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.

A207881 Number of nX4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

9, 81, 221, 575, 1673, 4881, 14825, 45411, 141381, 443159, 1399925, 4442717, 14159449, 45263327, 145061281, 465794335, 1498036809, 4823779033, 15548389529, 50156459339, 161898944109, 522854621863, 1689250105197, 5459434154405
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 4 of A207885

Examples

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

Formula

Empirical: a(n) = 8*a(n-1) -10*a(n-2) -67*a(n-3) +164*a(n-4) +194*a(n-5) -751*a(n-6) -172*a(n-7) +1630*a(n-8) -197*a(n-9) -1808*a(n-10) +490*a(n-11) +952*a(n-12) -320*a(n-13) -176*a(n-14) +64*a(n-15) for n>16

A207882 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

13, 169, 493, 1360, 4387, 14225, 49586, 175747, 645245, 2403872, 9120677, 34960907, 135357992, 527526895, 2067755087, 8138519992, 32142126101, 127268868773, 504981199930, 2006919956813, 7986355654043, 31813478437106, 126832238503405
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 5 of A207885

Examples

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

Formula

Empirical: a(n) = 10*a(n-1) -10*a(n-2) -192*a(n-3) +523*a(n-4) +1371*a(n-5) -5841*a(n-6) -3846*a(n-7) +32138*a(n-8) -2492*a(n-9) -101383*a(n-10) +45525*a(n-11) +191278*a(n-12) -128400*a(n-13) -213000*a(n-14) +178176*a(n-15) +129368*a(n-16) -132968*a(n-17) -32752*a(n-18) +50112*a(n-19) -1856*a(n-20) -7296*a(n-21) +1536*a(n-22) for n>23

A207883 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

19, 361, 1095, 3106, 10207, 33631, 119278, 430317, 1618497, 6185552, 24218961, 95923447, 385262430, 1559000011, 6359706157, 26067392066, 107355218191, 443485735669, 1837400471598, 7628072692243, 31728400910931, 132160666103750
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 6 of A207885

Examples

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

Formula

Empirical: a(n) = 15*a(n-1) -49*a(n-2) -321*a(n-3) +2264*a(n-4) +629*a(n-5) -34535*a(n-6) +45426*a(n-7) +272671*a(n-8) -644045*a(n-9) -1212652*a(n-10) +4445677*a(n-11) +2724392*a(n-12) -18859001*a(n-13) +42422*a(n-14) +52859050*a(n-15) -19114180*a(n-16) -100657622*a(n-17) +59907140*a(n-18) +131073520*a(n-19) -99525328*a(n-20) -115653968*a(n-21) +102345632*a(n-22) +67340656*a(n-23) -67025952*a(n-24) -24498368*a(n-25) +27442176*a(n-26) +4950784*a(n-27) -6594048*a(n-28) -394240*a(n-29) +802816*a(n-30) -8192*a(n-31) -32768*a(n-32) for n>33

A207884 Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

28, 784, 2654, 8652, 33976, 138552, 618202, 2857532, 13771096, 67756306, 339739264, 1722062016, 8806555398, 45292066892, 233975264688, 1212420852554, 6297606134728, 32768547788112, 170738390765814, 890542029961372
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 7 of A207885

Examples

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

Formula

Empirical: a(n) = 18*a(n-1) -63*a(n-2) -696*a(n-3) +5251*a(n-4) +6604*a(n-5) -145686*a(n-6) +136422*a(n-7) +2248670*a(n-8) -4855316*a(n-9) -22024270*a(n-10) +71903692*a(n-11) +141609775*a(n-12) -675400446*a(n-13) -563381335*a(n-14) +4488324436*a(n-15) +843058515*a(n-16) -22156577592*a(n-17) +5189879568*a(n-18) +83408718054*a(n-19) -44792061584*a(n-20) -243009164072*a(n-21) +187556916960*a(n-22) +552067051872*a(n-23) -534569670568*a(n-24) -979810946576*a(n-25) +1124030060168*a(n-26) +1353987450976*a(n-27) -1796501107688*a(n-28) -1443229551936*a(n-29) +2206889269952*a(n-30) +1165693664176*a(n-31) -2085915210048*a(n-32) -690834063936*a(n-33) +1507531198272*a(n-34) +281655712512*a(n-35) -822289038848*a(n-36) -66346689920*a(n-37) +331570320384*a(n-38) +1464774144*a(n-39) -95854256128*a(n-40) +4452892672*a(n-41) +18989957120*a(n-42) -1398530048*a(n-43) -2404745216*a(n-44) +184320000*a(n-45) +172359680*a(n-46) -9175040*a(n-47) -5242880*a(n-48) for n>49

