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 1-10 of 10 results.

A207903 Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

6, 36, 102, 261, 611, 1278, 2625, 5134, 9798, 18414, 33947, 62049, 112332, 201925, 361298, 643452, 1142526, 2023513, 3576387, 6311690, 11124765, 19589642, 34469830, 60616350, 106548039, 187215857, 328865096, 577561897, 1014154398
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 3 of A207908

Examples

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

Formula

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

A207904 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

9, 81, 289, 841, 2209, 5041, 11025, 22801, 45369, 88209, 167281, 312481, 576081, 1050625, 1901641, 3418801, 6115729, 10896601, 19351201, 34281025, 60606225, 106977649, 188595289, 332150625, 584527329, 1028035969, 1807185121
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 4 of A207908

Examples

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

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) -4*a(n-3) -a(n-4) +14*a(n-5) -6*a(n-6) -5*a(n-7) -3*a(n-8) +7*a(n-9) -4*a(n-10) +3*a(n-11) -2*a(n-14) +a(n-15)

A207905 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

15, 225, 1071, 4089, 13865, 39831, 110775, 289467, 730377, 1811997, 4393069, 10558951, 25146429, 59475625, 140190519, 329138641, 771108603, 1803405621, 4211351857, 9825749755, 22905455175, 53364801587, 124272402673, 289284276825
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 5 of A207908

Examples

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

Formula

Empirical: a(n) = 6*a(n-1) -8*a(n-2) -10*a(n-3) +3*a(n-4) +80*a(n-5) -71*a(n-6) -74*a(n-7) -24*a(n-8) +242*a(n-9) -136*a(n-10) +56*a(n-11) -102*a(n-12) +102*a(n-13) -348*a(n-14) +344*a(n-15) -2*a(n-16) +120*a(n-17) -298*a(n-18) +222*a(n-19) -192*a(n-20) +82*a(n-21) -56*a(n-22) +142*a(n-23) -104*a(n-24) +48*a(n-25) -26*a(n-26) +18*a(n-27) -27*a(n-28) +18*a(n-29) -6*a(n-30) +2*a(n-31) -a(n-32) +2*a(n-33) -a(n-34)

A207906 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

25, 625, 3969, 19881, 87025, 314721, 1113025, 3674889, 11758041, 37222201, 115369081, 356794321, 1097663161, 3366900625, 10334958921, 31687204081, 97226099721, 298466635041, 916505619649, 2816291468761, 8656864485025
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 6 of A207908

Examples

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

Formula

Empirical: a(n) = 9*a(n-1) -25*a(n-2) +10*a(n-3) +11*a(n-4) +234*a(n-5) -668*a(n-6) +479*a(n-7) -245*a(n-8) +1805*a(n-9) -4260*a(n-10) +6003*a(n-11) -6488*a(n-12) +6128*a(n-13) -13265*a(n-14) +27257*a(n-15) -29449*a(n-16) +24594*a(n-17) -32021*a(n-18) +49194*a(n-19) -67268*a(n-20) +69023*a(n-21) -55533*a(n-22) +60189*a(n-23) -80428*a(n-24) +89339*a(n-25) -79328*a(n-26) +60128*a(n-27) -55387*a(n-28) +62435*a(n-29) -60147*a(n-30) +47086*a(n-31) -31095*a(n-32) +23230*a(n-33) -23140*a(n-34) +20037*a(n-35) -13527*a(n-36) +7247*a(n-37) -3820*a(n-38) +3473*a(n-39) -3016*a(n-40) +1776*a(n-41) -659*a(n-42) +91*a(n-43) -107*a(n-44) +182*a(n-45) -127*a(n-46) +46*a(n-47) +4*a(n-48) -3*a(n-49) -7*a(n-50) +7*a(n-51) -4*a(n-52) +a(n-53)

A207907 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

40, 1600, 13230, 80511, 417425, 1726758, 6835345, 24832818, 86006178, 290773660, 952221873, 3079379225, 9827714792, 31055966425, 97631157960, 305161540736, 950767241358, 2954422566171, 9160209168881, 28362651790230, 87706947406905
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 7 of A207908

