A229320 -id:A229320 - cp's OEIS frontend

A229313 Number of n X n 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(n+1) 0..3 array without adjacent equal elements in the latter.

4, 154, 34022, 33330044, 151503568022, 3239971166331308

Offset: 1

R. H. Hardin Sep 19 2013

nonn

Diagonal of A229320

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

A229314 Number of n X 1 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 2 0..3 array without adjacent equal elements in the latter.

Original entry on oeis.org

4, 14, 50, 176, 622, 2196, 7756, 27390, 96730, 341606, 1206400, 4260462, 15046040, 53135856, 187651986, 662702554, 2340367858, 8265128408, 29188722358, 103081461140, 364037435444, 1285616763070, 4540221143674, 16034022443998

Offset: 1

R. H. Hardin, Sep 19 2013

nonn

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

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

Column 1 of A229320.

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

Empirical g.f.: 2*x*(1 + x)*(2 - x + x^2) / (1 - 3*x - 2*x^2 + x^3 - 2*x^4). - Colin Barker, Sep 14 2018

A229315 Number of nX2 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X3 0..3 array without adjacent equal elements in the latter.

Original entry on oeis.org

14, 154, 1494, 13968, 129766, 1203222, 11146054, 103236194, 956057048, 8853833056, 81991894696, 759294338246, 7031507356914, 65115840648102, 603010344430850, 5584224380804470, 51713144710842856, 478893600594242612

Offset: 1

R. H. Hardin Sep 19 2013

nonn

Column 2 of A229320

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

R. H. Hardin, Table of n, a(n) for n = 1..176

Empirical: a(n) = 12*a(n-1) -12*a(n-2) -170*a(n-3) +413*a(n-4) +360*a(n-5) -2500*a(n-6) +4761*a(n-7) -7424*a(n-8) +8095*a(n-9) +1067*a(n-10) -10948*a(n-11) +5811*a(n-12) -5685*a(n-13) -5667*a(n-14) +43767*a(n-15) -42200*a(n-16) +63250*a(n-17) -114786*a(n-18) +139663*a(n-19) -210040*a(n-20) +242074*a(n-21) +11485*a(n-22) -229841*a(n-23) +246874*a(n-24) -495364*a(n-25) +424756*a(n-26) -414970*a(n-27) +601244*a(n-28) -811641*a(n-29) +1009456*a(n-30) -1380235*a(n-31) +1228145*a(n-32) -674904*a(n-33) +313339*a(n-34) +511282*a(n-35) -710123*a(n-36) +664496*a(n-37) -457843*a(n-38) +191690*a(n-39) +55758*a(n-40) -66502*a(n-41) +150610*a(n-42) +1481*a(n-43) +19304*a(n-44) -48928*a(n-45) +40006*a(n-46) -47878*a(n-47) -42105*a(n-48) -11482*a(n-49) -12568*a(n-50) +16105*a(n-51) +103*a(n-52) +5809*a(n-53) -2122*a(n-54) +4423*a(n-55) +601*a(n-56) -1525*a(n-57) -384*a(n-58) -1331*a(n-59) -98*a(n-60) +157*a(n-61) +5*a(n-62) +86*a(n-63) +11*a(n-64) -2*a(n-65)

A229316 Number of nX3 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X4 0..3 array without adjacent equal elements in the latter.

Original entry on oeis.org

50, 1494, 34022, 717882, 14972226, 310664552, 6441333794, 133479301256, 2765778769420, 57304490833172, 1187283470159260, 24598916041468848, 509655373324270570, 10559338935801406840, 218774498705110449478

Offset: 1

R. H. Hardin Sep 19 2013

nonn

Column 3 of A229320

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

R. H. Hardin, Table of n, a(n) for n = 1..122

A229317 Number of nX4 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X5 0..3 array without adjacent equal elements in the latter.

Original entry on oeis.org

176, 13968, 717882, 33330044, 1520769276, 69027667944, 3129534386120, 141829123448362, 6426529323002908, 291187328893574164, 13193327853132680288, 597771666844708003058, 27084059447325490757312

Offset: 1

R. H. Hardin Sep 19 2013

nonn

Column 4 of A229320

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

R. H. Hardin, Table of n, a(n) for n = 1..36

A229318 Number of nX5 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X6 0..3 array without adjacent equal elements in the latter.

Original entry on oeis.org

622, 129766, 14972226, 1520769276, 151503568022, 14999158146398, 1483911991489430, 146719495041090648, 14506097057297691402

Offset: 1

R. H. Hardin Sep 19 2013

nonn

Column 5 of A229320

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

A229319 Number of nX6 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X7 0..3 array without adjacent equal elements in the latter.

Original entry on oeis.org

2196, 1203222, 310664552, 69027667944, 14999158146398, 3239971166331308

Offset: 1

R. H. Hardin Sep 19 2013

nonn

Column 6 of A229320

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

cp's OEIS Frontend

A229313 Number of n X n 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(n+1) 0..3 array without adjacent equal elements in the latter.

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A229314 Number of n X 1 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 2 0..3 array without adjacent equal elements in the latter.

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A229315 Number of nX2 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X3 0..3 array without adjacent equal elements in the latter.

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A229316 Number of nX3 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X4 0..3 array without adjacent equal elements in the latter.

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A229317 Number of nX4 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X5 0..3 array without adjacent equal elements in the latter.

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A229318 Number of nX5 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X6 0..3 array without adjacent equal elements in the latter.

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A229319 Number of nX6 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X7 0..3 array without adjacent equal elements in the latter.

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