A302150 -id:A302150 - cp's OEIS frontend

A302145 Number of n X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

1, 1, 4, 17, 289, 15999, 1728734, 476725579, 338788296901, 600144995821877, 2721126689318370799, 31005436248594896441733, 885614872309613750483721526, 63247599647658758935122240950370, 11261549689102506355299411976654023890

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Diagonal of A302150.

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

R. H. Hardin, Table of n, a(n) for n = 1..16

Cf. A302150.

A302146 Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 2, 4, 10, 28, 84, 260, 816, 2576, 8152, 25824, 81840, 259408, 822304, 2606720, 8263456, 26195776, 83042752, 263252544, 834533120, 2645541888, 8386596224, 26586234880, 84280663296, 267176990976, 846974167552, 2684981361664

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Column 3 of A302150.

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

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

Cf. A302150.

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

A302147 Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 3, 11, 56, 289, 1529, 8152, 43676, 234707, 1264018, 6818793, 36833925, 199192142, 1078202540, 5840738361, 31660718262, 171717441011, 931774434881, 5057989479520, 27465580937300, 149183431937487, 810502022734382

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Column 5 of A302150.

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

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

Cf. A302150.

Empirical: a(n) = 14*a(n-1) -65*a(n-2) +88*a(n-3) +132*a(n-4) -362*a(n-5) -39*a(n-6) +438*a(n-7) -19*a(n-8) -208*a(n-9) -16*a(n-10) +26*a(n-11) +4*a(n-12)

A302148 Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 6, 34, 255, 2005, 15999, 128319, 1030709, 8283143, 66576711, 535145269, 4301582207, 34576983087, 277937230517, 2234120533079, 17958355078007, 144353239501301, 1160343364887311, 9327097456058015, 74973279259758837

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Column 6 of A302150.

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

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

Cf. A302150.

Empirical: a(n) = 13*a(n-1) -44*a(n-2) +25*a(n-3) +71*a(n-4) -44*a(n-5) -36*a(n-6) +16*a(n-7) for n>9

A302149 Number of nX7 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 10, 88, 1038, 12212, 145150, 1728734, 20614702, 245896061, 2933505447, 34997746793, 417542364526, 4981538616301, 59432971386326, 709074352774052, 8459725853179692, 100930145043164198, 1204163804664423408

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Column 7 of A302150.

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 51

Cf. A302150.

Empirical recurrence of order 51 (see link above)

A302151 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 1, 4, 5, 11, 34, 88, 271, 798, 2368, 7071, 21110, 63163, 188980, 565622, 1693239, 5069374, 15178832, 45451143, 136102762, 407567006, 1220499079, 3654940301, 10945255479, 32777313021, 98157159720, 293948595170, 880280943171

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Row 3 of A302150.

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

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

Cf. A302150.

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +6*a(n-3) -10*a(n-4) +11*a(n-5) -24*a(n-6) +11*a(n-7) -45*a(n-8) +22*a(n-9) -38*a(n-10) +39*a(n-11) -21*a(n-12) +68*a(n-13) +28*a(n-14) +73*a(n-15) -25*a(n-16) -16*a(n-17) -37*a(n-18) -11*a(n-19) -11*a(n-20) -16*a(n-21) -7*a(n-22) +3*a(n-24) +a(n-25) for n>27

A302152 Number of 4 X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 1, 10, 17, 56, 255, 1038, 4771, 21866, 102060, 476499, 2227609, 10440370, 48996354, 230159202, 1081764728, 5086004704, 23916740145, 112479869517, 529026120838, 2488273643127, 11703911410284, 55051772837784

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Row 4 of A302150.

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

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

Cf. A302150.

Empirical recurrence of order 85 (see link above).

A302153 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 1, 28, 65, 289, 2005, 12212, 83092, 578398, 4130639, 29972866, 219079327, 1604975900, 11775693817, 86495138703, 635792001674, 4675721910068, 34396180463177, 253073744882567, 1862205409753577, 13703542207469190

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Row 5 of A302150.

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

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

Cf. A302150.

A302154 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 1, 84, 257, 1529, 15999, 145150, 1482725, 15902462, 174951740, 1970629796, 22494667102, 258629509515, 2984220411587, 34476629235844, 398556898099009, 4609165601937455, 53315795633961409, 616815626588521291

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Row 6 of A302150.

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

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

Cf. A302150.

A302155 Number of 7 X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 1, 260, 1025, 8152, 128319, 1728734, 26544210, 439103633, 7478635467, 131386907715, 2344378104516, 42235221450124, 765312882037454, 13907043370373429, 253045503157946243, 4606517701125024786

Offset: 1

R. H. Hardin, Apr 02 2018

nonn

Row 7 of A302150.

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

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

Cf. A302150.

cp's OEIS Frontend

A302145 Number of n X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A302146 Number of nX3 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A302147 Number of nX5 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A302148 Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A302149 Number of nX7 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A302151 Number of 3Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A302152 Number of 4 X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Formula

A302153 Number of 5Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A302154 Number of 6Xn 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A302155 Number of 7 X n 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.