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 1-9 of 9 results.

A184556 Number of (n+1) X 2 0..2 arrays with no 2 X 2 subblock summing to less than 4.

Original entry on oeis.org

50, 336, 2167, 14180, 92429, 603249, 3935721, 25680486, 167558680, 1093290051, 7133495992, 46544663377, 303694712145, 1981548052649, 12929209539882, 84360538526896, 550435849841567, 3591485193655532, 23433731463177813
Offset: 1

Views

Author

R. H. Hardin, Jan 17 2011

Keywords

Comments

Column 1 of A184564.

Examples

			Some solutions for 3 X 2:
..2..1....1..2....0..0....1..2....0..2....1..0....2..0....2..0....2..0....2..2
..2..1....2..0....2..2....1..1....2..1....2..2....1..1....1..2....1..2....2..1
..1..0....2..0....0..0....2..2....0..2....0..2....2..1....0..1....2..2....1..0

Links

Crossrefs

Cf. A184564.

Formula

Empirical: a(n) = 6*a(n-1) + 7*a(n-2) - 23*a(n-3) - 4*a(n-4) + 12*a(n-5).
Empirical g.f.: x*(50 + 36*x - 199*x^2 - 24*x^3 + 108*x^4) / ((1 + 2*x)*(1 - 8*x + 9*x^2 + 5*x^3 - 6*x^4)). - Colin Barker, Feb 27 2018

A184557 Number of (n+1)X3 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

336, 5736, 91157, 1486258, 24057629, 390354307, 6329171799, 102644935902, 1664547601646, 26993866274311, 437754652218346, 7099004652318411, 115123459690848087, 1866939760799593583, 30275877954690891176
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 2 of A184564

Examples

			Some solutions for 5X3
..0..0..1....0..0..2....0..1..0....0..0..0....0..1..1....0..1..1....0..0..2
..2..2..1....2..2..0....2..2..1....2..2..2....2..2..2....2..2..0....2..2..2
..1..1..2....0..2..0....2..0..2....2..1..1....0..2..0....0..2..0....1..1..1
..1..1..1....1..2..2....1..1..1....0..2..1....2..1..2....1..2..1....2..2..2
..1..2..2....1..2..0....2..0..2....2..2..1....2..1..0....2..1..0....2..1..1

Links

Formula

Empirical: a(n)=15*a(n-1)+43*a(n-2)-381*a(n-3)-42*a(n-4)+1696*a(n-5)-590*a(n-6)-2216*a(n-7)+1085*a(n-8)+858*a(n-9)-456*a(n-10)-88*a(n-11)+48*a(n-12)

A184558 Number of (n+1)X4 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

2167, 91157, 3436266, 134840527, 5228522011, 203570564774, 7915660174974, 307926979784837, 11976979258313503, 465872448754593695, 18120917050387510050, 704848019543121767190, 27416378429106168358674
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 3 of A184564

Examples

			Some solutions for 3X4
..2..0..2..2....2..2..2..0....1..1..1..2....0..1..1..0....1..2..1..1
..2..2..2..0....1..2..0..2....2..2..2..1....2..2..2..1....2..2..2..0
..1..0..1..1....1..2..2..2....1..1..0..1....2..1..0..1....1..2..1..2

Links

A184559 Number of (n+1)X5 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

14180, 1486258, 134840527, 12900566348, 1214657950233, 115000791536877, 10868641315040295, 1027803541995894568, 97176104485641628222, 9188347231740579769607, 868772129294612664475944
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 4 of A184564

Examples

			Some solutions for 3X5
..0..1..1..1..2....0..0..2..2..0....0..1..0..1..2....0..1..0..2..2
..2..1..1..2..1....2..2..1..2..0....1..2..2..1..2....1..2..2..1..2
..1..0..2..1..0....1..2..1..2..1....0..2..2..0..1....2..0..1..1..2

Links

A184560 Number of (n+1)X6 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

92429, 24057629, 5228522011, 1214657950233, 276510402290782, 63392707611948281, 14500045352224438869, 3319239109051464012589, 759618068036448896808407, 173856090342285473033998446
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 5 of A184564

Examples

			Some solutions for 3X6
..0..0..0..1..1..0....0..0..0..0..2..1....0..0..0..0..1..2....0..0..0..2..0..0
..2..2..2..2..2..2....2..2..2..2..1..1....2..2..2..2..1..1....2..2..2..2..2..2
..0..0..2..2..2..0....1..0..2..2..2..1....0..1..0..2..2..0....2..1..0..0..1..2

Links

A184561 Number of (n+1)X7 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

603249, 390354307, 203570564774, 115000791536877, 63392707611948281, 35245029137091490532, 19540724845064600039882, 10844219595929643673506107, 6016136514697924805072162487, 3337980836583341810657426070927
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 6 of A184564

Examples

			Some solutions for 3X7
..0..0..0..2..0..2..0....0..0..0..2..1..1..2....0..0..0..2..0..2..2
..2..2..2..0..2..2..0....2..2..2..0..2..2..0....2..2..2..0..2..1..2
..2..0..0..2..0..1..1....1..0..2..1..1..1..2....0..0..1..2..2..2..0

Links

A184562 Number of (n+1)X8 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

3935721, 6329171799, 7915660174974, 10868641315040295, 14500045352224438869, 19540724845064600039882, 26246732217663407375879655, 35294057223652471936332160677, 47442042992644990940725027802526
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 7 of A184564

Examples

			Some solutions for 3X8
..0..0..0..0..1..1..2..2....0..0..0..0..1..2..1..0....0..0..0..0..1..2..0..2
..2..2..2..2..1..2..1..1....2..2..2..2..2..1..1..2....2..2..2..2..2..2..2..2
..0..0..0..0..1..0..2..0....0..0..0..0..1..0..2..2....0..0..0..0..0..0..0..1

Links

A184563 Number of (n+1)X9 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

25680486, 102644935902, 307926979784837, 1027803541995894568, 3319239109051464012589, 10844219595929643673506107, 35294057223652471936332160677, 115019923806287297509943176811916
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Column 8 of A184564

Examples

			Some solutions for 3X9
..0..0..0..0..0..0..2..2..2....0..0..0..0..0..0..2..0..2
..2..2..2..2..2..2..1..2..1....2..2..2..2..2..2..2..2..1
..0..0..0..0..2..0..2..1..2....0..0..0..0..2..2..1..0..2

Links

A184555 Number of (n+1)X(n+1) 0..2 arrays with no 2X2 subblock summing to less than 4.

Original entry on oeis.org

50, 5736, 3436266, 12900566348, 276510402290782, 35245029137091490532, 26246732217663407375879655, 115019923806287297509943176811916, 2957519612846906106776158316962863659667
Offset: 1

Views

Author

R. H. Hardin Jan 17 2011

Keywords

Comments

Diagonal of A184564

Examples

			Some solutions for 3X3
..2..2..2....1..2..0....2..0..2....2..0..2....1..2..2....2..2..0....2..1..2
..2..2..2....2..1..1....1..2..2....1..2..1....2..1..1....2..1..2....2..2..2
..2..0..1....0..2..2....0..2..2....0..2..1....0..1..2....2..1..1....1..2..0
Showing 1-9 of 9 results.

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