A229934 -id:A229934 - cp's OEIS frontend

A229928 Number of nX2 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

3, 19, 115, 739, 4679, 29569, 187211, 1185283, 7502685, 47491531, 300627179, 1902998895, 12046125511, 76252939087, 482687382245, 3055450450511, 19341249601691, 122431683941789, 775002524638781, 4905829047952315

Offset: 1

R. H. Hardin, Oct 04 2013

nonn

Column 2 of A229934

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

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

Empirical: a(n) = 6*a(n-1) -3*a(n-2) +32*a(n-3) -a(n-4) +7*a(n-5) +43*a(n-6) +47*a(n-7) +7*a(n-8) +26*a(n-9) -13*a(n-10) +6*a(n-11) -5*a(n-12) +a(n-13)

A229929 Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

3, 115, 1889, 33119, 575757, 10015447, 174306687, 3033162257, 52780116071, 918441159087, 15982039040815, 278107289563015, 4839412932483379, 84211817278578727, 1465390522949952937, 25499620386183396001

Offset: 1

R. H. Hardin, Oct 04 2013

nonn

Column 3 of A229934

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

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

Empirical: a(n) = 17*a(n-1) -35*a(n-2) +714*a(n-3) -186*a(n-4) +7255*a(n-5) +20662*a(n-6) -64966*a(n-7) +84269*a(n-8) +187347*a(n-9) -322147*a(n-10) -628502*a(n-11) -1841129*a(n-12) +1612168*a(n-13) +1569555*a(n-14) +6807437*a(n-15) +4484863*a(n-16) -10256653*a(n-17) -6172407*a(n-18) -30616026*a(n-19) +24692244*a(n-20) -26449944*a(n-21) +78202441*a(n-22) -22109082*a(n-23) +88650916*a(n-24) -93802931*a(n-25) +32432730*a(n-26) -90623604*a(n-27) +31406227*a(n-28) -43230346*a(n-29) +32065489*a(n-30) -12064122*a(n-31) +4898739*a(n-32) -6961489*a(n-33) -2339302*a(n-34) -1481520*a(n-35) -123582*a(n-36) +105456*a(n-37) +41286*a(n-38) -230321*a(n-39) +22096*a(n-40) -50268*a(n-41) -10864*a(n-42) -6264*a(n-43) -2368*a(n-44) +856*a(n-45) -680*a(n-46) +404*a(n-47) -32*a(n-48) -80*a(n-49) for n>50

A229930 Number of nX4 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

9, 739, 33119, 1622763, 78416265, 3788842363, 183213209145, 8859387292449, 428371366651425, 20712776154273627, 1001517772189056421, 48426025953836117091, 2341525140459285538795, 113218875141418681649923

Offset: 1

R. H. Hardin, Oct 04 2013

nonn

Column 4 of A229934

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

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

A229931 Number of nX5 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

15, 4679, 575757, 78416265, 10521395805, 1411363459757, 189537122520529, 25452175156264451, 3417529000078202173, 458884977133199962799, 61616812650798586337473, 8273590477515811155826013

Offset: 1

R. H. Hardin, Oct 04 2013

nonn

Column 5 of A229934

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

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

A229932 Number of nX6 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

33, 29569, 10015447, 3788842363, 1411363459757, 525542853634783, 195955071996200947, 73057913024557581941, 27235038814107317646027, 10153014714698018227142569, 3785003149755782735750663171

Offset: 1

R. H. Hardin, Oct 04 2013

nonn

Column 6 of A229934

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

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

A229933 Number of nX7 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

Original entry on oeis.org

63, 187211, 174306687, 183213209145, 189537122520529, 195955071996200947, 202902063153139301263, 210073683026638667977949, 217469679800421836913361917, 225130067038542417663060555935

Offset: 1

R. H. Hardin, Oct 04 2013

nonn

Column 7 of A229934

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

R. H. Hardin, Table of n, a(n) for n = 1..37

cp's OEIS Frontend

A229928 Number of nX2 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

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A229929 Number of nX3 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

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A229930 Number of nX4 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

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A229931 Number of nX5 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

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A229932 Number of nX6 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

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A229933 Number of nX7 0..2 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value 2-x(i,j).

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