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 1-8 of 8 results.

A208695 Number of nX5 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

14, 196, 844, 5524, 30160, 177872, 1016258, 5893862, 33954096, 196101046, 1131239666, 6529303650, 37678657206, 217454019512, 1254924033358, 7242248542264, 41795193995660, 241202360755898, 1391991001485634
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Column 5 of A208698

Examples

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

Formula

Empirical: a(n) = 10*a(n-1) -41*a(n-2) +99*a(n-3) -54*a(n-4) +222*a(n-5) +107*a(n-6) -2809*a(n-7) +15703*a(n-8) -29554*a(n-9) -26485*a(n-10) -138554*a(n-11) +107174*a(n-12) +243808*a(n-13) -1367008*a(n-14) +1878930*a(n-15) +11787153*a(n-16) +28387859*a(n-17) -11654201*a(n-18) -116060128*a(n-19) -161887465*a(n-20) -43052625*a(n-21) +217489267*a(n-22) +237767825*a(n-23) +339483549*a(n-24) +635187727*a(n-25) +779961542*a(n-26) +158646074*a(n-27) -1305459590*a(n-28) -1826116900*a(n-29) -2143712053*a(n-30) -2266449061*a(n-31) -2146804485*a(n-32) -907142429*a(n-33) +1769442177*a(n-34) +2956486787*a(n-35) +3813165689*a(n-36) +3886080877*a(n-37) +3709104044*a(n-38) +2891277498*a(n-39) +1059230498*a(n-40) +324109560*a(n-41) -353948301*a(n-42) -508605559*a(n-43) -570910317*a(n-44) -539214763*a(n-45) -159127087*a(n-46) -114226561*a(n-47) -9085576*a(n-48) +13387907*a(n-49) +14878843*a(n-50) +38197195*a(n-51) +1402920*a(n-52) +6339726*a(n-53) +2745382*a(n-54) -1041386*a(n-55) +853982*a(n-56) -1094117*a(n-57) +205272*a(n-58) -36409*a(n-59) -145835*a(n-60) +91591*a(n-61) -27556*a(n-62) -2644*a(n-63) +6457*a(n-64) -1971*a(n-65) +178*a(n-66) +95*a(n-67) -26*a(n-68)

A208696 Number of nX6 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

22, 484, 2706, 24086, 177488, 1415508, 10934750, 85697362, 667262804, 5207958764, 40607176444, 316775073124, 2470717292796, 19272100725330, 150320036967880, 1172492187142646, 9145360490517122, 71333468695248480, 556397961419606324
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Column 6 of A208698

Examples

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

A208697 Number of nX7 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

35, 1225, 8977, 109599, 1103081, 12014735, 126827983, 1356513169, 14425723357, 153741350353, 1637205937955, 17441454604351, 185777794829329, 1978904120738349, 21078662513667499, 224526113423385269
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Column 7 of A208698

Examples

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

A208699 Number of 4Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

10, 100, 358, 1309, 5524, 24086, 109599, 506870, 2376964, 11224757, 53273404, 253567712, 1209244939, 5773573436, 27587164014, 131879534567, 630640340412, 3016276415808, 14428300026213, 69023041742528, 330213969177428
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Row 4 of A208698

Examples

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

Formula

Empirical: a(n) = 10*a(n-1) -19*a(n-2) -92*a(n-3) +320*a(n-4) +223*a(n-5) -1644*a(n-6) +308*a(n-7) +3927*a(n-8) -2262*a(n-9) -4540*a(n-10) +3797*a(n-11) +2137*a(n-12) -2578*a(n-13) -60*a(n-14) +622*a(n-15) -128*a(n-16) -28*a(n-17) +8*a(n-18) for n>19

A208700 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

16, 256, 1152, 5371, 30160, 177488, 1103081, 6990922, 45002090, 291703403, 1899852502, 12403724792, 81108030137, 530824116234, 3475943478340, 22768311915069, 149167204090078, 977385748598970, 6404564660109105
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Row 5 of A208698

