A301906 -id:A301906 - cp's OEIS frontend

A301902 Number of n X 3 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

1, 2, 3, 7, 16, 43, 117, 330, 935, 2667, 7616, 21775, 62273, 178130, 509563, 1457727, 4170224, 11930147, 34129757, 97638522, 279324735, 799093699, 2286051744, 6539949991, 18709526921, 53524323778, 153122698291, 438054310967

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

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

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

Column 3 of A301906.

Empirical: a(n) = 3*a(n-1) +a(n-2) -4*a(n-3).

A301903 Number of nX5 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 3, 2, 8, 12, 64, 196, 864, 3236, 13280, 52260, 210400, 838180, 3358176, 13419044, 53698016, 214737444, 859037152, 3435930148, 13744070112, 54975406628, 219903024608, 879608603172, 3518440005088, 14073746039332, 56295006526944

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Column 5 of A301906.

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

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

Cf. A301906.

Empirical: a(n) = 4*a(n-1) +5*a(n-2) -20*a(n-3) -4*a(n-4) +16*a(n-5) for n>6

A301904 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 6, 7, 40, 92, 532, 1999, 10150, 46226, 234484, 1167106, 6013755, 31027951, 161979950, 848039052, 4458470286, 23481316334, 123866264459, 653972874084, 3454977358732, 18260006314624, 96532215568355, 510408646716334

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Column 6 of A301906.

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

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

Cf. A301906.

Empirical: a(n) = 3*a(n-1) +22*a(n-2) -23*a(n-3) -132*a(n-4) -102*a(n-5) -188*a(n-6) +202*a(n-7) +1241*a(n-8) +242*a(n-9) -1952*a(n-10) -662*a(n-11) +1583*a(n-12) +498*a(n-13) -772*a(n-14) -182*a(n-15) +220*a(n-16) +31*a(n-17) -22*a(n-18) -7*a(n-19) +a(n-20) for n>21

A301905 Number of nX7 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 10, 12, 96, 320, 1934, 8781, 49709, 253844, 1413100, 7620270, 42580016, 235818861, 1324997099, 7432214130, 41943560072, 236751899580, 1339917222874, 7587029374109, 43012592771281, 243943851904936, 1384324886282580

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Column 7 of A301906.

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

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

Cf. A301906.

Empirical: a(n) = 19*a(n-1) -129*a(n-2) +266*a(n-3) +1113*a(n-4) -7787*a(n-5) +16342*a(n-6) +7083*a(n-7) -129016*a(n-8) +332445*a(n-9) -231596*a(n-10) -894953*a(n-11) +2912737*a(n-12) -3222398*a(n-13) -2103447*a(n-14) +12042025*a(n-15) -15194193*a(n-16) -250412*a(n-17) +24253854*a(n-18) -27506576*a(n-19) +1889508*a(n-20) +22587616*a(n-21) -20220872*a(n-22) +2087728*a(n-23) +8489920*a(n-24) -6518528*a(n-25) +1174848*a(n-26) +1096960*a(n-27) -792192*a(n-28) +188672*a(n-29) -9216*a(n-30) for n>33

A301907 Number of 3Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 1, 3, 2, 2, 7, 12, 27, 62, 160, 387, 951, 2362, 5895, 14745, 36892, 92334, 231171, 578926, 1450251, 3633632, 9105130, 22816655, 57178265, 143291478, 359102513, 899959089, 2255439374, 5652518690, 14166233267, 35503222896, 88977846175

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Row 3 of A301906.

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

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

Cf. A301906.

Empirical: a(n) = 2*a(n-1) +a(n-2) +3*a(n-4) -a(n-6) -4*a(n-7) -17*a(n-8) -30*a(n-9) -27*a(n-10) -36*a(n-11) -6*a(n-12) +4*a(n-13) +22*a(n-14) +36*a(n-15) +46*a(n-16) +32*a(n-17) +22*a(n-18) -4*a(n-19) -11*a(n-20) -6*a(n-21) -19*a(n-22) -4*a(n-23) -9*a(n-24) +4*a(n-25) -a(n-26) +4*a(n-27) -a(n-28) +2*a(n-29) -a(n-30) for n>31

A301908 Number of 4Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 1, 7, 5, 8, 40, 96, 316, 1078, 3831, 13331, 46127, 161362, 564617, 1975369, 6914911, 24216868, 84826850, 297130258, 1040826424, 3646117344, 12772898193, 44745724111, 156753135377, 549139791596, 1923758528089, 6739359943131

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Row 4 of A301906.

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

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

Cf. A301906.

A301909 Number of 5Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 1, 16, 10, 12, 92, 320, 1588, 7234, 34477, 171770, 861562, 4318341, 21575848, 107657594, 537357962, 2682516710, 13395048430, 66897233633, 334110946467, 1668703731020, 8334274683849, 41625156594335, 207894886362394

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Row 5 of A301906.

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

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

Cf. A301906.

A301910 Number of 6Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 1, 43, 26, 64, 532, 1934, 14860, 86638, 568382, 4029337, 27834481, 195991786, 1379526983, 9716584311, 68484812620, 482477672626, 3399467195980, 23952754983718, 168772425373008, 1189219611175938, 8379671227164002

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Row 6 of A301906.

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

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

Cf. A301906.

A301911 Number of 7Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 1, 117, 65, 196, 1999, 8781, 104732, 770376, 7398173, 75183520, 712349998, 7178506389, 72042620797, 721879978606, 7250047119979, 72777298549367, 730558484014599, 7332580130417856, 73594615185044259, 738663477116841069

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Row 7 of A301906.

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

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

Cf. A301906.

A301901 Number of n X n 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 1, 3, 5, 12, 532, 8781, 952467, 81388360, 24626668920, 14235727386501, 14622615341736656, 38187293105036003115, 169994743921070851334774, 1720618701132822565695718755

Offset: 1

R. H. Hardin, Mar 28 2018

nonn

Diagonal of A301906.

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

Cf. A301906.

cp's OEIS Frontend

A301902 Number of n X 3 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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A301903 Number of nX5 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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A301904 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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A301905 Number of nX7 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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A301907 Number of 3Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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A301908 Number of 4Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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A301909 Number of 5Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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Keywords

Comments

Examples

Links

Crossrefs

A301910 Number of 6Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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Keywords

Comments

Examples

Links

Crossrefs

A301911 Number of 7Xn 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A301901 Number of n X n 0..1 arrays with every element equal to 0, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

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