989846*a(n-27) +591574369110*a(n-28) -619405129694*a(n-29) +560138970161*a(n-30) -404813416964*a(n-31) +205012837895*a(n-32) -55446182144*a(n-33) +3308435675*a(n-34) -9914554906*a(n-35) +15674895699*a(n-36) -4919460556*a(n-37) -5275625484*a(n-38) +4888957634*a(n-39) +255044772*a(n-40) -2974480434*a(n-41) +2609856714*a(n-42) -1564758900*a(n-43) +1031837204*a(n-44) -744099464*a(n-45) +375794957*a(n-46) -33609742*a(n-47) -115721758*a(n-48) +101669692*a(n-49) -44336021*a(n-50) +9842494*a(n-51) +120845*a(n-52) -802982*a(n-53) +252792*a(n-54) -37408*a(n-55) +2304*a(n-56) for n>60

Example

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

Crossrefs

Sequence in context: A109568 A235234 A250873 * A038854 A323329 A353027

Adjacent sequences: A205088 A205089 A205090 * A205092 A205093 A205094

Keyword

nonn

Author

R. H. Hardin Jan 22 2012

Status

approved