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.

A206996 Number of nX4 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

12, 144, 1011, 6612, 38144, 211471, 1124120, 5856490, 29993573, 152063662, 764940884, 3828258995, 19086321346, 94907855054, 471032090907, 2334592278836, 11559687446670, 57197509727715, 282871139080418, 1398435823681688
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Column 4 of A207000

Examples

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

Formula

Empirical: a(n) = 10*a(n-1) -18*a(n-2) -96*a(n-3) +314*a(n-4) +205*a(n-5) -1435*a(n-6) +363*a(n-7) +2647*a(n-8) -1601*a(n-9) -2021*a(n-10) +1517*a(n-11) +728*a(n-12) -593*a(n-13) -121*a(n-14) +101*a(n-15) +7*a(n-16) -6*a(n-17)

A206997 Number of nX5 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

21, 441, 4705, 45932, 382349, 3032756, 22816988, 167677230, 1207025216, 8591341603, 60610129084, 425271661995, 2971839865977, 20712555115779, 144081095381243, 1000955841121092, 6947328909618473, 48188215073760186
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Column 5 of A207000

Examples

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

Formula

Empirical: a(n) = 18*a(n-1) -72*a(n-2) -470*a(n-3) +3911*a(n-4) +769*a(n-5) -69764*a(n-6) +99094*a(n-7) +628042*a(n-8) -1523144*a(n-9) -3140220*a(n-10) +11241633*a(n-11) +8300230*a(n-12) -50060099*a(n-13) -5933234*a(n-14) +146226346*a(n-15) -32419216*a(n-16) -293487699*a(n-17) +123234334*a(n-18) +417727459*a(n-19) -222384126*a(n-20) -431256120*a(n-21) +252100312*a(n-22) +327795585*a(n-23) -193166533*a(n-24) -184712091*a(n-25) +102596274*a(n-26) +76980256*a(n-27) -37919899*a(n-28) -23422618*a(n-29) +9646690*a(n-30) +5076967*a(n-31) -1644172*a(n-32) -754228*a(n-33) +178184*a(n-34) +72234*a(n-35) -11036*a(n-36) -3988*a(n-37) +296*a(n-38) +96*a(n-39)

A206998 Number of nX6 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

37, 1369, 22412, 329734, 3997768, 45723467, 490003769, 5103567157, 51807992828, 518750864780, 5136996763120, 50533275790875, 494596054748445, 4825211735184925, 46961657561060264, 456327124491932772
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Column 6 of A207000

Examples

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

Formula

Empirical: a(n) = 32*a(n-1) -256*a(n-2) -2153*a(n-3) +40592*a(n-4) -40605*a(n-5) -2321474*a(n-6) +9645809*a(n-7) +69942106*a(n-8) -499963020*a(n-9) -1108482903*a(n-10) +14903232661*a(n-11) +2658716352*a(n-12) -300926165719*a(n-13) +310069400782*a(n-14) +4399589173985*a(n-15) -8562759785325*a(n-16) -48104831116880*a(n-17) +135141655151082*a(n-18) +397977638915846*a(n-19) -1521146392877768*a(n-20) -2463640429210032*a(n-21) +13129176656899098*a(n-22) +10741125721107121*a(n-23) -90066982871083409*a(n-24) -24683775530522841*a(n-25) +501815917491267294*a(n-26) -63252765396519782*a(n-27) -2304054017602312318*a(n-28) +1012877132997186121*a(n-29) +8809335261890165239*a(n-30) -6162290594037200811*a(n-31) -28265795364480552488*a(n-32) +26196165704157578004*a(n-33) +76554898997805850330*a(n-34) -86990124464103499635*a(n-35) -175771135135863545891*a(n-36) +235545461959675166077*a(n-37) +343157556180343443286*a(n-38) -531570652655892961714*a(n-39) -570682593402521730444*a(n-40) +1012957992391385554327*a(n-41) +808886121830738664903*a(n-42) -1643852208251754894565*a(n-43) -976263777681567498848*a(n-44) +2285163272342414357916*a(n-45) +1000406155098588939672*a(n-46) -2732371042759022600063*a(n-47) -865295414813371328966*a(n-48) +2818179751614456174309*a(n-49) +624784350623520217530*a(n-50) -2511971715169857832217*a(n-51) -368528002169960320714*a(n-52) +1936989611033012774152*a(n-53) +169150109823796709335*a(n-54) -1292503146057886986570*a(n-55) -52069231488313526666*a(n-56) +746012134330221084168*a(n-57) +2296283828974100317*a(n-58) -372035029491147558774*a(n-59) +9775941784261301839*a(n-60) +160009125724265444710*a(n-61) -7900898171676875732*a(n-62) -59195816915777027599*a(n-63) +3997702027148390289*a(n-64) +18772000554469136821*a(n-65) -1536001088926422837*a(n-66) -5079957124868869861*a(n-67) +473146021233758752*a(n-68) +1166491389606953028*a(n-69) -119225272868152098*a(n-70) -225673681930866638*a(n-71) +24737176556631020*a(n-72) +36454331025476968*a(n-73) -4221997355935592*a(n-74) -4860643156971960*a(n-75) +588893987379552*a(n-76) +527013848010640*a(n-77) -66338056425480*a(n-78) -45547298884088*a(n-79) +5926986618144*a(n-80) +3052020811968*a(n-81) -408935001008*a(n-82) -152255842384*a(n-83) +20929108096*a(n-84) +5301042464*a(n-85) -744705600*a(n-86) -114436608*a(n-87) +16356096*a(n-88) +1147392*a(n-89) -165888*a(n-90)