Examples

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

Formula

Empirical: a(n) = 13*a(n-1) -16*a(n-2) -398*a(n-3) +1259*a(n-4) +4798*a(n-5) -21814*a(n-6) -28132*a(n-7) +191012*a(n-8) +69671*a(n-9) -998374*a(n-10) +79894*a(n-11) +3327301*a(n-12) -1054555*a(n-13) -7282308*a(n-14) +3255508*a(n-15) +10584275*a(n-16) -5481590*a(n-17) -10216108*a(n-18) +5674270*a(n-19) +6492348*a(n-20) -3730629*a(n-21) -2663480*a(n-22) +1556866*a(n-23) +678318*a(n-24) -401116*a(n-25) -99468*a(n-26) +59784*a(n-27) +7248*a(n-28) -4512*a(n-29) -192*a(n-30) +128*a(n-31) for n>32

A208701 Number of 6Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

26, 676, 3910, 23637, 177872, 1415508, 12014735, 104356568, 923279444, 8235619511, 73879113940, 664653206922, 5990740209831, 54051817052290, 488001087186844, 4407494366626123, 39816464814539414, 359742927867575360
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Row 6 of A208698

Examples

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

Formula

Empirical: a(n) = 26*a(n-1) -158*a(n-2) -1382*a(n-3) +18622*a(n-4) -2726*a(n-5) -773954*a(n-6) +2137776*a(n-7) +17201826*a(n-8) -83055266*a(n-9) -217296903*a(n-10) +1760160521*a(n-11) +1171071355*a(n-12) -24780285339*a(n-13) +10005245573*a(n-14) +249321424957*a(n-15) -285920221762*a(n-16) -1854743954652*a(n-17) +3297359901882*a(n-18) +10332502131910*a(n-19) -25182395378470*a(n-20) -42778930531840*a(n-21) +141488386034569*a(n-22) +125899728052985*a(n-23) -609949885665960*a(n-24) -220597358566925*a(n-25) +2059525006253211*a(n-26) -40011194809805*a(n-27) -5502762220042382*a(n-28) +1753141379940508*a(n-29) +11675701447985698*a(n-30) -6709795768433848*a(n-31) -19631096393236878*a(n-32) +16050719566638984*a(n-33) +25926067903712304*a(n-34) -28009638881000348*a(n-35) -26374004885117740*a(n-36) +37387829958914720*a(n-37) +19794293292796032*a(n-38) -38877116675526288*a(n-39) -9720211994065776*a(n-40) +31685587137209232*a(n-41) +1472677053516768*a(n-42) -20227150770914624*a(n-43) +2248731781438336*a(n-44) +10054887495122048*a(n-45) -2427920722772608*a(n-46) -3849012313372032*a(n-47) +1379769696658240*a(n-48) +1113946173483520*a(n-49) -531029766245248*a(n-50) -236316361665024*a(n-51) +146191374190336*a(n-52) +34656267521024*a(n-53) -29043125238272*a(n-54) -3030552760320*a(n-55) +4109630337024*a(n-56) +60238921728*a(n-57) -401151369216*a(n-58) +19085361152*a(n-59) +25476169728*a(n-60) -2312765440*a(n-61) -940310528*a(n-62) +112721920*a(n-63) +15204352*a(n-64) -2097152*a(n-65) for n>66

A208702 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

42, 1764, 12994, 101069, 1016258, 10934750, 126827983, 1510509752, 18362140414, 225190711489, 2778200486272, 34375762106094, 426142969015213, 5288048126067096, 65661068400142616, 815594644130811073
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Row 7 of A208698

Examples

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

A208694 Number of n X n 0..1 arrays avoiding 0 0 1 and 1 0 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 16, 98, 1309, 30160, 1415508, 126827983, 22125222702, 7392844742356, 4723174261254577, 5746602867110840996, 13284653021118899451246, 58277226038377671962460367, 484690813727478247761183804458
Offset: 1

Views

Author

R. H. Hardin Mar 01 2012

Keywords

Comments

Diagonal of A208698

Examples

			Some solutions for n=4
..1..0..1..1....1..0..1..0....0..1..1..1....0..0..0..0....1..1..0..1
..0..1..1..1....1..1..1..1....1..0..1..0....0..1..1..0....1..0..1..0
..0..1..1..1....1..1..1..1....1..0..1..0....0..1..1..0....1..0..1..0
..0..1..1..0....1..0..1..1....0..0..0..0....1..0..1..1....0..0..0..0
		
Showing 1-8 of 8 results.