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 1-6 of 6 results.

A250950 Number of (n+1)X(n+1) 0..1 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

15, 392, 36016, 11633448, 13211127617, 52746349035592, 740399698245965774, 36539401198968631193728, 6339835499950780464168370698, 3867371786117427361119320198505328
Offset: 1

Views

Author

R. H. Hardin, Nov 28 2014

Keywords

Comments

Diagonal of A250956

Examples

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

Links

A250951 Number of (n+1) X (3+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

209, 2744, 36016, 472712, 6204344, 81431944, 1068793208, 14027896712, 184115958136, 2416519505288, 31716786410360, 416282400363400, 5463700975560056, 71711002733396360, 941205958384596856
Offset: 1

Views

Author

R. H. Hardin, Nov 28 2014

Keywords

Examples

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

Links

Crossrefs

Column 3 of A250956.

Formula

Empirical: a(n) = 15*a(n-1) - 24*a(n-2) - 8*a(n-3).
Empirical g.f.: x*(209 - 391*x - 128*x^2) / (1 - 15*x + 24*x^2 + 8*x^3). - Colin Barker, Nov 24 2018

A250952 Number of (n+1) X (4+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

780, 19208, 472712, 11633448, 286298344, 7045780240, 173396103624, 4267264603784, 105017049454880, 2584461405506568, 63603393841083832, 1565274567258578128, 38521285153870175304, 948005826546231120680
Offset: 1

Views

Author

R. H. Hardin, Nov 28 2014

Keywords

Examples

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

Links

Crossrefs

Column 4 of A250956.

Formula

Empirical: a(n) = 27*a(n-1) - 57*a(n-2) - 46*a(n-3) + 30*a(n-4).
Empirical g.f.: 4*x*(195 - 463*x - 361*x^2 + 240*x^3) / (1 - 27*x + 57*x^2 + 46*x^3 - 30*x^4). - Colin Barker, Nov 24 2018

A250953 Number of (n+1)X(5+1) 0..1 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

2911, 134456, 6204344, 286298344, 13211127617, 609622239024, 28130774228952, 1298083303266168, 59899533694064023, 2764039970645608136, 127545516428291433088, 5885536726506369363688, 271585732913285543900561
Offset: 1

Views

Author

R. H. Hardin, Nov 28 2014

Keywords

Comments

Column 5 of A250956

Examples

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

Links

Formula

Empirical: a(n) = 57*a(n-1) -516*a(n-2) +637*a(n-3) +2799*a(n-4) -3639*a(n-5) -100*a(n-6) +429*a(n-7)

A250954 Number of (n+1)X(6+1) 0..1 arrays with no 2X2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

10864, 941192, 81431944, 7045780240, 609622239024, 52746349035592, 4563772381621072, 394871276236514256, 34165447249322574280, 2956096975721586686992, 255770377182374037886152
Offset: 1

Views

Author

R. H. Hardin, Nov 28 2014

Keywords

Comments

Column 6 of A250956

Examples

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

Links

Formula

Empirical: a(n) = 103*a(n-1) -1452*a(n-2) +1999*a(n-3) +25412*a(n-4) -90159*a(n-5) +84285*a(n-6) +261*a(n-7) -20412*a(n-8) +4212*a(n-9)

A250955 Number of (n+1) X (7+1) 0..1 arrays with no 2 X 2 subblock having its maximum diagonal element less than its minimum antidiagonal element.

Original entry on oeis.org

40545, 6588344, 1068793208, 173396103624, 28130774228952, 4563772381621072, 740399698245965774, 120118108984608820672, 19487258188664690627928, 3161498585197751785301512, 512903006004112848693757874
Offset: 1

Views

Author

R. H. Hardin, Nov 28 2014

Keywords

Comments

Column 7 of A250956.

Examples

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

Links

Crossrefs

Cf. A250956.

Formula

Empirical: a(n) = 217*a(n-1) -9657*a(n-2) +124578*a(n-3) +170544*a(n-4) -10015311*a(n-5) +58649394*a(n-6) -123233697*a(n-7) -48475236*a(n-8) +586861054*a(n-9) -648215662*a(n-10) -98069529*a(n-11) +412774803*a(n-12) -157024008*a(n-13) -1439235*a(n-14) +9306900*a(n-15) -1445850*a(n-16).
Showing 1-6 of 6 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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