A240381 -id:A240381 - cp's OEIS frontend

A240377 Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

2, 10, 44, 148, 636, 2430, 9648, 37946, 149336, 588102, 2315310, 9114874, 35884720, 141278356, 556180846, 2189677956, 8620404070, 33937808062, 133609043358, 526004415056, 2070820187636, 8152588623474, 32095829706144, 126357695287702

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Column 2 of A240381

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

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

Empirical: a(n) = 2*a(n-1) +11*a(n-2) -a(n-3) -39*a(n-4) -40*a(n-5) +3*a(n-6) +13*a(n-7) +64*a(n-8) +162*a(n-9) -220*a(n-10) +122*a(n-11) -38*a(n-12) -82*a(n-13) +60*a(n-14) for n>15

A240378 Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

4, 38, 330, 2066, 16994, 116030, 884792, 6273952, 46648918, 335571098, 2468592214, 17883911418, 130889355348, 951392168734, 6947056359884, 50571064277718, 368890128041664, 2687133002363550, 19592211767424272, 142760104420636614

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Column 3 of A240381

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

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

A240379 Number of nX4 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

4, 90, 1494, 17550, 281186, 3502886, 52375114, 672652728, 9771038498, 127878632630, 1824118827422, 24208448126400, 341050301141278, 4570912937279916, 63851040871974536, 861645931638541286

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Column 4 of A240381

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

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

A240380 Number of nX5 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

8, 366, 12234, 279886, 8802558, 207932244, 6169009514, 148090588518, 4275011910288, 104011573900208, 2947730099151186, 72619839200406266, 2029464330510629772, 50540971131672863686, 1396965866163201451210

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Column 5 of A240381

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

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

A240382 Number of 2 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

4, 10, 38, 90, 366, 878, 3606, 8666, 35602, 85550, 351418, 844394, 3468498, 8334126, 34233910, 82257450, 337887294, 811877790, 3334934438, 8013202282, 32915673442, 79089995358, 324876418346, 780615181818, 3206517628418, 7704641519326

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

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

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

Row 2 of A240381.

Empirical: a(n) = 12*a(n-2) - 24*a(n-4) + 31*a(n-6) - 16*a(n-8).

Empirical g.f.: 2*x*(1 - x)*(2 + 7*x + 2*x^2 - 13*x^3 - 10*x^4 + 9*x^5 + 10*x^6) / (1 - 12*x^2 + 24*x^4 - 31*x^6 + 16*x^8). - Colin Barker, Oct 27 2018

A240383 Number of 3Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

10, 44, 330, 1494, 12234, 57722, 477574, 2261528, 18754102, 88905970, 737608314, 3497413372, 29019200234, 137602592286, 1141759996940, 5414024874816, 44923190320370, 213018323989062, 1767534025443302, 8381357456668862

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Row 3 of A240381

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

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

Empirical: a(n) = 63*a(n-2) -1109*a(n-4) +7143*a(n-6) -395*a(n-8) -201246*a(n-10) +762860*a(n-12) +347011*a(n-14) -7366154*a(n-16) +11744674*a(n-18) +3758987*a(n-20) +10095295*a(n-22) -126415852*a(n-24) +204390541*a(n-26) -65238786*a(n-28) -59211883*a(n-30) -114625640*a(n-32) +381020006*a(n-34) -342073760*a(n-36) +16725276*a(n-38) +181283664*a(n-40) -110895680*a(n-42) +16492080*a(n-44) +1175136*a(n-46) +390464*a(n-48) for n>50

A240384 Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

22, 148, 2066, 17550, 279886, 2545618, 41758418, 386198428, 6402184552, 59522550860, 989951909274, 9219059734138, 153482631485554, 1430059273612710, 23815641376583332, 221934887827387424, 3696371174369294160

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Row 4 of A240381

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

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

A240385 Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

50, 636, 16994, 281186, 8802558, 157432290, 5145703760, 94223623272, 3126551352694, 57696575110386, 1924215336561216, 35602912537978540, 1189410681468072730, 22026730385148887712, 736286341896022349010

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Row 5 of A240381

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

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

A240386 Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

Original entry on oeis.org

114, 2430, 116030, 3502886, 207932244, 7149227810, 457988195982, 16510130379104, 1089482776890120, 39926182074801154, 2662563290796445766, 98136363869645133966, 6568593444605962737250, 242588570864262965105562

Offset: 1

R. H. Hardin, Apr 04 2014

nonn

Row 6 of A240381

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

R. H. Hardin, Table of n, a(n) for n = 1..63

cp's OEIS Frontend

A240377 Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240378 Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240379 Number of nX4 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240380 Number of nX5 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240382 Number of 2 X n 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240383 Number of 3Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240384 Number of 4Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240385 Number of 5Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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A240386 Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4.

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