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.

A300467 Number of n X 3 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 29, 160, 925, 5363, 31106, 180397, 1046223, 6067629, 35189573, 204083997, 1183597158, 6864341406, 39810152164, 230881321531, 1339009818730, 7765666285883, 45037438874738, 261197278600938, 1514828996788371
Offset: 1

Views

Author

R. H. Hardin, Mar 06 2018

Keywords

Comments

Column 3 of A300472.

Examples

			Some solutions for n=5
..0..0..0. .0..1..1. .0..0..1. .0..1..0. .0..0..0. .0..0..1. .0..1..0
..1..1..1. .1..0..1. .0..1..1. .1..1..0. .1..1..0. .0..0..1. .0..1..1
..0..0..0. .0..1..0. .0..0..0. .0..0..1. .1..1..0. .1..1..0. .0..0..1
..1..1..1. .0..0..1. .0..1..0. .1..0..1. .0..0..1. .0..1..0. .0..0..0
..1..0..1. .0..1..1. .0..1..1. .0..1..0. .1..0..1. .1..0..1. .1..1..1
		

Crossrefs

Cf. A300472.

Formula

Empirical: a(n) = 6*a(n-1) -a(n-2) -a(n-3) +a(n-4) -4*a(n-5) +a(n-6) -a(n-7).

A300468 Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 108, 925, 8608, 80914, 759100, 7121067, 66808673, 626787854, 5880428484, 55169285001, 517589818216, 4855948719471, 45557770236528, 427416051858041, 4009952208993844, 37620760026099796, 352952232638874508
Offset: 1

Views

Author

R. H. Hardin, Mar 06 2018

Keywords

Comments

Column 4 of A300472.

Examples

			Some solutions for n=5
..0..0..0..1. .0..0..1..0. .0..1..0..1. .0..0..1..0. .0..1..0..1
..0..1..0..0. .1..0..0..1. .1..1..0..1. .0..1..0..1. .0..1..0..1
..0..1..1..1. .0..1..1..0. .0..0..1..0. .0..1..0..1. .0..1..0..0
..0..0..0..1. .0..0..1..0. .1..0..1..1. .0..0..0..1. .1..1..1..0
..1..0..0..1. .1..0..0..1. .1..1..0..1. .1..1..0..1. .0..0..0..1
		

Crossrefs

Cf. A300472.

Formula

Empirical: a(n) = 9*a(n-1) +6*a(n-2) -25*a(n-3) +20*a(n-4) +29*a(n-5) -96*a(n-6) -202*a(n-7) -25*a(n-8) +97*a(n-9) +311*a(n-10) +107*a(n-11) -106*a(n-12) +1300*a(n-13) -663*a(n-14) +910*a(n-15) -317*a(n-16) +343*a(n-17) -96*a(n-18) +57*a(n-19) -29*a(n-20) -4*a(n-22)

A300469 Number of nX5 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 401, 5363, 80914, 1231578, 18735889, 284885784, 4332278363, 65881928079, 1001882710812, 15235864361246, 231695322340487, 3523444515242366, 53581838868285278, 814831465529877300, 12391331299090081281
Offset: 1

Views

Author

R. H. Hardin, Mar 06 2018

Keywords

Comments

Column 5 of A300472.

Examples

			Some solutions for n=5
..0..0..0..0..0. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..1
..0..1..1..1..0. .1..1..0..0..1. .0..1..0..1..1. .1..0..1..0..1
..0..0..0..1..0. .0..1..1..0..0. .0..1..0..1..0. .0..1..1..0..0
..1..1..0..1..1. .0..0..0..1..1. .1..1..0..0..1. .1..0..1..1..1
..0..0..1..0..0. .0..1..1..0..0. .0..1..1..0..1. .0..1..0..0..1
		

Crossrefs

Cf. A300472.

