A279494 -id:A279494 - cp's OEIS frontend

A279488 Number of n X 2 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

1, 0, 5, 18, 68, 235, 801, 2678, 8777, 28343, 90455, 285812, 895302, 2783602, 8598096, 26404831, 80671908, 245328807, 742945582, 2241375512, 6738536925, 20194613731, 60344058090, 179828931783, 534560389757, 1585341579329, 4691443265544

Offset: 1

R. H. Hardin, Dec 13 2016

nonn

Column 2 of A279494.

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

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

Cf. A279494.

Empirical: a(n) = 7*a(n-1) -15*a(n-2) +11*a(n-3) -8*a(n-4) -9*a(n-5) +34*a(n-6) +17*a(n-7) +30*a(n-8) +41*a(n-9) +a(n-10) -18*a(n-11) -24*a(n-12) -33*a(n-13) -24*a(n-14) -8*a(n-15) -a(n-16).

A279489 Number of nX3 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 5, 38, 254, 1433, 8330, 46095, 250440, 1332366, 6989712, 36235705, 185945098, 945895078, 4775688338, 23953618305, 119447804293, 592560152936, 2925941530150, 14387128139448, 70473511001771, 344006151796898

Offset: 1

R. H. Hardin, Dec 13 2016

nonn

Column 3 of A279494.

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

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

Cf. A279494.

Empirical: a(n) = 15*a(n-1) -87*a(n-2) +272*a(n-3) -624*a(n-4) +1167*a(n-5) -1375*a(n-6) +1464*a(n-7) -789*a(n-8) -1362*a(n-9) +1821*a(n-10) -5907*a(n-11) +6610*a(n-12) -315*a(n-13) +3501*a(n-14) +12667*a(n-15) -11622*a(n-16) -6744*a(n-17) -25975*a(n-18) -15276*a(n-19) +19746*a(n-20) +18848*a(n-21) +81336*a(n-22) +55014*a(n-23) -70070*a(n-24) -112530*a(n-25) -108033*a(n-26) -52409*a(n-27) +49242*a(n-28) +227127*a(n-29) +332239*a(n-30) +11925*a(n-31) -374757*a(n-32) -309097*a(n-33) -114708*a(n-34) -22170*a(n-35) +258011*a(n-36) +537372*a(n-37) +265353*a(n-38) -363395*a(n-39) -575142*a(n-40) -183579*a(n-41) +249255*a(n-42) +295275*a(n-43) +86565*a(n-44) -70251*a(n-45) -81003*a(n-46) -30351*a(n-47) +3177*a(n-48) +9021*a(n-49) +4779*a(n-50) +1403*a(n-51) +246*a(n-52) +24*a(n-53) +a(n-54) for n>55

A279490 Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

3, 18, 254, 2684, 26157, 246237, 2241332, 19885341, 172968364, 1481176019, 12518566165, 104634697841, 866300549164, 7113499311107, 57991161908834, 469750378139503, 3783568376847729, 30319325084628268, 241845032680119474

Offset: 1

R. H. Hardin, Dec 13 2016

nonn

Column 4 of A279494.

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

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

Cf. A279494.

A279491 Number of nX5 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

3, 68, 1433, 26157, 425588, 6559816, 98128162, 1427793365, 20331614084, 284582186755, 3927098316740, 53546568580206, 722667680151302, 9667043295761140, 128315967227062823, 1691593872181009527

Offset: 1

R. H. Hardin, Dec 13 2016

nonn

Column 5 of A279494.

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

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

Cf. A279494.

A279492 Number of nX6 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

9, 235, 8330, 246237, 6559816, 166229033, 4065077852, 96674459373, 2247110811000, 51300573165630, 1153861570049445, 25629843536958954, 563233840671681515, 12263515258020495816, 264870756665941964112

Offset: 1

R. H. Hardin, Dec 13 2016

nonn

Column 6 of A279494.

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

R. H. Hardin, Table of n, a(n) for n = 1..141

Cf. A279494.

A279493 Number of nX7 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

15, 801, 46095, 2241332, 98128162, 4065077852, 162346342126, 6294925767121, 238434528280477, 8863487201716422, 324449796535829989, 11723580027925010371, 418958469982919690628, 14829876008361939503733

Offset: 1

R. H. Hardin, Dec 13 2016

nonn

Column 7 of A279494.

			Some solutions for n=3
..0..1..1..0..0..0..0. .0..1..0..1..1..1..0. .0..0..0..0..1..0..1
..1..0..0..1..1..0..0. .0..1..1..0..1..0..0. .1..1..1..1..0..0..1
..0..1..1..0..1..1..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..58

Cf. A279494.

cp's OEIS Frontend

A279488 Number of n X 2 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

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A279489 Number of nX3 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

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A279490 Number of nX4 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

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A279491 Number of nX5 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

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A279492 Number of nX6 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

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A279493 Number of nX7 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

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