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 1-7 of 7 results.

A229385 Number of n X n 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(n+1) 0..1 array.

Original entry on oeis.org

4, 128, 19124, 10624396, 22494002188, 187243393024012, 6184286713271025676, 813778114811695225372684, 427490676925568251567286517772, 897390142311167244989919805371842572
Offset: 1

Views

Author

R. H. Hardin Sep 21 2013

Keywords

Comments

Diagonal of A229392

Examples

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

Links

A229386 Number of n X 2 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..1 array.

Original entry on oeis.org

14, 128, 1064, 8592, 68672, 546752, 4346752, 34537984, 274370048, 2179421184, 17311399936, 137504870400, 1092199604224, 8675313975296, 68907755405312, 547332071161856, 4347440512892928, 34531574742253568, 274283140633591808
Offset: 1

Views

Author

R. H. Hardin, Sep 21 2013

Keywords

Examples

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

Links

Crossrefs

Column 2 of A229392.

Formula

Empirical: a(n) = 12*a(n-1) - 36*a(n-2) + 32*a(n-3) - 16*a(n-4).
Empirical g.f.: 2*x*(1 - 2*x)*(7 - 6*x + 4*x^2) / (1 - 12*x + 36*x^2 - 32*x^3 + 16*x^4). - Colin Barker, Sep 14 2018

A229387 Number of n X 3 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 4 0..1 array.

Original entry on oeis.org

48, 1064, 19124, 319340, 5212236, 84210828, 1353901580, 21715025932, 347864379404, 5569247981580, 89135525871628, 1426390613032972, 22824041387196428, 365199107635675148, 5843302195296469004
Offset: 1

Views

Author

R. H. Hardin, Sep 21 2013

Keywords

Comments

Column 3 of A229392.

Examples

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

Links

Formula

Empirical: a(n) = 25*a(n-1) -152*a(n-2) +144*a(n-3) -368*a(n-4) +1888*a(n-5) -1536*a(n-6) for n>9.

A229388 Number of nX4 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X5 0..1 array.

Original entry on oeis.org

164, 8592, 319340, 10624396, 345788172, 11156280332, 358453456908, 11493734735884, 368171037655052, 11787417479938060, 377292467256164364, 12074880676656054284, 386420529239766859788, 12365846497044862074892
Offset: 1

Views

Author

R. H. Hardin Sep 21 2013

Keywords

Comments

Column 4 of A229392

Examples

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

Links

Formula

Empirical: a(n) = 49*a(n-1) -560*a(n-2) +544*a(n-3) -1568*a(n-4) +17920*a(n-5) -16384*a(n-6) for n>9

A229389 Number of nX5 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X6 0..1 array.

Original entry on oeis.org

560, 68672, 5212236, 345788172, 22494002188, 1451228983308, 93250181644300, 5979900142878732, 383094040360124428, 24530192376561401868, 1570321873470780080140, 100513065865910817914892
Offset: 1

Views

Author

R. H. Hardin Sep 21 2013

Keywords

Comments

Column 5 of A229392

Examples

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

Links

Formula

Empirical: a(n) = 101*a(n-1) -2532*a(n-2) +10624*a(n-3) -8192*a(n-4) for n>7

A229390 Number of nX6 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X7 0..1 array.

Original entry on oeis.org

1912, 546752, 84210828, 11156280332, 1451228983308, 187243393024012, 24062262212427788, 3086056460257853452, 395404788283905933324, 50636744827896225333260, 6483098981333181772333068
Offset: 1

Views

Author

R. H. Hardin Sep 21 2013

Keywords

Comments

Column 6 of A229392

Examples

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

Links

Formula

Empirical: a(n) = 193*a(n-1) -8384*a(n-2) +8320*a(n-3) -24704*a(n-4) +1073152*a(n-5) -1048576*a(n-6) for n>9

A229391 Number of nX7 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X8 0..1 array.

Original entry on oeis.org

6528, 4346752, 1353901580, 358453456908, 93250181644300, 24062262212427788, 6184286713271025676, 1586293889549249544204, 406490146565253022875660, 104112538108301161330114572, 26659345510937391379492372492
Offset: 1

Views

Author

R. H. Hardin Sep 21 2013

Keywords

Comments

Column 7 of A229392

Examples

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

Links

Formula

Empirical: a(n) = 385*a(n-1) -33152*a(n-2) +33024*a(n-3) -98560*a(n-4) +8486912*a(n-5) -8388608*a(n-6) for n>9
Showing 1-7 of 7 results.

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