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.

A207780 Number of n X n 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

2, 16, 98, 791, 6766, 65094, 786907, 9855231, 142116676, 2459545057, 46309750425, 999589825419, 26202502382134, 768926273969151, 25878896800392858, 1098191860946291476, 52205734467966457603, 2867736141204451650414
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Diagonal of A207785

Examples

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

A207781 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

9, 81, 257, 791, 2200, 6418, 19041, 55101, 160274, 468839, 1365913, 3979457, 11607265, 33840611, 98648082, 287610828, 838518475, 2444629303, 7127128826, 20778544998, 60578554943, 176612608043, 514899479923, 1501152602979
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Column 4 of A207785

Examples

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

Formula

Empirical: a(n) = a(n-1) +16*a(n-3) +6*a(n-4) +6*a(n-5) -50*a(n-6) -40*a(n-7) -3*a(n-8) +56*a(n-9) +25*a(n-10) -10*a(n-11) -25*a(n-12) +38*a(n-13) -16*a(n-14) -19*a(n-15) +12*a(n-16) +25*a(n-17) +3*a(n-18) -10*a(n-19) -8*a(n-20) +13*a(n-21) -4*a(n-22) -11*a(n-23) +a(n-24) +5*a(n-25) -2*a(n-27) for n>31

A207782 Number of n X 5 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

13, 169, 611, 2173, 6766, 22322, 75557, 246840, 813373, 2700122, 8903029, 29382065, 97138711, 320761206, 1059193011, 3498970917, 11556218541, 38166121069, 126060198626, 416354317573, 1375125698303, 4541820382522, 15000835767813
Offset: 1

Views

Author

R. H. Hardin, Feb 20 2012

Keywords

Comments

Column 5 of A207785.

Examples

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

Crossrefs

Cf. A207785.

Formula

Empirical: a(n) = a(n-1) +26*a(n-3) +11*a(n-4) +11*a(n-5) -159*a(n-6) -131*a(n-7) -15*a(n-8) +405*a(n-9) +166*a(n-10) -133*a(n-11) -459*a(n-12) +422*a(n-13) -183*a(n-14) -218*a(n-15) -63*a(n-16) +1668*a(n-17) -64*a(n-18) -1008*a(n-19) -555*a(n-20) +963*a(n-21) -269*a(n-22) -127*a(n-23) -263*a(n-24) +742*a(n-25) +360*a(n-26) -571*a(n-27) -218*a(n-28) +176*a(n-29) -105*a(n-30) -307*a(n-31) +2*a(n-32) +187*a(n-33) +39*a(n-34) +15*a(n-35) -8*a(n-36) -19*a(n-37) +2*a(n-38) +14*a(n-39) -6*a(n-41) for n>45.

A207783 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

18, 324, 1326, 5241, 17763, 65094, 246087, 887406, 3238750, 11948552, 43643883, 159571382, 585152040, 2141835490, 7838632143, 28707385058, 105103321375, 384772465146, 1408810317447, 5157976273501, 18884160177390, 69139905612647
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Column 6 of A207785

Examples

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

Formula

Empirical: a(n) = a(n-1) +39*a(n-3) +18*a(n-4) +18*a(n-5) -411*a(n-6) -357*a(n-7) -54*a(n-8) +1982*a(n-9) +809*a(n-10) -875*a(n-11) -4718*a(n-12) +3993*a(n-13) -21*a(n-14) +603*a(n-15) -10511*a(n-16) +29598*a(n-17) -3708*a(n-18) -16902*a(n-19) -34472*a(n-20) +77836*a(n-21) -7195*a(n-22) -30739*a(n-23) -58301*a(n-24) +105782*a(n-25) +13650*a(n-26) -53555*a(n-27) -71020*a(n-28) +60306*a(n-29) -13152*a(n-30) -19186*a(n-31) -23688*a(n-32) +60027*a(n-33) +70792*a(n-34) -34975*a(n-35) -20496*a(n-36) -24624*a(n-37) -29795*a(n-38) -1460*a(n-39) -12952*a(n-40) +17133*a(n-41) +9117*a(n-42) +3303*a(n-43) +6713*a(n-44) -10581*a(n-45) -3143*a(n-46) +6255*a(n-47) +3404*a(n-48) -2175*a(n-49) -441*a(n-50) -1165*a(n-51) -2550*a(n-52) +16*a(n-53) -30*a(n-54) -174*a(n-55) +324*a(n-56) -420*a(n-57) -1296*a(n-59) for n>71

A207784 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

25, 625, 2815, 12567, 46199, 185613, 786907, 3121285, 12547290, 51431686, 207462822, 837211531, 3399092159, 13752531706, 55605190507, 225211225477, 911554639912, 3688266309172, 14929725196351, 60428546476595
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Column 7 of A207785

Examples

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

A207786 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

9, 81, 253, 791, 2173, 5241, 12567, 28101, 61397, 131083, 272789, 560651, 1133751, 2266643, 4487109, 8799557, 17130019, 33113221, 63623053, 121586791, 231212705, 437760595, 825496887, 1550995293, 2904417145, 5422206945, 10094193051
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Row 4 of A207785

Examples

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

Formula

Empirical: a(n) = 4*a(n-1) -13*a(n-3) -6*a(n-4) +41*a(n-5) +10*a(n-6) -57*a(n-7) -32*a(n-8) +66*a(n-9) +18*a(n-10) -31*a(n-11) +14*a(n-13) -30*a(n-14) +4*a(n-15) +32*a(n-16) -13*a(n-17) -12*a(n-18) +a(n-19) +6*a(n-20) -9*a(n-21) +12*a(n-22) -2*a(n-23) -3*a(n-25) +2*a(n-26) -2*a(n-27) +a(n-28)