A207886 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

9, 81, 177, 575, 1360, 3106, 8652, 22114, 53620, 139806, 360132, 899952, 2300016, 5898082, 14925674, 37975776, 96993892, 246541258, 627068300, 1598281686, 4067781864, 10349972204, 26357799164, 67101532924, 170780094962
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 4 of A207885

Examples

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +11*a(n-3) -2*a(n-4) -7*a(n-5) -31*a(n-6) +a(n-7) +6*a(n-8) +39*a(n-9) -4*a(n-10) +7*a(n-11) -24*a(n-12) -a(n-13) -6*a(n-14) +6*a(n-15) for n>17

A207887 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

14, 196, 408, 1673, 4387, 10207, 33976, 97989, 250976, 751786, 2196861, 5945255, 17102505, 49610006, 138094073, 392237030, 1127664930, 3179722493, 9008231347, 25741356507, 72965532844, 206793439533, 588943622236, 1672443979270
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 5 of A207885

Examples

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

Formula

Empirical: a(n) = a(n-1) +23*a(n-3) -7*a(n-4) +a(n-5) -163*a(n-6) +21*a(n-7) -a(n-8) +621*a(n-9) -133*a(n-10) -11*a(n-11) -1509*a(n-12) +415*a(n-13) +18*a(n-14) +2512*a(n-15) -453*a(n-16) -10*a(n-17) -2932*a(n-18) -81*a(n-19) -45*a(n-20) +2408*a(n-21) +527*a(n-22) +25*a(n-23) -1360*a(n-24) -362*a(n-25) -16*a(n-26) +505*a(n-27) +62*a(n-28) -a(n-29) -111*a(n-30) +10*a(n-31) +11*a(n-33) for n>35

A207888 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

22, 484, 942, 4881, 14225, 33631, 138552, 452415, 1213630, 4316538, 14467167, 42033425, 139413515, 465091766, 1417537231, 4568534780, 15054960868, 47122875377, 150415872153, 490190933287, 1555376086444, 4955936438589
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 6 of A207885

Examples

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +36*a(n-3) -14*a(n-4) -26*a(n-5) -435*a(n-6) +97*a(n-7) +135*a(n-8) +2888*a(n-9) -540*a(n-10) +131*a(n-11) -12541*a(n-12) +2158*a(n-13) -4031*a(n-14) +39053*a(n-15) -5366*a(n-16) +19889*a(n-17) -90907*a(n-18) +7414*a(n-19) -56374*a(n-20) +161200*a(n-21) -3221*a(n-22) +107356*a(n-23) -221425*a(n-24) -6646*a(n-25) -144964*a(n-26) +240706*a(n-27) +12411*a(n-28) +142562*a(n-29) -211220*a(n-30) -7937*a(n-31) -102645*a(n-32) +150000*a(n-33) -664*a(n-34) +52557*a(n-35) -84163*a(n-36) +4604*a(n-37) -17655*a(n-38) +35671*a(n-39) -3158*a(n-40) +3161*a(n-41) -10877*a(n-42) +982*a(n-43) +14*a(n-44) +2284*a(n-45) -119*a(n-46) -134*a(n-47) -306*a(n-48) -a(n-49) +19*a(n-50) +19*a(n-51) for n>53

A207889 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

35, 1225, 2233, 14825, 49586, 119278, 618202, 2332602, 6535778, 28238814, 110355600, 342679500, 1341016198, 5237625812, 17405443410, 64898151922, 250040973048, 867290958802, 3166736891794, 12011520072686, 42745544469774
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 7 of A207885

Examples

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

A207880 Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 1 and 1 1 0 vertically.

Original entry on oeis.org

2, 16, 82, 575, 4387, 33631, 618202, 12501427, 214612008, 11062960730, 657453772615, 25402400315447, 3733312830860298, 643896610977129232, 54640540348513184649, 23181398334398528895458, 11714931649831496203623180
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Diagonal of A207885

Examples

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