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.

A301603 Number of nX3 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 2, 2, 8, 13, 26, 55, 154, 356, 884, 2161, 5440, 13511, 33780, 84398, 211338, 528999, 1325014, 3319005, 8315948, 20836784, 52214530, 130847203, 327910100, 821772985, 2059471558, 5161348174, 12935209836, 32417941793, 81245379630, 203616360639
Offset: 1

Views

Author

R. H. Hardin, Mar 24 2018

Keywords

Comments

Column 3 of A301608.

Examples

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

Crossrefs

Cf. A301608.

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +4*a(n-3) +2*a(n-4) -8*a(n-5) -17*a(n-6) -19*a(n-7) -9*a(n-8) +6*a(n-9) +21*a(n-10) +15*a(n-11) +11*a(n-12) -2*a(n-13) -2*a(n-14) -4*a(n-15) -a(n-16) -a(n-17) +a(n-18)

A301604 Number of nX4 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 3, 8, 25, 65, 226, 755, 2539, 8794, 30539, 106401, 371492, 1298761, 4544515, 15909548, 55710973, 195119181, 683443550, 2394043807, 8386437959, 29378680446, 102918338575, 360542635085, 1263055770396, 4424759215289, 15500920405007
Offset: 1

Views

Author

R. H. Hardin, Mar 24 2018

Keywords

Comments

Column 4 of A301608.

Examples

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

Crossrefs

Cf. A301608.

Formula

Empirical: a(n) = 3*a(n-1) +5*a(n-2) -4*a(n-3) -17*a(n-4) -19*a(n-5) -47*a(n-6) -34*a(n-7) +65*a(n-8) +269*a(n-9) +416*a(n-10) +777*a(n-11) +1045*a(n-12) +732*a(n-13) -1014*a(n-14) -3998*a(n-15) -8802*a(n-16) -14094*a(n-17) -17263*a(n-18) -13739*a(n-19) -2767*a(n-20) +17372*a(n-21) +41271*a(n-22) +65007*a(n-23) +75036*a(n-24) +65891*a(n-25) +34175*a(n-26) -15372*a(n-27) -68185*a(n-28) -112197*a(n-29) -136950*a(n-30) -125033*a(n-31) -86021*a(n-32) -20228*a(n-33) +39579*a(n-34) +93185*a(n-35) +118900*a(n-36) +106527*a(n-37) +72753*a(n-38) +33858*a(n-39) +4321*a(n-40) -26115*a(n-41) -36386*a(n-42) -32661*a(n-43) -31397*a(n-44) -25000*a(n-45) -13771*a(n-46) -5459*a(n-47) +1317*a(n-48) +8274*a(n-49) +9464*a(n-50) +5692*a(n-51) +2846*a(n-52) +908*a(n-53) -891*a(n-54) -1253*a(n-55) -776*a(n-56) -301*a(n-57) -55*a(n-58) +58*a(n-59) +71*a(n-60) +29*a(n-61) +9*a(n-62) -3*a(n-64) -3*a(n-65) +a(n-66)

A301605 Number of nX5 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 6, 13, 65, 330, 1297, 6393, 30904, 154041, 764894, 3804884, 18978589, 94697319, 472770928, 2360757090, 11789229577, 58877258002, 294049444613, 1468594070621, 7334774136424, 36633069686965, 182962072923069, 913796219872826
Offset: 1

Views

Author

R. H. Hardin, Mar 24 2018

Keywords

Comments

Column 5 of A301608.

Examples

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

Crossrefs

Cf. A301608.

A301606 Number of nX6 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 10, 26, 226, 1297, 8888, 60841, 421168, 2940940, 20639456, 145157471, 1021952648, 7197614571, 50704160874, 357234289578, 2517047832160, 17735602594473, 124970744650942, 880592489506775, 6205028171908948
Offset: 1

Views

Author

R. H. Hardin, Mar 24 2018

Keywords

Comments

Column 6 of A301608.

Examples

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

Crossrefs

Cf. A301608.

A301607 Number of nX7 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 21, 55, 755, 6393, 60841, 591585, 5880829, 58383932, 585233819, 5854941545, 58759934077, 589360075403, 5914609427757, 59355963113549, 595731234612875, 5979121155775603, 60011713256358774, 602331412174313879
Offset: 1

Views

Author

R. H. Hardin, Mar 24 2018

Keywords

Comments

Column 7 of A301608.

Examples

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

Crossrefs

Cf. A301608.

A301602 Number of n X n 0..1 arrays with every element equal to 0, 2 or 3 horizontally or vertically adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 2, 2, 25, 330, 8888, 591585, 83224304, 23865691820, 14092825824108
Offset: 1

Views

Author

R. H. Hardin, Mar 24 2018

Keywords

Comments

Diagonal of A301608.

Examples

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

Crossrefs

Cf. A301608.
Showing 1-6 of 6 results.