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.

A207515 Number of n X n 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 16, 98, 1307, 29622, 1048423, 54373655, 4964342828, 715483286848, 161734351034666, 59741686819322041, 35917251659399987384, 34508253720326500890077, 53717705561862882229716065
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Diagonal of A207519

Examples

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

A207516 Number of nX5 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

14, 196, 834, 5458, 29622, 174224, 991184, 5723716, 32841502, 188945636, 1085703774, 6241589274, 35874036584, 206212212976, 1185324296910, 6813497962604, 39164988487700, 225125708916362, 1294048535709874
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 5 of A207519

Examples

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

A207517 Number of nX6 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

21, 441, 2307, 19909, 137719, 1048423, 7666319, 57113109, 422082891, 3130112351, 23173976223, 171676789835, 1271417316909, 9417475398607, 69753625991829, 516671332697659, 3826965495103137, 28346096345105751, 209956452832167033
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 6 of A207519

Examples

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

A207518 Number of nX7 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

31, 961, 6115, 68807, 600283, 5849409, 54373655, 516879019, 4866171581, 46008055407, 434073335621, 4098491207569, 38682074952657, 365164477339623, 3447077980972367, 32541367521606267, 307192500866436479
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Column 7 of A207519

Examples

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

A207520 Number of 4Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

10, 100, 358, 1307, 5458, 19909, 68807, 243954, 851870, 2913994, 9973355, 34091714, 115887871, 393267367, 1334118596, 4519810862, 15299142694, 51772884227, 175141804206, 592296849671, 2002747670245, 6771221110994, 22890878459054
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 4 of A207519

Examples

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

Formula

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +39*a(n-3) -140*a(n-4) +171*a(n-5) -344*a(n-6) +1128*a(n-7) -630*a(n-8) +1074*a(n-9) -5032*a(n-10) -196*a(n-11) -1552*a(n-12) +16522*a(n-13) +7292*a(n-14) +1958*a(n-15) -40098*a(n-16) -26944*a(n-17) -3424*a(n-18) +68042*a(n-19) +53864*a(n-20) +7280*a(n-21) -81638*a(n-22) -65348*a(n-23) -9198*a(n-24) +67390*a(n-25) +50740*a(n-26) +5022*a(n-27) -37983*a(n-28) -23800*a(n-29) -594*a(n-30) +14633*a(n-31) +6308*a(n-32) -1205*a(n-33) -3792*a(n-34) -684*a(n-35) +688*a(n-36) +730*a(n-37) -34*a(n-38) -170*a(n-39) -100*a(n-40) +8*a(n-41) +16*a(n-42) +8*a(n-43)

A207521 Number of 5Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

16, 256, 1152, 5369, 29622, 137719, 600283, 2713480, 12034046, 52033244, 225654415, 977903570, 4209142915, 18093980819, 77797857664, 334005490934, 1432816184496, 6146377438291, 26358559894264, 113005090485943
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 5 of A207519

Examples

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

Formula

Empirical: a(n) = 8*a(n-1) -25*a(n-2) +125*a(n-3) -583*a(n-4) +1307*a(n-5) -4302*a(n-6) +15782*a(n-7) -25397*a(n-8) +69323*a(n-9) -231136*a(n-10) +247794*a(n-11) -674877*a(n-12) +2236676*a(n-13) -1286667*a(n-14) +4793434*a(n-15) -15988083*a(n-16) +1881303*a(n-17) -28243884*a(n-18) +87896714*a(n-19) +25605630*a(n-20) +145297683*a(n-21) -373941454*a(n-22) -244932392*a(n-23) -647542757*a(n-24) +1228149444*a(n-25) +1218833067*a(n-26) +2411539146*a(n-27) -3084494449*a(n-28) -4153363899*a(n-29) -7262071975*a(n-30) +5817208512*a(n-31) +10455702949*a(n-32) +17413156138*a(n-33) -7982712423*a(n-34) -20111891835*a(n-35) -33113846402*a(n-36) +7398373630*a(n-37) +30252014861*a(n-38) +49983273603*a(n-39) -3532101870*a(n-40) -36367430451*a(n-41) -60135076604*a(n-42) -1007990935*a(n-43) +35839814696*a(n-44) +58017478336*a(n-45) +2842613375*a(n-46) -29854060929*a(n-47) -45245364315*a(n-48) -1439275298*a(n-49) +21574998415*a(n-50) +28816020001*a(n-51) -831625382*a(n-52) -13625474229*a(n-53) -15130551952*a(n-54) +1832280381*a(n-55) +7366334009*a(n-56) +6584469280*a(n-57) -1490238021*a(n-58) -3272503508*a(n-59) -2359877825*a(n-60) +761834962*a(n-61) +1143626018*a(n-62) +680947060*a(n-63) -271952010*a(n-64) -300089106*a(n-65) -153411906*a(n-66) +70415692*a(n-67) +56512912*a(n-68) +25899544*a(n-69) -13381904*a(n-70) -7191632*a(n-71) -3244896*a(n-72) +1932736*a(n-73) +555104*a(n-74) +294528*a(n-75) -204544*a(n-76) -18560*a(n-77) -21376*a(n-78) +16128*a(n-79) -1024*a(n-80) +1024*a(n-81) -512*a(n-82)

A207522 Number of 6Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

26, 676, 3910, 23645, 174224, 1048423, 5849409, 34086388, 194127326, 1072682612, 5949871197, 32972259800, 181215150437, 994491836927, 5459206940728, 29912112343938, 163735018314976, 896261401236653, 4904165437714290
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 6 of A207519

Examples

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

A207523 Number of 7Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically.

Original entry on oeis.org

42, 1764, 12994, 101233, 991184, 7666319, 54373655, 406281454, 2956097240, 20771578816, 146736632823, 1035899791894, 7243867291833, 50585923578789, 353460807485988, 2464610891088612, 17167716757793554, 119597858516828559
Offset: 1

Views

Author

R. H. Hardin Feb 18 2012

Keywords

Comments

Row 7 of A207519

Examples

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