A282885 -id:A282885 - cp's OEIS frontend

A282879 Number of nX2 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

0, 2, 8, 32, 122, 416, 1414, 4626, 14930, 47432, 149032, 463918, 1432956, 4397436, 13419434, 40754026, 123245234, 371322718, 1115052844, 3338521720, 9969125698, 29697147320, 88271949298, 261856896380, 775373941754, 2292071140404

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Column 2 of A282885.

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

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

Cf. A282885.

Empirical: a(n) = 2*a(n-1) +7*a(n-2) -2*a(n-3) -20*a(n-4) -24*a(n-5) -19*a(n-6) -14*a(n-7) -7*a(n-8) -2*a(n-9) -a(n-10).

Empirical: G.f.: 2*x^2*(2*x+1)*(x^3+x^2+1) / ( (x^5+x^4+3*x^3+4*x^2+x-1)^2 ). - R. J. Mathar, Mar 02 2017

A282880 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

Original entry on oeis.org

1, 8, 74, 430, 2426, 13062, 67676, 342972, 1707597, 8384136, 40716024, 195950228, 935955604, 4442192472, 20968437076, 98509310972, 460879910601, 2148369624844, 9981992555058, 46244594782978, 213681269956154, 985012878231418

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Column 3 of A282885.

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

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

Cf. A282885.

Empirical: a(n) = 2*a(n-1) +17*a(n-2) +22*a(n-3) -75*a(n-4) -376*a(n-5) -834*a(n-6) -1206*a(n-7) -1229*a(n-8) -824*a(n-9) -187*a(n-10) +346*a(n-11) +511*a(n-12) +344*a(n-13) +91*a(n-14) -74*a(n-15) -106*a(n-16) -42*a(n-17) +2*a(n-18) +16*a(n-19) +4*a(n-20) -a(n-22)

A282881 Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

Original entry on oeis.org

2, 32, 430, 3762, 34314, 286920, 2342046, 18668994, 146171090, 1129426388, 8631205392, 65377140772, 491525631332, 3672205687546, 27287152439396, 201813637267634, 1486474449573152, 10909072654743782, 79802389614658676

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Column 4 of A282885.

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

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

Cf. A282885.

Empirical: a(n) = 2*a(n-1) +47*a(n-2) +124*a(n-3) -408*a(n-4) -3902*a(n-5) -15430*a(n-6) -42962*a(n-7) -94378*a(n-8) -169172*a(n-9) -254731*a(n-10) -324792*a(n-11) -346186*a(n-12) -306142*a(n-13) -226049*a(n-14) -101410*a(n-15) -32004*a(n-16) +9038*a(n-17) +56744*a(n-18) +18514*a(n-19) -78727*a(n-20) +278126*a(n-21) -491637*a(n-22) +664706*a(n-23) -600043*a(n-24) +363134*a(n-25) -86242*a(n-26) -73590*a(n-27) +88574*a(n-28) -49032*a(n-29) +20328*a(n-30) -6196*a(n-31) -2591*a(n-32) +4334*a(n-33) -1998*a(n-34) +278*a(n-35) +31*a(n-36) -40*a(n-37) +63*a(n-38) -34*a(n-39) +2*a(n-40) +4*a(n-41) -a(n-42)

A282882 Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

Original entry on oeis.org

5, 122, 2426, 34314, 480995, 6296324, 80114311, 995928444, 12166597450, 146641882796, 1748337983112, 20660129799214, 242334179025197, 2824644917951946, 32746711583513846, 377865004111687272

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Column 5 of A282885.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 86

Cf. A282885.

Empirical recurrence of order 86 (see link above)

A282883 Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

Original entry on oeis.org

12, 416, 13062, 286920, 6296324, 128768496, 2561487246, 49811090624, 951678283294, 17942875499666, 334648098052706, 6186474258515070, 113524128817623768, 2070195868615817640, 37549019984769514068

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Column 6 of A282885.

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

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

Cf. A282885.

A282884 Number of nX7 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

Original entry on oeis.org

26, 1414, 67676, 2342046, 80114311, 2561487246, 79687436788, 2422749969094, 72384911847530, 2134206947210504, 62249002221009867, 1799694062835383562, 51649085124007452943, 1473029187027581364502, 41785825649251975653356

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Column 7 of A282885.

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

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

Cf. A282885.

A282878 Number of n X n 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

Original entry on oeis.org

0, 2, 74, 3762, 480995, 128768496, 79687436788, 115172557654616, 393143666098549156, 3196549492640753656296, 62216948503916625663186184

Offset: 1

R. H. Hardin, Feb 24 2017

nonn

Diagonal of A282885.

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

Cf. A282885.

cp's OEIS Frontend

A282879 Number of nX2 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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A282880 Number of nX3 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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A282881 Number of nX4 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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A282882 Number of nX5 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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A282883 Number of nX6 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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A282884 Number of nX7 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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A282878 Number of n X n 0..1 arrays with no 1 equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element.

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