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.

A207854 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

9, 81, 289, 1369, 5929, 26569, 117649, 522729, 2319529, 10297681, 45711121, 202920025, 900780169, 3998665225, 17750499361, 78796419849, 349785896329, 1552737795921, 6892772417281, 30597768825625, 135826834143529
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 4 of A207858

Examples

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

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2) +18*a(n-4) +4*a(n-5) -2*a(n-6) -8*a(n-7) -a(n-8) +a(n-10)

A207853 Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 16, 102, 1369, 44121, 2934369, 298294290, 56804048896, 22612514662790, 17183745725983369, 23510773704878179041, 60748271137827940655041, 304386527035085508883292036, 2891218911926091087027201634564
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Diagonal of A207858

Examples

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

A207855 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

15, 225, 1071, 7289, 44121, 279219, 1737981, 10873197, 67902955, 424387041, 2651860269, 16571735565, 103552803445, 647076103565, 4043412030973, 25266419946873, 157884983254865, 986593269768561, 6165025417156933
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 5 of A207858

Examples

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

Formula

Empirical: a(n) = 8*a(n-1) -20*a(n-2) +24*a(n-3) +154*a(n-4) +164*a(n-5) +908*a(n-6) -48*a(n-7) +2963*a(n-8) -8406*a(n-9) -32288*a(n-10) -41552*a(n-11) -64967*a(n-12) +27432*a(n-13) +54104*a(n-14) +636016*a(n-15) +805740*a(n-16) +103162*a(n-17) -1914744*a(n-18) -3070336*a(n-19) -960103*a(n-20) +192624*a(n-21) +871096*a(n-22) -313232*a(n-23) +1362214*a(n-24) +2175596*a(n-25) +182480*a(n-26) -81648*a(n-27) -370246*a(n-28) +133416*a(n-29) -282032*a(n-30) -734512*a(n-31) -175129*a(n-32) +122484*a(n-33) +83948*a(n-34) -38680*a(n-35) +81164*a(n-36) +59916*a(n-37) +22876*a(n-38) +1920*a(n-39) -22169*a(n-40) +6538*a(n-41) -1744*a(n-42) -4288*a(n-43) +141*a(n-44) -560*a(n-45) +120*a(n-46) -50*a(n-48) +42*a(n-49) +a(n-52)

A207856 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

25, 625, 3969, 38809, 328329, 2934369, 25674489, 226171521, 1987822225, 17489798001, 153843588441, 1353352975569, 11904328570225, 104711812628641, 921054699347689, 8101789118783721, 71265503266440025, 626870990394918801
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 6 of A207858

Examples

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

Formula

Empirical: a(n) = 11*a(n-1) -37*a(n-2) +121*a(n-3) -21*a(n-4) +2641*a(n-5) +6843*a(n-6) -30571*a(n-7) -84560*a(n-8) -471184*a(n-9) -426278*a(n-10) -1373820*a(n-11) +2051903*a(n-12) +26912301*a(n-13) +68541147*a(n-14) +116439127*a(n-15) +105761250*a(n-16) +411627902*a(n-17) +506411542*a(n-18) -1394340468*a(n-19) -4035351553*a(n-20) -2796934243*a(n-21) +6810194567*a(n-22) +1912546547*a(n-23) +5774938205*a(n-24) +86757309157*a(n-25) +186971400121*a(n-26) +126014699047*a(n-27) -210332205964*a(n-28) -266559381252*a(n-29) -199775739314*a(n-30) -616593736744*a(n-31) -874400000528*a(n-32) -286406290452*a(n-33) +1261726945958*a(n-34) +1218711721868*a(n-35) +443553821062*a(n-36) +1141279215842*a(n-37) +1440778487564*a(n-38) +396749469394*a(n-39) -2219965850146*a(n-40) -1730435680798*a(n-41) -165367190996*a(n-42) -1060997215230*a(n-43) -1704087095390*a(n-44) -787072340194*a(n-45) +1782214877700*a(n-46) +1267557294366*a(n-47) -18388253018*a(n-48) +674391258522*a(n-49) +1455128066428*a(n-50) +596694031642*a(n-51) -1067371898290*a(n-52) -627595517886*a(n-53) +119973664196*a(n-54) -13806333786*a(n-55) -513097897536*a(n-56) -221011530244*a(n-57) +272859602066*a(n-58) +57269669464*a(n-59) +17439179524*a(n-60) -28174618340*a(n-61) +63295216290*a(n-62) +26492713856*a(n-63) -23312068927*a(n-64) -1696127527*a(n-65) -3771348873*a(n-66) +2505803643*a(n-67) -2610937185*a(n-68) -1742634611*a(n-69) +877779857*a(n-70) -48669399*a(n-71) +212135202*a(n-72) -66526498*a(n-73) +32057906*a(n-74) +54175994*a(n-75) -18037209*a(n-76) +3084957*a(n-77) -4482895*a(n-78) +632115*a(n-79) -296888*a(n-80) -166376*a(n-81) +91638*a(n-82) -9510*a(n-83) +14627*a(n-84) -2719*a(n-85) +989*a(n-86) -41*a(n-87) -77*a(n-88) -17*a(n-89) -3*a(n-90) +a(n-91)

A207857 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

40, 1600, 13230, 178088, 2047902, 24999522, 298294290, 3584335104, 42968437070, 515629329072, 6185911022388, 74218338931926, 890410143869610, 10682416271430446, 128158495357747566, 1537548202464027744
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 7 of A207858

Examples

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

A207859 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

10, 100, 370, 1369, 7289, 38809, 178088, 817216, 3976696, 19351201, 91961095, 437019025, 2096687880, 10059287616, 48075784344, 229765876921, 1099823682601, 5264542102681, 25183871849968, 120471522306304, 576445792593008
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 4 of A207858

Examples

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

Formula

Empirical: a(n) = 2*a(n-1) +30*a(n-3) +161*a(n-4) +45*a(n-5) +166*a(n-6) -749*a(n-7) -4860*a(n-8) -1352*a(n-9) +3048*a(n-10) +4635*a(n-11) +28540*a(n-12) +11318*a(n-13) -11422*a(n-14) -4202*a(n-15) -69991*a(n-16) -28677*a(n-17) +609*a(n-18) -20891*a(n-19) +65400*a(n-20) +5094*a(n-21) +7969*a(n-22) +10090*a(n-23) -24802*a(n-24) +1479*a(n-25) -2070*a(n-26) -1380*a(n-27) +3917*a(n-28) -350*a(n-29) -75*a(n-30) +41*a(n-31) -140*a(n-32) +16*a(n-33) +a(n-35) +a(n-36)

A207860 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

16, 256, 1232, 5929, 44121, 328329, 2047902, 12773476, 85393582, 570875449, 3711466941, 24129583569, 158646920796, 1043070030864, 6826658594148, 44678944061361, 292963768764021, 1920989217886281, 12586269890069730
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 5 of A207858

Examples

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

A207861 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

26, 676, 4238, 26569, 279219, 2934369, 24999522, 212984836, 1971051046, 18240933481, 163271339451, 1461412614321, 13258432080828, 120285003372304, 1085258011417172, 9791619223717321, 88545977352385817, 800724571304629609
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 6 of A207858

Examples

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

A207862 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

42, 1764, 14406, 117649, 1737981, 25674489, 298294290, 3465676900, 44249929850, 564985239025, 6946276116395, 85401792033481, 1066016616909398, 13306411967110084, 165079309220454794, 2047973443183647529
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 7 of A207858

Examples

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