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.

A208364 Number of n X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

2, 16, 114, 1953, 67396, 4503765, 570085195, 146860432968, 74897509230292, 75596512299763500, 152131706172601320207, 610735743447136550959464, 4881221988286284651358877549, 77769812914565143635925340729415
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Diagonal of A208369

Examples

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

A208365 Number of nX4 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

10, 100, 450, 1953, 9338, 41433, 177909, 774134, 3350020, 14367500, 61642245, 264469320, 1132543047, 4847303685, 20747148598, 88770363000, 379728672366, 1624285944365, 6947428890150, 29713533493473, 127078745348389
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Column 4 of A208369

Examples

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

Formula

Empirical: a(n) = 5*a(n-1) -7*a(n-2) +61*a(n-3) -179*a(n-4) +58*a(n-5) -1068*a(n-6) +1917*a(n-7) +2026*a(n-8) +9988*a(n-9) -9428*a(n-10) -29734*a(n-11) -73148*a(n-12) +26874*a(n-13) +184416*a(n-14) +381506*a(n-15) +1583*a(n-16) -717754*a(n-17) -1330911*a(n-18) -304488*a(n-19) +1765519*a(n-20) +3232917*a(n-21) +1188725*a(n-22) -2826789*a(n-23) -5332371*a(n-24) -2626532*a(n-25) +2852216*a(n-26) +6004925*a(n-27) +3574946*a(n-28) -1517279*a(n-29) -4478716*a(n-30) -3200295*a(n-31) +161307*a(n-32) +2089368*a(n-33) +1784642*a(n-34) +294445*a(n-35) -587058*a(n-36) -585976*a(n-37) -123230*a(n-38) +116114*a(n-39) +125474*a(n-40) -1852*a(n-41) -48554*a(n-42) -34574*a(n-43) +625*a(n-44) +16564*a(n-45) +13467*a(n-46) +4682*a(n-47) -665*a(n-48) -1887*a(n-49) -1477*a(n-50) -427*a(n-51) -99*a(n-52) +76*a(n-53) +46*a(n-54) +9*a(n-55) +a(n-56) -2*a(n-57) -a(n-58)

A208366 Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

16, 256, 1644, 9999, 67396, 422541, 2563359, 15730896, 96081144, 582174000, 3527156073, 21366154944, 129224742827, 781136134575, 4721445779732, 28529589334000, 172355128544728, 1041178745668425, 6289245172035000
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Column 5 of A208369

Examples

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

A208367 Number of nX6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

26, 676, 6186, 52821, 507682, 4503765, 38542393, 334331082, 2885233676, 24682262700, 211197852495, 1807060419576, 15434332682027, 131756292799275, 1124739131632930, 9598207952367000, 81889697535538942, 698632543565035989
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Column 6 of A208369

Examples

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

A208368 Number of nX7 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

42, 1764, 23010, 275769, 3759574, 47178453, 570085195, 6982331490, 85099853444, 1028266559100, 12425457898119, 150136148402568, 1811048511383583, 21834166758810375, 263223641419702766, 3172338713859879000
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Column 7 of A208369

Examples

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

A208370 Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

9, 81, 351, 1953, 9999, 52821, 275769, 1446381, 7572429, 39673377, 207796977, 1088500725, 5701622643, 29865934989, 156441006369, 819457342785, 4292413923915, 22484179383741, 117774808544331, 616918515422625
Offset: 1

Views

Author

R. H. Hardin, Feb 25 2012

Keywords

Comments

Row 4 of A208369.

Examples

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

Crossrefs

Cf. A208369.

Formula

Empirical: a(n) = a(n-1) + 19*a(n-2) + 23*a(n-3) - 26*a(n-4) - 38*a(n-5) + 13*a(n-6) + 15*a(n-7) - 4*a(n-8).
Empirical g.f.: 9*x*(1 + 8*x + 11*x^2 - 16*x^3 - 28*x^4 + 10*x^5 + 15*x^6 - 4*x^7) / ((1 + x)*(1 - 2*x - 17*x^2 - 6*x^3 + 32*x^4 + 6*x^5 - 19*x^6 + 4*x^7)). - Colin Barker, Jul 02 2018

A208371 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

14, 196, 1162, 9338, 67396, 507682, 3759574, 28035840, 208473118, 1552012966, 11548657932, 85951552302, 639647232518, 4760383071360, 35427236540514, 263654460924470, 1962148860235116, 14602566762555450, 108674155940051534
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Row 5 of A208369

Examples

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

Formula

Empirical: a(n) = a(n-1) +41*a(n-2) +78*a(n-3) -153*a(n-4) -363*a(n-5) +253*a(n-6) +566*a(n-7) -276*a(n-8) -324*a(n-9) +165*a(n-10) +29*a(n-11) -15*a(n-12)

A208372 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

21, 441, 3633, 41433, 422541, 4503765, 47178453, 497691495, 5235328875, 55135304931, 580377874461, 6110484281013, 64328902346583, 677252632373457, 7129999455655041, 75063819603876579, 790261545306328809
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Row 6 of A208369

Examples

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

Formula

Empirical: a(n) = 86*a(n-2) +334*a(n-3) -459*a(n-4) -3348*a(n-5) +249*a(n-6) +13148*a(n-7) +1379*a(n-8) -25508*a(n-9) +377*a(n-10) +23840*a(n-11) -4337*a(n-12) -8632*a(n-13) +1927*a(n-14) +1170*a(n-15) -195*a(n-16) -50*a(n-17)

A208373 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 0 1 0 vertically.

Original entry on oeis.org

31, 961, 11067, 177909, 2563359, 38542393, 570085195, 8487780687, 126039261499, 1873614472027, 27839846618695, 413742327695195, 6148396146149603, 91370604275750753, 1357831649082497201, 20178435819755002559
Offset: 1

Views

Author

R. H. Hardin Feb 25 2012

Keywords

Comments

Row 7 of A208369

Examples

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

Formula

Empirical: a(n) = 178*a(n-2) +932*a(n-3) -2956*a(n-4) -23754*a(n-5) +20253*a(n-6) +256486*a(n-7) -113835*a(n-8) -1502278*a(n-9) +783938*a(n-10) +4923968*a(n-11) -3657059*a(n-12) -8430388*a(n-13) +8233841*a(n-14) +6798200*a(n-15) -8443642*a(n-16) -2506050*a(n-17) +4235409*a(n-18) +420518*a(n-19) -1084169*a(n-20) -45082*a(n-21) +134907*a(n-22) +7426*a(n-23) -6196*a(n-24) -610*a(n-25)
Showing 1-9 of 9 results.