A301784 -id:A301784 - cp's OEIS frontend

A301779 Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

4, 32, 240, 1808, 13616, 102544, 772272, 5816080, 43801648, 329875856, 2484337584, 18709866512, 140906415920, 1061184377488, 7991916306096, 60188151652624, 453284726792752, 3413745694159760, 25709358766289328, 193620494140664336

Offset: 1

R. H. Hardin, Mar 26 2018

nonn

Column 3 of A301784.

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

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

Cf. A301784.

Empirical: a(n) = 7*a(n-1) +4*a(n-2)

A301778 Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 8, 240, 25872, 10033408, 14004742144, 70356843337600, 1272146363687760896, 82788264567204704083456, 19391044190172624196057083904, 16346860632996556855602568035358720

Offset: 1

R. H. Hardin, Mar 26 2018

nonn

Diagonal of A301784.

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

R. H. Hardin, Table of n, a(n) for n = 1..13

Cf. A301784.

A301780 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 128, 1808, 25872, 369936, 5289488, 75632400, 1081436176, 15463010576, 221099215376, 3161406558992, 45203649489936, 646348354426128, 9241868742610448, 132145672330843920, 1889496507915005968

Offset: 1

R. H. Hardin, Mar 26 2018

nonn

Column 4 of A301784.

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

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

Cf. A301784.

Empirical: a(n) = 13*a(n-1) +20*a(n-2) -16*a(n-3) -64*a(n-4)

A301781 Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 512, 13616, 369936, 10033408, 272151040, 7381982784, 200232929792, 5431228387584, 147319630168320, 3995978796839936, 108389129977399296, 2940006465162900480, 79746354795922395136, 2163084053927246327808

Offset: 1

R. H. Hardin, Mar 26 2018

nonn

Column 5 of A301784.

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

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

Cf. A301784.

Empirical: a(n) = 24*a(n-1) +92*a(n-2) -156*a(n-3) -1088*a(n-4) -480*a(n-5) +3200*a(n-6) +3200*a(n-7) -4608*a(n-8)

A301782 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 2048, 102544, 5289488, 272151040, 14004742144, 720677122368, 37085631944448, 1908405940870656, 98205502293666304, 5053600235887926528, 260055442333825587456, 13382307648283890182400, 688646068647065495513344

Offset: 1

R. H. Hardin, Mar 26 2018

nonn

Column 6 of A301784.

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

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

Cf. A301784.

Empirical: a(n) = 43*a(n-1) +480*a(n-2) -1702*a(n-3) -30832*a(n-4) -11408*a(n-5) +814664*a(n-6) +1472112*a(n-7) -11834976*a(n-8) -36099456*a(n-9) +88414976*a(n-10) +486329344*a(n-11) -32384000*a(n-12) -2712928256*a(n-13) -1672069120*a(n-14) +2313256960*a(n-15) -301727744*a(n-16) -1018691584*a(n-17) +278921216*a(n-18) +973078528*a(n-19) -234881024*a(n-20)

A301783 Number of nX7 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 8192, 772272, 75632400, 7381982784, 720677122368, 70356843337600, 6868652110439488, 670558705424435264, 65463930429261156928, 6390978398666846999104, 623925337422198984802880

Offset: 1

R. H. Hardin, Mar 26 2018

nonn

Column 7 of A301784.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 46

Cf. A301784.

Empirical recurrence of order 46 (see link above)

cp's OEIS Frontend

A301779 Number of nX3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

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A301778 Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

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A301780 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

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A301781 Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

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A301782 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

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A301783 Number of nX7 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

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Comments

Examples

Links

Crossrefs

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