Formula

Empirical: a(n) = 17*a(n-1) -25*a(n-2) -81*a(n-3) +812*a(n-4) -1456*a(n-5) -2373*a(n-6) +9052*a(n-7) -4328*a(n-8) -35843*a(n-9) -126490*a(n-10) +529366*a(n-11) -372938*a(n-12) -1463695*a(n-13) +3880140*a(n-14) -4201537*a(n-15) -64467*a(n-16) -49909637*a(n-17) +101634894*a(n-18) +32591128*a(n-19) -282518813*a(n-20) +385942732*a(n-21) -790441603*a(n-22) +1407344220*a(n-23) -1110766093*a(n-24) +1076124597*a(n-25) -1249565509*a(n-26) +1621200774*a(n-27) -295679519*a(n-28) +289265669*a(n-29) +335943644*a(n-30) -740188593*a(n-31) +805266359*a(n-32) -155431714*a(n-33) -583221843*a(n-34) +312519183*a(n-35) -530943649*a(n-36) +513632872*a(n-37) -188455454*a(n-38) -165435389*a(n-39) +249871316*a(n-40) -51321046*a(n-41) -53981301*a(n-42) +61029765*a(n-43) -25843476*a(n-44) +286940*a(n-45) +2031723*a(n-46) -1981630*a(n-47) -562629*a(n-48) +722837*a(n-49) +100236*a(n-50) -133805*a(n-51) +113965*a(n-52) +107837*a(n-53) -88923*a(n-54) +46128*a(n-55) -15410*a(n-56) +3048*a(n-57) -216*a(n-58) for n>59

A300470 Number of nX6 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 1490, 31106, 759100, 18735889, 462538206, 11408562672, 281433652906, 6942908646999, 171280218101813, 4225436849045491, 104240370076371736, 2571581648449512936, 63440223592452588279, 1565053148367633815372
Offset: 1

Views

Author

R. H. Hardin, Mar 06 2018

Keywords

Comments

Column 6 of A300472.

Examples

			Some solutions for n=5
..0..0..0..1..1..1. .0..0..0..0..1..1. .0..0..0..1..0..1. .0..0..0..1..0..1
..0..1..0..0..0..1. .0..1..0..1..0..0. .0..1..0..1..1..0. .0..1..0..1..0..0
..0..1..1..1..1..0. .0..0..1..0..1..0. .0..1..1..0..1..0. .0..0..1..0..1..0
..0..0..1..0..1..0. .0..1..1..0..1..0. .0..0..1..1..0..1. .0..1..0..1..0..1
..0..1..0..1..0..0. .0..0..0..0..1..0. .0..0..1..0..0..1. .0..0..0..0..1..1
		

Crossrefs

Cf. A300472.

A300471 Number of n X 7 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 5536, 180397, 7121067, 284885784, 11408562672, 456303004550, 18253046515989, 730219136878799, 29212758892049864, 1168662232086807413, 46752555205748619684, 1870345397930689285305, 74823548553594183996315
Offset: 1

Views

Author

R. H. Hardin, Mar 06 2018

Keywords

Comments

Column 7 of A300472.

Examples

			Some solutions for n=5
..0..0..0..1..0..0..0. .0..0..0..0..1..0..0. .0..0..0..1..1..1..0
..0..1..0..1..1..0..1. .0..1..0..1..0..1..1. .0..1..0..1..0..0..1
..0..1..0..0..1..1..0. .0..1..0..0..1..0..0. .0..1..0..1..1..0..1
..0..0..1..0..0..1..1. .0..0..1..0..0..1..0. .0..0..1..0..0..1..0
..0..1..0..1..1..0..0. .0..1..0..1..1..0..0. .0..1..0..1..0..0..0
		

Crossrefs

Cf. A300472.

A300466 Number of n X n 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 8, 160, 8608, 1231578, 462538206, 456303004550, 1184061531948168, 8081950028633306006, 145086737722751262521230, 6849888315993282295524030922
Offset: 1

Views

Author

R. H. Hardin, Mar 06 2018

Keywords

Comments

Diagonal of A300472.

Examples

			Some solutions for n=5
..0..0..0..0..0. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..0..1
..1..1..0..1..1. .1..1..0..1..0. .0..1..1..0..1. .1..1..0..0..0
..0..0..1..0..0. .0..0..1..1..0. .0..0..1..1..0. .0..1..1..1..0
..0..1..0..1..1. .1..1..0..1..1. .1..0..0..1..1. .0..1..0..0..1
..0..0..0..1..1. .1..0..0..0..0. .1..1..0..1..0. .1..0..1..1..0
		

Crossrefs

Cf. A300472.
Showing 1-6 of 6 results.