A250676 -id:A250676 - cp's OEIS frontend

A250678 Number of (2+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.

520, 5154, 42422, 329226, 2406972, 16949262, 115965426, 777137322, 5127532140, 33440743748, 216192271674, 1388450185042, 8872367832376, 56479411574776, 358489567889570, 2270374738759036, 14354245060678584, 90635411405776404

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Row 2 of A250676

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

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

Empirical: a(n) = 19*a(n-1) -115*a(n-2) +64*a(n-3) +1793*a(n-4) -4621*a(n-5) -9264*a(n-6) +41507*a(n-7) +14863*a(n-8) -173352*a(n-9) +31915*a(n-10) +399081*a(n-11) -166415*a(n-12) -530154*a(n-13) +278712*a(n-14) +400256*a(n-15) -230016*a(n-16) -156992*a(n-17) +92352*a(n-18) +24192*a(n-19) -13824*a(n-20)

A250679 Number of (3+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

2512, 34630, 388916, 4008211, 38224684, 345255872, 2996016017, 25227877364, 207711004347, 1680947958659, 13425296521939, 106128580452188, 832257246775220, 6485280761219682, 50282187542669984, 388284093532906123

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Row 3 of A250676

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

R. H. Hardin, Table of n, a(n) for n = 1..210
R. H. Hardin, Empirical recurrence of order 58K

Empirical recurrence of order 58 (see link above)

A250680 Number of (4+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

11736, 210158, 3107446, 41503790, 505108522, 5726252240, 61498698426, 632850763138, 6297768773474, 61000028098516, 578059653008102, 5380105017634102, 49331581021446126, 446710039295094002

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Row 4 of A250676

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

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

A250681 Number of (5+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

53032, 1185860, 22408818, 379890972, 5803025694, 81461365899, 1070591197687, 13342424067588, 159420803863398, 1840705572880672, 20670321639041067, 226864703962443259, 2443264607642994051, 25901583586093676145

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Row 5 of A250676

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

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

A250682 Number of (6+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

233300, 6325144, 148821788, 3135539502, 59036115470, 1009432228498, 15971487229178, 237007870055660, 3338014574159778, 45012529914668338, 585376680395128804, 7382961201465611866, 90721080710158378470

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Row 6 of A250676

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

R. H. Hardin, Table of n, a(n) for n = 1..73

A250668 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, 5154, 388916, 41503790, 5803025694, 1009432228498, 210335029800118

Offset: 1

R. H. Hardin, Nov 26 2014

nonn

Diagonal of A250676.

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

Cf. A250676.

cp's OEIS Frontend

A250678 Number of (2+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.

Views

Author

Keywords

Comments

Examples

Links

Formula

A250679 Number of (3+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.

Views

Author

Keywords

Comments

Examples

Links

Formula

A250680 Number of (4+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.

Views

Author

Keywords

Comments

Examples

Links

A250681 Number of (5+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.

Views

Author

Keywords

Comments

Examples

Links

A250682 Number of (6+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.

Views

Author

Keywords

Comments

Examples

Links

A250668 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.

Views

Author

Keywords

Comments

Examples

Crossrefs