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 1-7 of 7 results.

A188757 Number of nX3 binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

7, 49, 240, 1112, 4792, 20129, 82807, 337209, 1363568, 5492088, 22063552, 88498657, 354619079, 1420087393, 5684504432, 22748788280, 91023096360, 364165082465, 1456849628855, 5827892187561, 23312857086192, 93254793361944
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Column 3 of A188763

Examples

			Some solutions for 4X3
..1..1..0....0..1..0....1..1..0....0..1..1....0..1..1....0..0..0....0..0..0
..1..1..1....1..1..1....1..0..1....1..1..0....1..1..0....1..0..1....1..1..1
..0..1..1....0..0..0....1..1..1....0..1..0....0..1..0....0..0..0....0..0..0
..1..1..0....0..0..0....0..1..1....1..0..0....0..1..0....1..0..0....0..1..0
		

Formula

Empirical: a(n) = 8*a(n-1) -14*a(n-2) -29*a(n-3) +90*a(n-4) +12*a(n-5) -159*a(n-6) +36*a(n-7) +106*a(n-8) -35*a(n-9) -22*a(n-10) +8*a(n-11)

A188756 Number of n X n binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

2, 16, 240, 8024, 532168, 75643222, 23051042448, 15452387615952, 22950235913333896, 76154002726353974190, 566628641478740667189960, 9481314346965748016023712242, 357341446119863197891865122035480
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Diagonal of A188763

Examples

			Some solutions for 3X3
..1..1..1....1..1..1....1..0..0....0..0..0....1..1..0....0..1..0....1..0..0
..0..1..1....0..0..0....0..1..1....1..1..0....0..1..0....1..1..0....1..1..1
..0..1..0....0..0..0....1..0..0....1..0..0....0..0..0....0..1..0....1..0..0
		

A188758 Number of nX4 binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

12, 144, 1112, 8024, 53024, 339927, 2125134, 13128024, 80418708, 490332106, 2980442190, 18082824827, 109579150934, 663532220578, 4015904399274, 24297890544570, 146982319288138, 889004822816985, 5376572830392848
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Column 4 of A188763

Examples

			Some solutions for 3X4
..1..1..0..1....0..1..1..1....0..1..1..1....1..1..1..1....1..1..0..1
..0..1..1..1....1..0..1..0....1..0..1..1....1..1..1..0....0..0..0..0
..0..1..0..1....0..0..0..0....1..1..0..0....0..1..0..0....0..1..0..0
		

Formula

Empirical: a(n) = 13*a(n-1) -24*a(n-2) -309*a(n-3) +1139*a(n-4) +2904*a(n-5) -15708*a(n-6) -13388*a(n-7) +114908*a(n-8) +27510*a(n-9) -517862*a(n-10) +10696*a(n-11) +1525375*a(n-12) -199987*a(n-13) -2999240*a(n-14) +537335*a(n-15) +3938119*a(n-16) -825688*a(n-17) -3403810*a(n-18) +826898*a(n-19) +1870596*a(n-20) -531896*a(n-21) -607828*a(n-22) +201144*a(n-23) +99904*a(n-24) -37536*a(n-25) -5568*a(n-26) +2304*a(n-27)

A188759 Number of nX5 binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

20, 400, 4792, 53024, 532168, 5163989, 48759352, 454436200, 4196906454, 38563523452, 353149127960, 3227401734383, 29455645703492, 268607915360488, 2448108525665546, 22304314950595356, 203163892637966720
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Column 5 of A188763

Examples

			Some solutions for 3X5
..0..1..1..1..0....0..1..1..1..1....1..0..1..1..1....1..1..1..1..1
..1..0..0..0..0....1..1..1..1..0....0..1..1..1..0....1..1..0..1..1
..0..1..1..0..0....1..1..1..0..1....1..1..1..0..0....1..0..0..0..0
		