A206999 Number of nX7 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

65, 4225, 105936, 2346621, 41429335, 683241763, 10432265840, 154004233160, 2204564726744, 31044446020755, 431344655622502, 5945601513772082, 81452204001027552, 1111514446777014206, 15124130993994618127
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Column 7 of A207000

Examples

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

A207001 Number of 4Xn 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

12, 144, 1020, 6612, 45932, 329734, 2346621, 16555996, 116824836, 825944298, 5841333854, 41296838816, 291917220483, 2063599965447, 14588455360112, 103131522271050, 729070029502689, 5154026289337418, 36435512589728099
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Row 4 of A207000

Examples

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

Formula

Empirical: a(n) = 12*a(n-1) -66*a(n-2) +302*a(n-3) -765*a(n-4) +1446*a(n-5) -323*a(n-6) -5615*a(n-7) +13155*a(n-8) -14780*a(n-9) -33360*a(n-10) +114407*a(n-11) -55387*a(n-12) -144528*a(n-13) +485368*a(n-14) -387119*a(n-15) -1329517*a(n-16) +1697828*a(n-17) +2024417*a(n-18) -2840081*a(n-19) -1775201*a(n-20) +2598810*a(n-21) +710729*a(n-22) -1248295*a(n-23) +112490*a(n-24) +169231*a(n-25) -221480*a(n-26) +97360*a(n-27) +61312*a(n-28) -26508*a(n-29) +917*a(n-30) -3775*a(n-31) -1940*a(n-32) +564*a(n-33) +66*a(n-34) +376*a(n-35) -3*a(n-36) -41*a(n-37) +9*a(n-38) -8*a(n-39) -a(n-40) +a(n-41)

A207002 Number of 5Xn 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

20, 400, 4120, 38144, 382349, 3997768, 41429335, 424457832, 4346355560, 44618565989, 458351897996, 4706379771012, 48313078951832, 495981142972847, 5092092213139815, 52279138123556110, 536727196987498285
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Row 5 of A207000

Examples

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

Formula

Empirical: a(n) = 20*a(n-1) -190*a(n-2) +1376*a(n-3) -6371*a(n-4) +21419*a(n-5) -33774*a(n-6) -71115*a(n-7) +567356*a(n-8) -1591355*a(n-9) -336140*a(n-10) +14757889*a(n-11) -39361770*a(n-12) +18719100*a(n-13) +277897059*a(n-14) -821612938*a(n-15) -292379110*a(n-16) +4642833256*a(n-17) -8211762394*a(n-18) -5532781631*a(n-19) +71427664023*a(n-20) -69508358436*a(n-21) -331848588324*a(n-22) +492522863358*a(n-23) +1008964823546*a(n-24) -1749724780901*a(n-25) -2027405998846*a(n-26) +3980995522076*a(n-27) +2329936162492*a(n-28) -5941937090966*a(n-29) -155193367875*a(n-30) +5176937282395*a(n-31) -4310936524648*a(n-32) -866336862085*a(n-33) +6768995257483*a(n-34) -3572073808089*a(n-35) -3307651050021*a(n-36) +3652308903127*a(n-37) -2258815132671*a(n-38) -360128820078*a(n-39) +2780284623784*a(n-40) -1035731320672*a(n-41) +215143370389*a(n-42) -47545454325*a(n-43) -770659027600*a(n-44) +172985827712*a(n-45) -192990896779*a(n-46) +292901581896*a(n-47) +87198893515*a(n-48) +9187067760*a(n-49) +113001902793*a(n-50) -133465202486*a(n-51) +16321032133*a(n-52) -27150624822*a(n-53) -24668671065*a(n-54) +22451714929*a(n-55) -7703581295*a(n-56) +10526413654*a(n-57) +1160115697*a(n-58) -391362882*a(n-59) +1221259833*a(n-60) -1599718285*a(n-61) +245911668*a(n-62) -360243987*a(n-63) -48171108*a(n-64) +64805262*a(n-65) -31808407*a(n-66) +42646790*a(n-67) -4967093*a(n-68) +4966963*a(n-69) +535134*a(n-70) -993561*a(n-71) +288518*a(n-72) -322370*a(n-73) +27325*a(n-74) -20896*a(n-75) -2346*a(n-76) +3161*a(n-77) -628*a(n-78) +638*a(n-79) -43*a(n-80) +42*a(n-81) -a(n-82) +a(n-83)

A207003 Number of 6Xn 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

33, 1089, 16109, 211471, 3032756, 45723467, 683241763, 10070110597, 148233534913, 2188626118244, 32347115051263, 477836040550545, 7056110017685369, 104200645149581597, 1538926599002070335
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Row 6 of A207000

Examples

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

A207004 Number of 7Xn 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

54, 2916, 61003, 1124120, 22816988, 490003769, 10432265840, 218637649146, 4572897018607, 95971301545030, 2016876598616899, 42362715890770207, 889374671577272079, 18672246190599282488, 392068641835583132666
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Row 7 of A207000

Examples

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

A206995 Number of n X n 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically.

Original entry on oeis.org

2, 16, 230, 6612, 382349, 45723467, 10432265840, 4567604720632, 3835202074248503, 6261201402096526687, 19792947737197868206612, 121328664454799987875557245, 1441630925698363945645049021360
Offset: 1

Views

Author

R. H. Hardin Feb 14 2012

Keywords

Comments

Diagonal of A207000

Examples

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