A303084 -id:A303084 - cp's OEIS frontend

A303079 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

1, 12, 32, 112, 416, 1512, 5472, 19904, 72396, 263136, 956480, 3477232, 12641136, 45954928, 167063792, 607344064, 2207938656, 8026742304, 29180448720, 106082737616, 385653691936, 1402007389776, 5096865080336, 18529170684512

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Column 3 of A303084.

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

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

Cf. A303084.

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +14*a(n-3) -24*a(n-4) +4*a(n-5) -12*a(n-6) -8*a(n-7) +12*a(n-8) -24*a(n-9) -4*a(n-10) -8*a(n-11)

A303080 Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 20, 29, 90, 304, 1054, 4182, 17369, 75377, 335199, 1511973, 6877743, 31436925, 144097153, 661586920, 3040460522, 13981091806, 64311876578, 295889956660, 1361516449806, 6265388048955, 28833190731421, 132693419071842

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Column 4 of A303084.

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

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

Cf. A303084.

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +40*a(n-3) -120*a(n-4) +154*a(n-5) -227*a(n-6) +511*a(n-7) +23*a(n-8) +913*a(n-9) -826*a(n-10) -2376*a(n-11) -4502*a(n-12) -920*a(n-13) +3818*a(n-14) +8855*a(n-15) -818*a(n-16) -403*a(n-17) +2092*a(n-18) +20390*a(n-19) +17737*a(n-20) +13494*a(n-21) +4257*a(n-22) +11150*a(n-23) +41175*a(n-24) +19200*a(n-25) -34770*a(n-26) -72210*a(n-27) -29661*a(n-28) +7521*a(n-29) +6424*a(n-30) -14914*a(n-31) -37578*a(n-32) -31048*a(n-33) +39954*a(n-34) +42548*a(n-35) -9756*a(n-36) -24760*a(n-37) -7244*a(n-38) +12262*a(n-39) +22816*a(n-40) +9539*a(n-41) -6968*a(n-42) -8366*a(n-43) +142*a(n-44) +5260*a(n-45) +1414*a(n-46) -1709*a(n-47) -1376*a(n-48) -1138*a(n-49) -624*a(n-50) +218*a(n-51) +300*a(n-52) +84*a(n-53) +36*a(n-54) +16*a(n-55) -16*a(n-56) for n>57.

A303081 Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 72, 258, 1455, 11767, 84474, 615471, 4647197, 35089147, 266582788, 2040291566, 15688494163, 121138647551, 938798080313, 7297261476590, 56863460415074, 444030008288805, 3473279096665275, 27207246337447767, 213372255333189453

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Column 5 of A303084.

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

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

Cf. A303084.

A303082 Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 168, 432, 3667, 34430, 409478, 4862916, 60442630, 764631608, 9669569563, 122749248476, 1560529225399, 19844842693550, 252421510589391, 3211301552676338, 40856246979685360, 519811697254457408

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Column 6 of A303084.

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

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

Cf. A303084.

A303083 Number of n X 7 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 496, 2525, 33152, 636070, 13375327, 266882021, 5754725245, 125608726910, 2751441878716, 60560951633302, 1338653889825967, 29617783009064771, 655764759948936409, 14528234528855832400, 321957970196713225956

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Column 7 of A303084.

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

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

Cf. A303084.

A303085 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 2, 32, 29, 258, 432, 2525, 6313, 30188, 97855, 428478, 1605301, 6821375, 27390903, 115569231, 478335810, 2017576268, 8457463080, 35707225807, 150472100292, 635822248364, 2685274511197, 11352580693193, 47989709554314

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Row 3 of A303084.

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

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

Cf. A303084.

Empirical: a(n) = 7*a(n-1) -2*a(n-2) -67*a(n-3) +80*a(n-4) +187*a(n-5) -202*a(n-6) -298*a(n-7) +122*a(n-8) +213*a(n-9) +122*a(n-10) +126*a(n-11) -63*a(n-12) -416*a(n-13) +152*a(n-14) +20*a(n-15) -21*a(n-16) +9*a(n-17) for n>18

A303086 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 3, 112, 90, 1455, 3667, 33152, 157838, 1161232, 7100035, 49678916, 329669849, 2281641594, 15540614996, 107301648292, 737154651791, 5087197252026, 35051028229325, 241871543186476, 1668193998276026, 11511498465288360

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Row 4 of A303084.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 67

Cf. A303084.

Empirical recurrence of order 67 (see link above)

A303087 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 6, 416, 304, 11767, 34430, 636070, 4585419, 60170515, 624887953, 7591519361, 87577958854, 1051143716702, 12466186847080, 149433683446612, 1785840844823381, 21408005102663193, 256419078046090099

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Row 5 of A303084.

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

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

Cf. A303084.

A303088 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 10, 1512, 1054, 84474, 409478, 13375327, 170974652, 3893734675, 71289930593, 1496311061702, 30100235172688, 624208088551832, 12842477892658295, 266147935416358350, 5506837456678308359, 114163685076018803329

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Row 6 of A303084.

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

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

Cf. A303084.

A303089 Number of 7Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 21, 5472, 4182, 615471, 4862916, 266882021, 5924274499, 231312682374, 7326136324116, 265724475520255, 9228359438652216, 330920558831885611, 11758758712910364555, 421228402696480451106, 15057312628686341086187

Offset: 1

R. H. Hardin, Apr 18 2018

nonn

Row 7 of A303084.

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

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

Cf. A303084.

cp's OEIS Frontend

A303079 Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303080 Number of n X 4 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303081 Number of nX5 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303082 Number of nX6 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303083 Number of n X 7 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303085 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303086 Number of 4Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303087 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303088 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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A303089 Number of 7Xn 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

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