A250691 -id:A250691 - cp's OEIS frontend

A250686 Number of (n+1) X (3+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

2541, 13906, 74631, 383440, 1848953, 8474002, 37322413, 159438246, 665575403, 2731006288, 11064772389, 44421077632, 177194842907, 703795289106, 2787900969927, 11027407758154, 43593798115489, 172349301152440

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Column 3 of A250691.

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

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

Cf. A250691.

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17.

A250687 Number of (n+1)X(4+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

11150, 60508, 324648, 1670016, 8038566, 36673634, 160222342, 676640344, 2784280670, 11235235268, 44688274606, 175922640288, 687672281246, 2676084468860, 10388862354030, 40297745223480, 156374569711646

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Column 4 of A250691

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

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

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17

A250688 Number of (n+1)X(5+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

47002, 249512, 1315446, 6671458, 31728758, 143136866, 617657415, 2571646112, 10412478449, 41269021168, 160968910027, 620573782940, 2373117015149, 9027885707796, 34248252841075, 129817387985168, 492449247898701

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Column 5 of A250691

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

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

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17

A250689 Number of (n+1)X(6+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

193117, 995624, 5098590, 25235016, 117793753, 523260542, 2224688673, 9121206688, 36332194553, 141502429478, 541706838601, 2047265474206, 7665603013743, 28522048068276, 105725887121051, 391286691949576

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Column 6 of A250691

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

R. H. Hardin, Table of n, a(n) for n = 1..90

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17

A250690 Number of (n+1)X(7+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

780551, 3894542, 19218493, 92169818, 420283865, 1832718604, 7662909389, 30911828018, 121133941641, 463951270668, 1745661462155, 6479480240674, 23806631357499, 86830525247352, 315154449951319, 1140724783380058

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Column 7 of A250691

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

R. H. Hardin, Table of n, a(n) for n = 1..33

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17

A250684 Number of (n+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

104, 2920, 74631, 1670016, 31728758, 523260542, 7662909389

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Diagonal of A250691

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

cp's OEIS Frontend

A250686 Number of (n+1) X (3+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

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A250687 Number of (n+1)X(4+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

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A250688 Number of (n+1)X(5+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

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A250689 Number of (n+1)X(6+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

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A250690 Number of (n+1)X(7+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

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A250684 Number of (n+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction.

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