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.

A206878 Number of nX3 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

7, 49, 230, 1011, 4705, 22412, 105936, 497727, 2339729, 11013295, 51846666, 244013222, 1148355280, 5404522372, 25435928407, 119711433603, 563405871570, 2651594982047, 12479394172896, 58732688555813, 276417903263710
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 3 of A206883

Examples

			Some solutions for n=4
..1..0..1....1..1..1....0..1..1....0..1..1....1..0..0....1..0..0....0..0..1
..0..0..1....1..1..1....0..0..1....0..0..1....0..0..1....0..0..0....0..0..0
..0..1..1....0..1..1....0..0..1....1..0..0....0..0..1....0..1..1....1..1..0
..1..0..0....0..1..1....0..0..1....0..0..0....0..1..1....1..1..0....0..1..1
		

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +24*a(n-3) +8*a(n-4) +11*a(n-5) +32*a(n-6) -22*a(n-7) -44*a(n-8) +11*a(n-9) +13*a(n-10) -a(n-11) -a(n-12)

A206879 Number of n X 4 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

12, 144, 1011, 6478, 44879, 321393, 2276625, 15986104, 112334542, 790951091, 5570201912, 39212133425, 276007394747, 1942896002325, 13677110916246, 96279937841588, 677755568854937, 4771010567436598, 33585249323714265
Offset: 1

Views

Author

R. H. Hardin, Feb 13 2012

Keywords

Comments

Column 4 of A206883.

Examples

			Some solutions for n=4
..0..0..1..1....0..1..1..0....0..1..1..0....1..0..0..1....1..0..0..0
..1..1..0..1....0..1..1..1....0..1..1..1....1..1..0..0....0..1..1..0
..1..0..0..0....1..0..0..1....0..1..1..1....1..0..0..0....0..0..1..1
..0..0..0..0....1..0..0..0....1..0..1..1....1..0..0..1....1..0..1..1
		

Crossrefs

Cf. A206883.

Formula

Empirical: a(n) = 8*a(n-1) -18*a(n-2) +69*a(n-3) +92*a(n-4) -189*a(n-5) +404*a(n-6) -187*a(n-7) -4014*a(n-8) -682*a(n-9) +9084*a(n-10) +5101*a(n-11) -6052*a(n-12) -5594*a(n-13) -1393*a(n-14) -277*a(n-15) +1312*a(n-16) +1153*a(n-17) +533*a(n-18) +112*a(n-19) -87*a(n-20) -46*a(n-21) -32*a(n-22) -9*a(n-23) +3*a(n-24) +a(n-25).

A206880 Number of nX5 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

21, 441, 4705, 44879, 472412, 5179587, 56006452, 599130203, 6415489317, 68862978274, 739329103913, 7933883243105, 85128813219141, 913482746325836, 9802626037683613, 105191549603928895, 1128793872954895887
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 5 of A206883

Examples

			Some solutions for n=4
..1..1..0..1..1....0..1..1..1..0....1..0..1..1..0....1..0..1..1..0
..1..0..0..1..1....1..1..0..1..1....0..0..0..1..1....1..0..0..0..1
..0..0..1..1..1....1..0..0..1..1....0..0..0..1..1....0..0..0..0..0
..0..0..0..1..1....0..0..0..0..0....1..0..1..1..0....0..1..1..0..0
		

Formula

Empirical: a(n) = 13*a(n-1) -58*a(n-2) +347*a(n-3) +140*a(n-4) -530*a(n-5) +9303*a(n-6) -13514*a(n-7) -121746*a(n-8) -15323*a(n-9) +33707*a(n-10) +628740*a(n-11) +4819689*a(n-12) +602012*a(n-13) -24971113*a(n-14) -13357992*a(n-15) +40761516*a(n-16) +18020830*a(n-17) +237812*a(n-18) +65671414*a(n-19) -52609938*a(n-20) -104608842*a(n-21) -22319213*a(n-22) -34182852*a(n-23) +6860648*a(n-24) +108480290*a(n-25) +10214575*a(n-26) +135798774*a(n-27) -108129644*a(n-28) +67839752*a(n-29) -80003650*a(n-30) -10669415*a(n-31) +2001098*a(n-32) -14730061*a(n-33) +19683840*a(n-34) -5357218*a(n-35) +7501826*a(n-36) +833478*a(n-37) -2016577*a(n-38) +1994060*a(n-39) -1415538*a(n-40) +322598*a(n-41) +24377*a(n-42) -86458*a(n-43) +24377*a(n-44) +2403*a(n-45) -802*a(n-46) +255*a(n-47) -a(n-48) +20*a(n-49) -5*a(n-50) +a(n-51)

A206881 Number of nX6 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

37, 1369, 22412, 321393, 5179587, 87541530, 1455584860, 23905464739, 393067971811, 6480684234921, 106874325247350, 1761571690252448, 29031364788581620, 478487481722152310, 7886646984790650669
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 6 of A206883

Examples

			Some solutions for n=4
..0..1..1..1..0..0....0..0..0..1..1..0....1..1..1..0..0..0....0..1..1..1..0..0
..1..0..0..1..1..0....0..0..0..0..0..1....0..0..1..1..1..0....1..0..1..1..1..0
..0..0..0..1..1..0....1..1..1..0..0..1....0..0..0..0..1..1....1..0..0..0..1..1
..0..1..1..0..1..1....0..1..1..0..1..1....0..0..0..0..1..1....1..1..0..0..0..1
		

A206882 Number of nX7 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

65, 4225, 105936, 2276625, 56006452, 1455584860, 37121455086, 933389392995, 23502259683934, 593617743280100, 14997131474172367, 378662158472685372, 9559398762581848139, 241351966658699739066, 6093846582029230600582
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Column 7 of A206883

Examples

			Some solutions for n=4
..1..0..0..1..1..0..1....0..1..1..1..0..1..1....1..0..1..1..1..0..0
..0..1..1..0..0..1..1....1..0..0..0..1..1..0....0..1..1..1..1..0..1
..0..0..0..0..0..1..1....0..0..0..0..1..1..0....0..1..1..1..0..1..1
..1..0..0..0..0..0..0....0..0..0..1..1..1..0....0..0..1..1..0..0..1
		

A206877 Number of n X n 0..1 arrays avoiding 0 1 0 horizontally and 1 0 1 vertically.

Original entry on oeis.org

2, 16, 230, 6478, 472412, 87541530, 37121455086, 35861331864570, 81188767942820548, 433324879893854403222, 5417399373066905672590966, 158241198424834434935170407538, 10811858970416460513671922192330804
Offset: 1

Views

Author

R. H. Hardin Feb 13 2012

Keywords

Comments

Diagonal of A206883

Examples

			Some solutions for n=4
..1..0..0..1....1..0..0..0....0..1..1..1....1..0..1..1....0..0..1..1
..1..1..0..0....1..1..1..1....0..0..0..0....0..0..1..1....1..1..0..1
..1..0..0..0....1..0..1..1....1..0..0..0....0..1..1..1....1..0..0..0
..1..0..0..1....1..0..1..1....0..1..1..1....0..0..0..1....0..0..0..0
		
Showing 1-6 of 6 results.