Examples

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

Formula

Empirical: a(n) = 7*a(n-1) -82*a(n-3) +13*a(n-4) +685*a(n-5) -69*a(n-6) -3818*a(n-7) -333*a(n-8) +14972*a(n-9) +4256*a(n-10) -41993*a(n-11) -14953*a(n-12) +79911*a(n-13) +16786*a(n-14) -102679*a(n-15) +76572*a(n-16) +84290*a(n-17) -390285*a(n-18) -62881*a(n-19) +916777*a(n-20) +41926*a(n-21) -1352131*a(n-22) +237448*a(n-23) +1256136*a(n-24) -1095695*a(n-25) -582923*a(n-26) +2499445*a(n-27) -489247*a(n-28) -3470394*a(n-29) +1593584*a(n-30) +2970668*a(n-31) -2702398*a(n-32) -857646*a(n-33) +3669662*a(n-34) -1640148*a(n-35) -3521154*a(n-36) +2945640*a(n-37) +1811168*a(n-38) -3227738*a(n-39) +677078*a(n-40) +2602486*a(n-41) -2019716*a(n-42) -1177934*a(n-43) +1960072*a(n-44) -344924*a(n-45) -1334074*a(n-46) +1134798*a(n-47) +389794*a(n-48) -904196*a(n-49) +227930*a(n-50) +435136*a(n-51) -435600*a(n-52) +2306*a(n-53) +316954*a(n-54) -177894*a(n-55) -89567*a(n-56) +111747*a(n-57) -40784*a(n-58) -64570*a(n-59) +78113*a(n-60) +4369*a(n-61) -24169*a(n-62) +18942*a(n-63) +3935*a(n-64) -17476*a(n-65) +1856*a(n-66) +3955*a(n-67) -4989*a(n-68) +1363*a(n-69) +2290*a(n-70) -491*a(n-71) -324*a(n-72) +634*a(n-73) -297*a(n-74) -189*a(n-75) +69*a(n-76) -2*a(n-77) -39*a(n-78) +24*a(n-79) +8*a(n-80) -3*a(n-81) +a(n-82) +a(n-83) -a(n-84)

A207909 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

9, 81, 261, 841, 4089, 19881, 80511, 326041, 1428071, 6255001, 26473085, 112042225, 481310535, 2067611841, 8824602441, 37663553041, 161202941369, 689961148321, 2949462033565, 12608429197225, 53927628353015, 230654354661481
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 4 of A207908

Examples

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

Formula

Empirical: a(n) = 3*a(n-1) +15*a(n-3) +67*a(n-4) -103*a(n-5) -69*a(n-6) -157*a(n-7) -735*a(n-8) +867*a(n-9) +665*a(n-10) +273*a(n-11) +2309*a(n-12) -2157*a(n-13) -1104*a(n-14) -82*a(n-15) -2401*a(n-16) +1858*a(n-17) +342*a(n-18) +28*a(n-19) +644*a(n-20) -456*a(n-21) -32*a(n-22) -48*a(n-24) +32*a(n-25)

A207910 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

13, 169, 611, 2209, 13865, 87025, 417425, 2002225, 10896915, 59305401, 303611925, 1554330625, 8194919925, 43206195321, 224558681991, 1167115069561, 6108464797743, 31970576988009, 166753685864931, 869761961442529
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 5 of A207908

Examples

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

A207911 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

18, 324, 1278, 5041, 39831, 314721, 1726758, 9474084, 62431074, 411400089, 2464567047, 14764437081, 92881236582, 584304302404, 3583711091042, 21979959981841, 136591044276099, 848823810045561, 5238992009252400
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 6 of A207908

Examples

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

A207912 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

25, 625, 2625, 11025, 110775, 1113025, 6835345, 41977441, 336253621, 2693506201, 18577402747, 128130350209, 960194962333, 7195597016521, 51458156348129, 367994740209721, 2701833829557059, 19836984730756561, 143485534654475891
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 7 of A207908

Examples

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

A207902 Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.

Original entry on oeis.org

2, 16, 102, 841, 13865, 314721, 6835345, 167806116, 7410251162, 472676875225, 25730176554865, 1604226387312025, 207661113723753822, 40075955918500009225, 5496265530262722657980, 835639569395431034391481
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Diagonal of A207908

Examples

			Some solutions for n=4
..1..1..1..0....1..0..0..1....1..1..0..0....1..1..0..1....0..1..1..1
..1..0..1..1....0..1..1..0....1..1..1..0....0..0..1..1....1..0..0..1
..0..1..1..0....1..0..0..1....1..0..0..1....1..1..0..1....0..1..1..1
..0..0..1..1....0..1..1..0....0..1..1..0....0..0..1..1....1..0..0..1
		
Showing 1-10 of 10 results.