A266131 -id:A266131 - cp's OEIS frontend

A266126 Number of n X 3 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

4, 25, 77, 385, 2099, 9083, 48188, 249446, 1166325, 6288299, 31791039, 153857132, 834409385, 4178055126, 20594948568, 111887135749, 558869714981, 2784252991713, 15113219048778, 75548474928693, 378923024757908

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Column 3 of A266131.

			Some solutions for n=4
..1..1..1....1..1..0....0..2..0....2..1..0....0..0..0....0..1..1....0..2..1
..0..0..1....1..0..1....1..0..1....1..1..1....0..2..0....1..0..1....0..0..1
..0..2..0....2..1..1....1..1..2....2..0..1....1..0..1....1..1..2....0..2..0
..1..0..0....2..1..0....0..1..2....1..1..0....0..2..0....2..1..0....0..0..1

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

Cf. A266131.

Empirical: a(n) = a(n-1) +2*a(n-2) +205*a(n-3) -120*a(n-4) -258*a(n-5) -10662*a(n-6) -1620*a(n-7) +5336*a(n-8) +88936*a(n-9) +201296*a(n-10) +58144*a(n-11) +86672*a(n-12) -1097792*a(n-13) -831920*a(n-14) -2968704*a(n-15) -782336*a(n-16) -723152*a(n-17) +635968*a(n-18) +3427456*a(n-19) +337216*a(n-20) -204224*a(n-21) -289664*a(n-22) -453120*a(n-23) +20992*a(n-24) -1536*a(n-25) -12288*a(n-26) for n>27.

A266127 Number of n X 4 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

5, 49, 117, 572, 4336, 19750, 102201, 620508, 3041449, 16217839, 93738044, 476322405, 2546428711, 14301936049, 74467601183, 398781566199, 2199927226366, 11619003130461, 62319679692416, 340185096129345, 1811374715345253

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Column 4 of A266131.

			Some solutions for n=4
..2..1..0..1....1..0..2..1....1..0..0..0....1..0..0..1....0..0..1..1
..2..1..1..0....0..2..0..1....0..2..2..1....0..2..2..0....0..2..0..1
..1..2..2..1....0..2..1..2....0..2..1..1....1..0..2..1....0..2..1..0
..0..0..0..0....0..0..1..2....1..0..0..1....1..2..0..1....0..2..1..2

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

Cf. A266131.

A266128 Number of nX5 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

9, 149, 278, 3851, 62104, 326145, 4176690, 50677045, 367191341, 4343077168, 47557102126, 393190838218, 4413622529512, 46442066137513, 412349942225648, 4457850641709751, 46051121628392952, 427183303899673724

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Column 5 of A266131.

			Some solutions for n=4
..1..1..0..0..1....2..1..2..0..0....0..0..1..2..0....1..0..2..1..0
..1..0..2..1..1....0..1..2..3..0....1..2..3..2..1....0..1..1..3..2
..0..2..2..2..2....1..2..2..0..1....0..1..3..0..0....1..1..1..1..2
..0..0..1..1..0....1..0..0..1..1....2..1..1..2..1....1..0..1..1..0

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

Cf. A266131.

A266129 Number of nX6 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

16, 625, 1959, 44623, 1285961, 13689944, 311260836, 6688962679, 100184677192, 2265417750456, 45483452144968, 770435712461338, 16815081540198455, 333162387132057777, 5991913305292420418, 126615975061832318833

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Column 6 of A266131.

			Some solutions for n=4
..0..2..1..1..1..1....0..1..1..0..2..1....1..0..1..2..1..0....0..2..1..1..2..0
..1..0..2..2..0..0....2..3..2..3..0..1....1..1..2..1..0..1....1..0..2..2..0..1
..0..1..3..2..0..0....1..1..2..2..1..0....0..2..2..0..1..2....1..1..2..3..1..2
..1..0..1..2..1..1....0..0..1..1..0..1....1..0..0..2..1..2....0..1..2..0..1..2

R. H. Hardin, Table of n, a(n) for n = 1..74

Cf. A266131.

A266132 Number of 2Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

1, 9, 25, 49, 149, 625, 2141, 5433, 17269, 65249, 214877, 600025, 1934485, 6961153, 22488637, 66171721, 214994149, 746222545, 2392193165, 7273608601, 23705004725, 80233190113, 256613628509, 797094034921, 2598493640773, 8647653815601

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Row 2 of A266131.

			Some solutions for n=4
..1..2..0..1....1..1..1..2....1..1..1..1....1..1..0..1....0..2..0..1
..0..0..1..1....0..0..1..2....1..0..0..1....1..0..2..0....1..0..1..1

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

Cf. A266131.