Formula

Empirical: a(n) = 22*a(n-1) -70*a(n-2) -1618*a(n-3) +11120*a(n-4) +47034*a(n-5) -534943*a(n-6) -551606*a(n-7) +14611160*a(n-8) -4049936*a(n-9) -266817312*a(n-10) +259639964*a(n-11) +3519324886*a(n-12) -4881340196*a(n-13) -35064158164*a(n-14) +57583231084*a(n-15) +271485508912*a(n-16) -487721768504*a(n-17) -1664034384882*a(n-18) +3133033950064*a(n-19) +8171464584048*a(n-20) -15720808480096*a(n-21) -32379778576548*a(n-22) +62745993612268*a(n-23) +103895248459539*a(n-24) -201586268638518*a(n-25) -270041179910698*a(n-26) +525373435370358*a(n-27) +567083704042044*a(n-28) -1115803214123978*a(n-29) -956367753428867*a(n-30) +1934485140455318*a(n-31) +1281302981943948*a(n-32) -2734844302826768*a(n-33) -1338142536953580*a(n-34) +3140097542985056*a(n-35) +1051323597729608*a(n-36) -2907013865099900*a(n-37) -573175913588364*a(n-38) +2146307393175232*a(n-39) +161617141575284*a(n-40) -1244574676854520*a(n-41) +39510568416836*a(n-42) +555156722092736*a(n-43) -69421320742292*a(n-44) -185262425270480*a(n-45) +38165505566368*a(n-46) +44548004587224*a(n-47) -12320660907616*a(n-48) -7326913408080*a(n-49) +2488275738000*a(n-50) +763096644864*a(n-51) -304908505920*a(n-52) -44179793280*a(n-53) +20485799424*a(n-54) +1056416256*a(n-55) -574801920*a(n-56)

A188760 Number of nX6 binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

33, 1089, 20129, 339927, 5163989, 75643222, 1076278662, 15104206828, 209938880964, 2902462402332, 39984970277418, 549661931523107, 7545440863028881, 103487881710317937, 1418545619416264861
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Column 6 of A188763

Examples

			Some solutions for 3X6
..0..1..0..1..1..1....1..0..1..1..1..1....1..1..1..0..0..0....1..1..1..1..0..0
..0..1..0..1..0..1....1..0..1..0..1..0....1..1..1..1..0..0....0..1..1..0..1..0
..0..1..0..0..0..0....1..0..1..0..1..0....1..1..1..0..0..0....0..1..0..1..1..0
		

A188761 Number of nX7 binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

54, 2916, 82807, 2125134, 48759352, 1076278662, 23051042448, 486675087796, 10173867472000, 211512633571598, 4381259021867922, 90552637913884195, 1868853564303970702, 38534809875015493620, 794094746915798233015
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Column 7 of A188763

Examples

			Some solutions for 3X7
..1..1..1..1..1..1..1....0..1..1..0..1..1..0....0..1..1..0..1..1..0
..1..1..1..1..1..0..0....1..0..1..1..0..1..1....0..1..1..1..0..1..1
..1..1..0..1..1..1..0....0..1..0..1..0..1..0....0..1..0..0..0..0..0
		

A188762 Number of nX8 binary arrays without the pattern 0 0 1 vertically or horizontally.

Original entry on oeis.org

88, 7744, 337209, 13128024, 454436200, 15104206828, 486675087796, 15452387615952, 485691897312770, 15180400491179444, 472703941058052104, 14686500873806680089, 455626112297181852684, 14121996559127763001844
Offset: 1

Views

Author

R. H. Hardin Apr 09 2011

Keywords

Comments

Column 8 of A188763

Examples

			Some solutions for 3X8
..0..1..1..0..1..0..1..1....0..1..1..1..1..1..0..0....0..1..1..0..1..0..0..0
..1..0..1..1..1..1..1..0....1..1..0..1..0..0..0..0....1..0..1..1..0..1..0..1
..0..1..1..1..1..0..0..0....0..1..0..1..0..1..0..0....1..0..0..0..0..0..0..0
		
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