A207787 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

13, 169, 621, 2200, 6766, 17763, 46199, 110732, 257118, 582114, 1274558, 2750932, 5820516, 12139129, 25026151, 50987441, 102961663, 206146550, 409655636, 808788667, 1587088299, 3097694214, 6016346686, 11632341504, 22398414558
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Row 5 of A207785

Examples

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

Formula

Empirical: a(n) = 5*a(n-1) -2*a(n-2) -22*a(n-3) +11*a(n-4) +73*a(n-5) -33*a(n-6) -152*a(n-7) +51*a(n-8) +205*a(n-9) -60*a(n-10) -164*a(n-11) +115*a(n-12) -148*a(n-14) +93*a(n-15) +175*a(n-16) -179*a(n-17) -6*a(n-18) +95*a(n-19) -60*a(n-20) -72*a(n-21) +129*a(n-22) -29*a(n-23) -67*a(n-24) +64*a(n-25) -19*a(n-26) -16*a(n-27) +a(n-28) +42*a(n-29) -49*a(n-30) +33*a(n-31) -17*a(n-32) +8*a(n-33) -11*a(n-34) +12*a(n-35) -8*a(n-36) +4*a(n-37) -a(n-38) for n>39

A207788 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

19, 361, 1575, 6418, 22322, 65094, 185613, 486006, 1224264, 2997835, 7098270, 16550130, 37910398, 85814196, 192716626, 429872932, 955654852, 2120317621, 4702504577, 10440375393, 23222416590, 51793064829, 115881126227
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Row 6 of A207785

Examples

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

Formula

Empirical: a(n) = 6*a(n-1) -2*a(n-2) -45*a(n-3) +31*a(n-4) +230*a(n-5) -159*a(n-6) -834*a(n-7) +487*a(n-8) +2216*a(n-9) -1008*a(n-10) -4456*a(n-11) +1746*a(n-12) +6657*a(n-13) -2910*a(n-14) -7371*a(n-15) +5145*a(n-16) +5601*a(n-17) -8497*a(n-18) -1717*a(n-19) +11518*a(n-20) -2645*a(n-21) -12637*a(n-22) +6573*a(n-23) +10402*a(n-24) -8672*a(n-25) -6375*a(n-26) +9440*a(n-27) +1727*a(n-28) -8399*a(n-29) +1708*a(n-30) +6137*a(n-31) -3371*a(n-32) -3728*a(n-33) +4085*a(n-34) +956*a(n-35) -3071*a(n-36) +318*a(n-37) +2176*a(n-38) -1208*a(n-39) -824*a(n-40) +1065*a(n-41) +20*a(n-42) -589*a(n-43) +173*a(n-44) +339*a(n-45) -323*a(n-46) +47*a(n-47) +60*a(n-48) +11*a(n-49) -75*a(n-50) +61*a(n-51) -18*a(n-52) -3*a(n-54) +6*a(n-55) -4*a(n-56) +a(n-57) for n>59

A207789 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically.

Original entry on oeis.org

28, 784, 4000, 19041, 75557, 246087, 786907, 2283773, 6379507, 17308075, 45325727, 117028904, 296766998, 743643327, 1848943779, 4561246099, 11201879231, 27401795310, 66825353776, 162629732740, 395022399526, 958122589330
Offset: 1

Views

Author

R. H. Hardin Feb 20 2012

Keywords

Comments

Row 7 of A207785

Examples

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

Formula

Empirical: a(n) = 6*a(n-1) +a(n-2) -57*a(n-3) +2*a(n-4) +372*a(n-5) +9*a(n-6) -1644*a(n-7) -361*a(n-8) +5248*a(n-9) +2126*a(n-10) -12201*a(n-11) -6267*a(n-12) +20849*a(n-13) +9878*a(n-14) -28011*a(n-15) -2944*a(n-16) +33845*a(n-17) -22050*a(n-18) -42032*a(n-19) +58163*a(n-20) +44881*a(n-21) -89003*a(n-22) -23744*a(n-23) +105839*a(n-24) -24096*a(n-25) -106610*a(n-26) +81635*a(n-27) +79273*a(n-28) -121763*a(n-29) -29894*a(n-30) +134395*a(n-31) -29634*a(n-32) -109644*a(n-33) +75417*a(n-34) +62793*a(n-35) -93657*a(n-36) -14112*a(n-37) +83475*a(n-38) -25574*a(n-39) -51660*a(n-40) +39593*a(n-41) +22671*a(n-42) -38801*a(n-43) +2376*a(n-44) +24687*a(n-45) -11454*a(n-46) -11720*a(n-47) +11729*a(n-48) +2443*a(n-49) -8361*a(n-50) +2496*a(n-51) +3061*a(n-52) -2000*a(n-53) -1350*a(n-54) +2113*a(n-55) -524*a(n-56) -423*a(n-57) +125*a(n-58) +346*a(n-59) -352*a(n-60) +80*a(n-61) +26*a(n-62) +7*a(n-63) -42*a(n-64) +32*a(n-65) -5*a(n-66) -a(n-67) -a(n-68) +2*a(n-69) -a(n-70) for n>76
Showing 1-9 of 9 results.