cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-8 of 8 results.

A255002 Coefficients of recurrence for rows and columns of A250544 and rows of A250691.

Original entry on oeis.org

-1, 30, -415, 3514, -20386, 85924, -272198, 661180, -1244717, 1822478, -2068955, 1802474, -1181760, 563888, -184752, 37152, -3456
Offset: 0

Views

Author

M. F. Hasler, Feb 11 2015

Keywords

Comments

The convention for signs and indices is such that A(n) = sum_{k=1..16} a(k)*A(n-k), where A is any row of A250691 (i.e., A250692 - A250698) or row or column of A250544 (i.e., A223069, A250538 - A250543).

Crossrefs

Cf. A250691, A250692 - A250698; A250544, A223069, A250538 - A250543.

Programs

  • PARI
    Vecrev(-denominator(ggf(A250538=b2v(readvec("/tmp/b250538.txt"))))) \\ using the "guess generating function" and "b-file to vector" scripts found on the OEIS wiki

A250538 Number of (n+1)X(2+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

1080, 10704, 79366, 491650, 2701872, 13657024, 64993652, 295871112, 1302924116, 5595784456, 23580939154, 97951328382, 402468021792, 1640200686104, 6643744925312, 26790344223060, 107678819237476, 431796331093984
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Column 2 of A250544

Examples

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

Links

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

A250543 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 x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

4206453, 64993652, 555362165, 3475227442, 18064444143, 83356429646, 355022719767, 1430573448548, 5544630982113, 20906908229344, 77309801208801, 281951865918318, 1018337944028139, 3653463640888634, 13050682406346451
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Column 7 of A250544

Examples

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

Links

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

A250537 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 x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

150, 10704, 644779, 27240292, 824599694, 19031828420, 355022719767, 5607306662836
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Diagonal of A250544

Examples

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

A250539 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 x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

6627, 79366, 644779, 4169584, 23289547, 117777788, 555362165, 2489782728, 10756619019, 45218540866, 186284270079, 756106728264, 3036114535027, 12099190503944, 47969168390489, 189564322191712, 747765014131475
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Column 3 of A250544

Examples

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

Links

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

A250540 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 x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

36552, 491650, 4169584, 27240292, 151170400, 752602024, 3475227442, 15210145612, 64036997144, 262068107390, 1050500245716, 4148232147580, 16207817815736, 62874459765364, 242824935032646, 935658630855012
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Column 4 of A250544.

Examples

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

Links

Crossrefs

Cf. A250544.

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16).

A250541 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 x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

187000, 2701872, 23289547, 151170400, 824599694, 4013192386, 18064444143, 76961701472, 315204675572, 1254564769204, 4890689086931, 18781896020328, 71371001739442, 269293563149046, 1011736459116935, 3793520599786824
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Column 5 of A250544

Examples

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

Links

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

A250542 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 x(i,j)-x(i-1,j) in the j direction.

Original entry on oeis.org

905440, 13657024, 117777788, 752602024, 4013192386, 19031828420, 83356429646, 345394150196, 1375930596944, 5328628464360, 20220736129384, 75618410690640, 279874213617366, 1028575074942300, 3763545764867642, 13740591719926652
Offset: 1

Views

Author

R. H. Hardin, Nov 24 2014

Keywords

Comments

Column 6 of A250544

Examples

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

Links

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)
Showing 1-8 of 8 results.

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