A300465 -id:A300465 - cp's OEIS frontend

A300460 Number of nX3 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

0, 2, 2, 8, 22, 68, 212, 652, 2017, 6225, 19229, 59393, 183451, 566633, 1750167, 5405795, 16697038, 51572664, 159294072, 492016422, 1519706056, 4693962286, 14498384074, 44781599826, 138318289075, 427227905079, 1319591820767

Offset: 1

R. H. Hardin, Mar 06 2018

nonn

Column 3 of A300465.

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

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

Cf. A300465.

Empirical: a(n) = 2*a(n-1) +2*a(n-2) +3*a(n-3) +a(n-4) +8*a(n-5) +4*a(n-6) -5*a(n-7) -11*a(n-8) +6*a(n-9) -2*a(n-10) -7*a(n-11) -a(n-12) +4*a(n-13) -4*a(n-14) +a(n-15)

A300461 Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 4, 8, 28, 142, 540, 2585, 11343, 51501, 233028, 1052448, 4769842, 21579345, 97715668, 442378911, 2002838338, 9067930634, 41054700887, 185876096558, 841553822832, 3810142997823, 17250454214015, 78101569076062

Offset: 1

R. H. Hardin, Mar 06 2018

nonn

Column 4 of A300465.

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

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

Cf. A300465.

Empirical: a(n) = 4*a(n-1) +6*a(n-2) -5*a(n-3) -37*a(n-4) -59*a(n-5) -39*a(n-6) +80*a(n-7) -279*a(n-8) +328*a(n-9) +1083*a(n-10) -25*a(n-11) +6234*a(n-12) +6280*a(n-13) -5927*a(n-14) +13954*a(n-15) -677*a(n-16) -53183*a(n-17) +32616*a(n-18) -49693*a(n-19) -57573*a(n-20) +142653*a(n-21) -126299*a(n-22) +100762*a(n-23) +71676*a(n-24) -234851*a(n-25) +178322*a(n-26) -92379*a(n-27) -11243*a(n-28) +181969*a(n-29) -91225*a(n-30) +44201*a(n-31) -9047*a(n-32) -83657*a(n-33) +21643*a(n-34) +39079*a(n-35) -7039*a(n-36) -11806*a(n-37) +2726*a(n-38) +9392*a(n-39) -18923*a(n-40) +27265*a(n-41) -28247*a(n-42) +17148*a(n-43) -7200*a(n-44) +2338*a(n-45) +517*a(n-46) -867*a(n-47) -170*a(n-48) +576*a(n-49) -297*a(n-50) +60*a(n-51) -4*a(n-52) for n>54

A300462 Number of nX5 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 9, 22, 142, 1146, 7456, 55663, 400028, 2906875, 21162204, 153677233, 1117612488, 8123629685, 59057261422, 429317113075, 3120977422852, 22688267741133, 164934718709179, 1199012026918226, 8716348960310287, 63364478025520501

Offset: 1

R. H. Hardin, Mar 06 2018

nonn

Column 5 of A300465.

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

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

Cf. A300465.

A300463 Number of nX6 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 19, 68, 540, 7456, 78195, 935121, 10913850, 127028268, 1493618674, 17461316528, 204700167234, 2397343348003, 28083486453043, 328982201480033, 3853663395457966, 45143074414088192, 528811530208812741

Offset: 1

R. H. Hardin, Mar 06 2018

nonn

Column 6 of A300465.

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

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

Cf. A300465.

A300464 Number of nX7 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 41, 212, 2585, 55663, 935121, 17675111, 330639367, 6123205255, 114735094931, 2136975985538, 39899944005038, 744635053156875, 13895291324256516, 259332066899793610, 4839626748377777725, 90318818165804970003

Offset: 1

R. H. Hardin, Mar 06 2018

nonn

Column 7 of A300465.

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

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

Cf. A300465.

A300459 Number of n X n 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 1, 2, 28, 1146, 78195, 17675111, 9829599051, 14061129641181, 51771244646074395

Offset: 1

R. H. Hardin, Mar 06 2018

nonn

Diagonal of A300465.

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

Cf. A300465.

cp's OEIS Frontend

A300460 Number of nX3 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300461 Number of nX4 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300462 Number of nX5 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300463 Number of nX6 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300464 Number of nX7 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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A300459 Number of n X n 0..1 arrays with every element equal to 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

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