A219421 -id:A219421 - cp's OEIS frontend

A219418 Unchanging value maps: number of n X 5 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 n X 5 array.

12, 160, 2121, 28154, 372560, 4934366, 65352789, 865523957, 11462977378, 151815415029, 2010639231109, 26628853182336, 352671832205165, 4670776468884680, 61859640739887596, 819267455394261112

Offset: 1

R. H. Hardin, Nov 19 2012

nonn

Column 5 of A219421.

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

R. H. Hardin, Table of n, a(n) for n = 1..39

Empirical: a(n) = 14*a(n-1) -17*a(n-2) +117*a(n-3) -355*a(n-4) +550*a(n-5) -1954*a(n-6) +1579*a(n-7) -1059*a(n-8) -1065*a(n-9) +1097*a(n-10) +8*a(n-11) -153*a(n-12) +45*a(n-13) -6*a(n-14) for n>15.

A219422 Unchanging value maps: number of 2 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 2 X n array.

Original entry on oeis.org

1, 7, 20, 57, 160, 454, 1292, 3676, 10452, 29724, 84548, 240480, 683968, 1945348, 5533040, 15737260, 44760324, 127308564, 362094824, 1029880752, 2929216636, 8331363064, 23696305892, 67397723860, 191694568548, 545223274608

Offset: 1

R. H. Hardin, Nov 19 2012

nonn

Row 2 of A219421.

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

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

Cf. A219421.

Empirical: a(n) = 2*a(n-1) + a(n-2) + 3*a(n-3) + 4*a(n-4) - 2*a(n-5) - 4*a(n-6) for n>8.

Empirical g.f.: x*(1 + 5*x + 5*x^2 + 7*x^3 + x^4 - 9*x^5 - 9*x^6 - 2*x^7) / ((1 + 2*x^2)*(1 - 2*x - 3*x^2 + x^3 + 2*x^4)). - Colin Barker, Jul 26 2018

A219423 Unchanging value maps: number of 3 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 3 X n array.

Original entry on oeis.org

1, 21, 93, 453, 2121, 9926, 46776, 220655, 1041073, 4909754, 23155430, 109215035, 515130861, 2429644852, 11459531527, 54049709552, 254929619681, 1202393496717, 5671171946685, 26748483522662, 126161124832462, 595047865009759

Offset: 1

R. H. Hardin, Nov 19 2012

nonn

Row 3 of A219421.

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

R. H. Hardin, Table of n, a(n) for n = 1..94

Cf. A219421.

Empirical: a(n) = 4*a(n-1) +a(n-2) +7*a(n-3) +36*a(n-4) -62*a(n-5) -78*a(n-6) +88*a(n-7) -121*a(n-8) -110*a(n-9) +325*a(n-10) -31*a(n-11) -175*a(n-12) +320*a(n-13) -17*a(n-14) -193*a(n-15) +107*a(n-16) -108*a(n-17) +7*a(n-18) +a(n-19) -46*a(n-20) +22*a(n-21) +10*a(n-22) +6*a(n-23) +8*a(n-24) for n>26.

A219425 Unchanging value maps: number of 5 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 5 X n array.

Original entry on oeis.org

1, 200, 2043, 28888, 372560, 4775307, 61543422, 796901866, 10332516216, 133871792745, 1733790943515, 22454270113272, 290832016789657, 3766998295859184, 48791165925094356, 631950081288077455

Offset: 1

R. H. Hardin, Nov 19 2012

nonn

Row 5 of A219421.

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

R. H. Hardin, Table of n, a(n) for n = 1..28

Cf. A219421.

A219426 Unchanging value maps: number of 6Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 6Xn array.

Original entry on oeis.org

1, 616, 9573, 230726, 4934366, 104434119, 2222033208, 47581843251, 1020963792078, 21891250379251, 469088799364095, 10050616587252213, 215366263056062190, 4615153893061065333, 98898611652123318575

Offset: 1

R. H. Hardin Nov 19 2012

nonn

Row 6 of A219421

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

R. H. Hardin, Table of n, a(n) for n = 1..22

A219417 Unchanging value maps: number of n X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 n X n array.

Original entry on oeis.org

1, 7, 93, 3617, 372560, 104434119, 80311501599, 170240798669115, 992546861505827096, 15854777538297903063593

Offset: 1

R. H. Hardin, Nov 19 2012

nonn

Diagonal of A219421.

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

Cf. A219421.

A219419 Unchanging value maps: number of nX6 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nX6 array.

Original entry on oeis.org

21, 454, 9926, 218838, 4775307, 104434119, 2284814260, 49979133672, 1093274545336, 23915155162485, 523138192294728, 11443519356879492, 250324199629970283, 5475780830828522030, 119781370244825665556

Offset: 1

R. H. Hardin Nov 19 2012

nonn

Column 6 of A219421

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

A219420 Unchanging value maps: number of nX7 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nX7 array.

Original entry on oeis.org

37, 1292, 46776, 1709703, 61543422, 2222033208, 80311501599, 2901751767246, 104841170968961, 3788037696651135, 136865946433226693, 4945112174030871404, 178672220976540890315, 6455619364480811829503

Offset: 1

R. H. Hardin Nov 19 2012

nonn

Column 7 of A219421

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

A219424 Unchanging value maps: number of 4Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 4Xn array.

Original entry on oeis.org

1, 65, 436, 3617, 28154, 218838, 1709703, 13384389, 104853209, 820979848, 6427053212, 50316786006, 393951173336, 3084409493138, 24148717621856, 189066773722441, 1480260894360447, 11589420628440440

Offset: 1

R. H. Hardin Nov 19 2012

nonn

Row 4 of A219421

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

A219427 Unchanging value maps: number of 7Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 7Xn array.

Original entry on oeis.org

1, 1897, 44857, 1842766, 65352789, 2284814260, 80311501599, 2846763071615, 101180231915225, 3593093772421047, 127477235143792772, 4521648074836617071, 160404051239506589127, 5690803494953995807634

Offset: 1

R. H. Hardin Nov 19 2012

nonn

Row 7 of A219421

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

cp's OEIS Frontend

A219418 Unchanging value maps: number of n X 5 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 n X 5 array.

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A219422 Unchanging value maps: number of 2 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 2 X n array.

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A219423 Unchanging value maps: number of 3 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 3 X n array.

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A219425 Unchanging value maps: number of 5 X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 5 X n array.

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A219426 Unchanging value maps: number of 6Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 6Xn array.

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A219417 Unchanging value maps: number of n X n binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 n X n array.

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A219419 Unchanging value maps: number of nX6 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nX6 array.

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A219420 Unchanging value maps: number of nX7 binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 nX7 array.

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A219424 Unchanging value maps: number of 4Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 4Xn array.

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A219427 Unchanging value maps: number of 7Xn binary arrays indicating the locations of corresponding elements unequal to no horizontal or antidiagonal neighbor in a random 0..2 7Xn array.

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