A280362 -id:A280362 - cp's OEIS frontend

A280358 Number of n X 3 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

4, 50, 571, 6727, 78800, 924579, 10844773, 127214104, 1492251709, 17504551617, 205333329586, 2408618523801, 28253780677867, 331424891961162, 3887708335839063, 45603925604339175, 534947030615649624

Offset: 1

R. H. Hardin, Jan 01 2017

nonn

Column 3 of A280362.

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

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

Cf. A280362.

Empirical: a(n) = 10*a(n-1) +26*a(n-2) -58*a(n-3) -99*a(n-4) -63*a(n-5) -25*a(n-6) +229*a(n-7) -3*a(n-8) -16*a(n-9) +12*a(n-10) +16*a(n-12).

A280359 Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

11, 285, 6727, 164326, 3992071, 97147710, 2363431872, 57503068637, 1399048151083, 34038954765446, 828169917765970, 20149430911202735, 490237018170118357, 11927499978469804063, 290196884767995060095

Offset: 1

R. H. Hardin, Jan 01 2017

nonn

Column 4 of A280362.

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

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

Cf. A280362.

Empirical: a(n) = 30*a(n-1) -103*a(n-2) -1092*a(n-3) +5847*a(n-4) +2804*a(n-5) -50379*a(n-6) +41079*a(n-7) -126386*a(n-8) +1514584*a(n-9) -1194277*a(n-10) -6905803*a(n-11) +6655712*a(n-12) +16213430*a(n-13) -21948067*a(n-14) -16861080*a(n-15) +41679338*a(n-16) +426137*a(n-17) -57615511*a(n-18) +28148770*a(n-19) +60186728*a(n-20) -41569682*a(n-21) -23465826*a(n-22) +95973316*a(n-23) -9699443*a(n-24) -206500242*a(n-25) -85311247*a(n-26) +112347612*a(n-27) +89204829*a(n-28) +124190867*a(n-29) +185283712*a(n-30) -74437936*a(n-31) -288002168*a(n-32) -164637824*a(n-33) +109790912*a(n-34) +171661568*a(n-35) +34990720*a(n-36) -45687040*a(n-37) -38017024*a(n-38) -10430464*a(n-39) +9265152*a(n-40) +5439488*a(n-41) +950272*a(n-42) -262144*a(n-43) -524288*a(n-44)

A280360 Number of nX5 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

30, 1617, 78800, 3992071, 201054068, 10144351660, 511688896140, 25812250379197, 1302084964081326, 65683250595897258, 3313367690989159234, 167141663155726686922, 8431401872254944607810, 425319079112261667548370

Offset: 1

R. H. Hardin, Jan 01 2017

nonn

Column 5 of A280362.

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

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

Cf. A280362.

A280361 Number of nX6 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

82, 9188, 924579, 97147710, 10144351660, 1061399606602, 111020011111453, 11613529410292966, 1214844953592240427, 127080650055334484381, 13293449766186695244141, 1390580270989675054905421

Offset: 1

R. H. Hardin, Jan 01 2017

nonn

Column 6 of A280362.

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

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

Cf. A280362.

cp's OEIS Frontend

A280358 Number of n X 3 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

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A280359 Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

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A280360 Number of nX5 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A280361 Number of nX6 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs