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 11 results. Next

A207421 Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

6, 36, 114, 351, 1162, 3633, 11067, 33994, 103972, 315900, 959469, 2913192, 8833205, 26769585, 81116398, 245729000, 744251550, 2253989395, 6825832650, 20669704173, 62589261963, 189520870122, 573861525576, 1737611142984, 5261327251049
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Column 3 of A207426

Examples

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

Formula

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +13*a(n-3) -30*a(n-4) +3*a(n-5) -29*a(n-6) +50*a(n-7) +56*a(n-8) +28*a(n-9) -34*a(n-10) -76*a(n-11) -42*a(n-12) +14*a(n-13) +35*a(n-14) +20*a(n-15) +4*a(n-16) -7*a(n-17) -2*a(n-18) -a(n-19) -a(n-20)

A207427 Number of 3Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

6, 36, 114, 361, 1425, 5625, 20550, 75076, 282494, 1062961, 3953885, 14707225, 54963220, 205406224, 766145724, 2857650849, 10667504721, 39821399809, 148599935192, 554524472896, 2069606677336, 7724225004001, 28826640215153
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Row 3 of A207426

Examples

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

Formula

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +16*a(n-3) +35*a(n-4) -53*a(n-5) +54*a(n-6) -183*a(n-7) -315*a(n-8) +430*a(n-9) -115*a(n-10) +307*a(n-11) +592*a(n-12) -693*a(n-13) +261*a(n-14) -288*a(n-15) -285*a(n-16) +315*a(n-17) -202*a(n-18) +153*a(n-19) -27*a(n-20) -2*a(n-21) +5*a(n-22) -5*a(n-23) +a(n-24)

A207422 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 361, 1521, 6889, 29929, 127449, 546121, 2337841, 9979281, 42601729, 181899169, 776458225, 3314189761, 14146485721, 60382741441, 257733905625, 1100096811025, 4695589958761, 20042356043161, 85547497157721
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Column 4 of A207426

Examples

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

Formula

Empirical: a(n) = 4*a(n-1) +a(n-2) +8*a(n-3) -21*a(n-4) -46*a(n-5) -6*a(n-6) +35*a(n-7) +49*a(n-8) +19*a(n-9) -16*a(n-10) -21*a(n-11) -4*a(n-13) -2*a(n-14) +a(n-15)

A207423 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

15, 225, 1425, 8463, 55361, 341329, 2048823, 12436631, 75326185, 453869325, 2736999545, 16513415365, 99553034715, 600117044821, 3618247957621, 21813452529627, 131499832021425, 792759625024175, 4779237788051311
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Column 5 of A207426

Examples

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

Formula

Empirical: a(n) = 6*a(n-1) -8*a(n-2) +130*a(n-3) -403*a(n-4) -79*a(n-5) -4585*a(n-6) +6802*a(n-7) +21159*a(n-8) +91055*a(n-9) -25808*a(n-10) -479095*a(n-11) -1448979*a(n-12) -495678*a(n-13) +5088278*a(n-14) +15442023*a(n-15) +11693808*a(n-16) -31713060*a(n-17) -106555416*a(n-18) -113786370*a(n-19) +98384113*a(n-20) +484902259*a(n-21) +647324638*a(n-22) -10416620*a(n-23) -1362142484*a(n-24) -2344531319*a(n-25) -1147648484*a(n-26) +2060036105*a(n-27) +5213090150*a(n-28) +4713422838*a(n-29) -319232145*a(n-30) -6585903643*a(n-31) -9182695909*a(n-32) -4990982610*a(n-33) +2874681079*a(n-34) +9491587088*a(n-35) +8990298078*a(n-36) +3943057247*a(n-37) -3956198277*a(n-38) -6867205891*a(n-39) -6095461280*a(n-40) -1545797857*a(n-41) +1947069920*a(n-42) +3011364322*a(n-43) +1784529759*a(n-44) +234806441*a(n-45) -528826213*a(n-46) -254804818*a(n-47) +247257957*a(n-48) +243684666*a(n-49) +64309110*a(n-50) -308661703*a(n-51) -347854581*a(n-52) -215825965*a(n-53) -33678780*a(n-54) +93968247*a(n-55) +118093167*a(n-56) +70931840*a(n-57) +24964685*a(n-58) -7172591*a(n-59) -17663124*a(n-60) -8778767*a(n-61) -5053470*a(n-62) -452030*a(n-63) +1037839*a(n-64) +146870*a(n-65) +340125*a(n-66) -30418*a(n-67) -109741*a(n-68) +17599*a(n-69) -13818*a(n-70) -2005*a(n-71) +5901*a(n-72) -1149*a(n-73) -103*a(n-74) +132*a(n-75) -166*a(n-76) -a(n-77) +8*a(n-78) -a(n-79) +a(n-80)

A207424 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

25, 625, 5625, 47089, 444889, 3892729, 32936121, 283215241, 2427040225, 20642505625, 175841842225, 1499143116025, 12764120981481, 108666218127481, 925439613839521, 7880177347151769, 67093251777369801, 571284105880558225
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Column 6 of A207426

Examples

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

A207425 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

40, 1600, 20550, 241087, 3210938, 39698733, 474552171, 5755114104, 69609375870, 836438494500, 10061632597765, 121113950382680, 1456404024212421, 17511407393280395, 210603058946646014, 2532582001420108242
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Column 7 of A207426

Examples

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

A207428 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 351, 1521, 8463, 47089, 241087, 1234321, 6520459, 34445161, 179832029, 938870881, 4924284469, 25827382681, 135217499129, 707921987161, 3708936179293, 19431812871409, 101777874172609, 533081279633809
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Row 4 of A207426

Examples

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

Formula

Empirical: a(n) = a(n-1) +42*a(n-3) +338*a(n-4) +396*a(n-5) +1030*a(n-6) -2344*a(n-7) -26833*a(n-8) -38303*a(n-9) -63202*a(n-10) +52598*a(n-11) +985438*a(n-12) +1396288*a(n-13) +1115284*a(n-14) -1106178*a(n-15) -18477389*a(n-16) -25263353*a(n-17) -3049142*a(n-18) +22326584*a(n-19) +174876704*a(n-20) +237470328*a(n-21) -39378634*a(n-22) -214045948*a(n-23) -945656665*a(n-24) -1307385407*a(n-25) +307355250*a(n-26) +1045889236*a(n-27) +3162966504*a(n-28) +4555026416*a(n-29) -871998610*a(n-30) -2799326238*a(n-31) -6757086963*a(n-32) -10396330247*a(n-33) +1059472092*a(n-34) +4057077276*a(n-35) +9160267840*a(n-36) +15560256508*a(n-37) -237781588*a(n-38) -2626258574*a(n-39) -7575853071*a(n-40) -14895330403*a(n-41) -528389710*a(n-42) -340236834*a(n-43) +3585419896*a(n-44) +8683553694*a(n-45) +272258332*a(n-46) +1521488072*a(n-47) -955290301*a(n-48) -2840729543*a(n-49) +86640816*a(n-50) -835851548*a(n-51) +201803584*a(n-52) +443470096*a(n-53) -53983872*a(n-54) +176842688*a(n-55) -41717504*a(n-56) -21092864*a(n-57) +2904064*a(n-58) -11999232*a(n-59) +3026944*a(n-60) +176128*a(n-61) +245760*a(n-63) -65536*a(n-64)

A207429 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

14, 196, 1162, 6889, 55361, 444889, 3210938, 23174596, 174570082, 1315005169, 9738102283, 72114268681, 537769464960, 4010246553600, 29819994798720, 221740004737969, 1650780521420653, 12289511462408761, 91447279848789522
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Row 5 of A207426

Examples

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

A207430 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

21, 441, 3633, 29929, 341329, 3892729, 39698733, 404854641, 4315250265, 45995236225, 481815567745, 5047180107649, 53243344229835, 561670803164025, 5908341620443125, 62151175576890625, 654538444302027625
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Row 6 of A207426

Examples

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

A207431 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

31, 961, 11067, 127449, 2048823, 32936121, 474552171, 6837470721, 102807481767, 1545802349809, 22864149458035, 338186399124025, 5035128104126565, 74966098845588129, 1113208750837622133, 16530588386278151641
Offset: 1

Views

Author

R. H. Hardin Feb 17 2012

Keywords

Comments

Row 7 of A207426

Examples

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