Empirical: a(n) = a(n-1) +8*a(n-3) +80*a(n-4) -40*a(n-5) -52*a(n-6) -112*a(n-7) -1204*a(n-8) +292*a(n-9) +64*a(n-10) -880*a(n-11) +4016*a(n-12) -2112*a(n-13) -1152*a(n-14) +1024*a(n-15) -4608*a(n-16) +4608*a(n-17)

A266133 Number of 3Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

1, 20, 77, 117, 278, 1959, 11044, 36730, 123887, 598383, 2919993, 11429093, 43919671, 194434626, 880889564, 3627851352, 14690154222, 63196827262, 276336307138, 1159331148853, 4807640087709, 20468995961561, 88006303609494

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Row 3 of A266131.

			Some solutions for n=4
..1..1..1..1....1..2..0..0....2..1..1..2....1..2..0..1....2..1..2..0
..1..0..0..2....1..0..0..0....0..1..1..0....1..0..2..0....1..1..0..0
..0..2..1..1....1..1..2..1....2..1..1..2....1..1..0..0....1..0..2..1

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 77

Cf. A266131.

Empirical recurrence of order 77 (see link above)

A266134 Number of 4Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

1, 61, 385, 572, 3851, 44623, 347576, 1650710, 12360130, 106235031, 807578953, 5406175833, 41246496374, 328408364493, 2509089355110, 18435763834038, 141054581587168, 1100340622468942, 8442342552511565, 63751061176641632

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Row 4 of A266131.

			Some solutions for n=4
..0..1..1..0....0..0..0..0....1..0..1..2....1..2..0..1....2..1..1..0
..2..3..2..2....1..2..2..0....1..1..1..2....1..0..2..0....0..1..1..2
..2..1..1..0....1..1..0..1....1..1..0..1....2..1..0..0....1..2..2..1
..2..1..0..1....1..0..2..0....1..0..2..0....2..1..2..0....0..0..0..0

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

Cf. A266131.

A266135 Number of 5Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

1, 189, 2099, 4336, 62104, 1285961, 16386099, 124675418, 1670106261, 27030614673, 364728678843, 4110151431884, 55582288536407, 820578817704699, 11258792567726911, 142486826279283951, 1934013157303232327

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Row 5 of A266131.

			Some solutions for n=4
..2..1..1..1....1..0..0..1....1..2..1..1....1..0..1..2....2..1..0..1
..2..1..0..0....1..1..1..1....0..0..0..1....2..1..1..2....2..1..1..0
..1..3..2..0....1..1..1..1....0..2..1..1....0..1..2..2....2..3..2..2
..0..0..2..1....1..0..0..2....1..2..2..1....2..2..1..2....0..1..1..2
..0..0..0..1....0..2..1..1....0..0..0..0....0..1..1..0....1..0..1..2

R. H. Hardin, Table of n, a(n) for n = 1..83

Cf. A266131.

A266125 Number of n X n integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

1, 9, 77, 572, 62104, 13689944, 10444421518

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Diagonal of A266131.

			Some solutions for n=4
..0..0..0..0....2..1..1..0....1..1..0..0....1..1..0..0....1..0..1..2
..0..0..0..0....2..1..0..2....1..0..2..0....1..0..2..0....1..1..1..2
..0..0..2..1....1..0..1..1....1..1..0..0....0..1..2..3....1..1..0..1
..1..1..2..0....0..1..1..2....2..1..1..1....2..1..2..0....1..0..2..0

Cf. A266131.

A266130 Number of nX7 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

Original entry on oeis.org

25, 2141, 11044, 347576, 16386099, 325554385, 10444421518, 364864463172, 9780785065374, 322718526988333, 10659390930051828, 315717305995251778

Offset: 1

R. H. Hardin, Dec 21 2015

nonn

Column 7 of A266131.

			Some solutions for n=3
..1..1..1..2..1..2..0....1..2..3..2..1..1..0....1..1..1..2..0..2..1
..2..0..0..3..2..0..1....1..0..3..2..1..0..1....0..0..2..1..1..0..0
..1..1..2..1..2..1..0....0..1..2..1..0..2..0....1..2..1..2..2..1..1

Cf. A266131.

cp's OEIS Frontend

A266126 Number of n X 3 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266127 Number of n X 4 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266128 Number of nX5 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266129 Number of nX6 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266132 Number of 2Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266133 Number of 3Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266134 Number of 4Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266135 Number of 5Xn integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266125 Number of n X n integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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A266130 Number of nX7 integer arrays with each element equal to the number of horizontal, diagonal and antidiagonal neighbors exactly one smaller than itself.

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