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 1-10 of 13 results. Next

A214239 Number of 0..7 colorings of a 1 X (n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

1, 1, 4, 11, 41, 162, 715, 3424, 17686, 97493, 567986, 3462537, 21880951, 142148644, 942800317, 6349172750, 43233294236, 296737912815, 2048310985708, 14196341292463, 98674810415941, 687263739609206, 4793697038780159
Offset: 1

Views

Author

R. H. Hardin, Jul 08 2012

Keywords

Comments

Row 1 of A214238.

Examples

			Some solutions for n=4:
..0..1..2..1..2.....0..1..0..2..1.....0..1..0..1..2.....0..1..2..3..1
		

Crossrefs

Cf. A214238.

Formula

Empirical: a(n) = 21*a(n-1) - 168*a(n-2) + 630*a(n-3) - 1029*a(n-4) + 189*a(n-5) + 1198*a(n-6) - 840*a(n-7).
Empirical g.f.: x*(1 - 20*x + 151*x^2 - 535*x^3 + 881*x^4 - 531*x^5) / ((1 - x)*(1 + x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 7*x)).- Colin Barker, Mar 09 2018

A214232 Number of 0..7 colorings of an n X 3 array circular in the 3 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

1, 18, 1067, 133265, 24424881, 5178830173, 1151035900897, 259584805701645, 58806396062245961, 13340621358732645053, 3027723874239883897377, 687250964692442612386525, 156002963224427877529575241
Offset: 1

Views

Author

R. H. Hardin, Jul 08 2012

Keywords

Comments

Column 2 of A214238.

Examples

			Some solutions for n=4:
..0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2....0..1..2
..1..0..3....3..2..4....1..0..3....1..2..0....1..0..3....2..0..1....3..4..0
..0..2..1....0..4..5....3..4..1....3..1..2....2..1..0....0..1..2....2..1..3
..1..0..2....6..1..7....5..1..2....2..0..1....1..0..4....1..0..3....0..2..5
		

Crossrefs

Cf. A214238.

Formula

Empirical: a(n) = 343*a(n-1) - 29965*a(n-2) + 856493*a(n-3) - 7269038*a(n-4) + 11346368*a(n-5).
Empirical g.f.: x*(1 - 325*x + 24858*x^2 - 549839*x^3 + 2539805*x^4) / ((1 - 2*x)*(1 - 11*x)*(1 - 32*x)*(1 - 71*x)*(1 - 227*x)). - Colin Barker, Jul 22 2018

A214233 Number of 0..7 colorings of an nX4 array circular in the 4 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

4, 354, 175884, 188834753, 253155125338, 356734116034266, 508116551730888266, 725424852023224352701, 1036196988923824970841964, 1480269108515044158376950586, 2114704441343238968833690030736
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Column 3 of A214238

Examples

			Some solutions for n=4
..0..1..2..3....0..1..2..1....0..1..0..1....0..1..2..1....0..1..0..1
..1..2..0..2....1..0..1..2....1..2..1..2....3..0..3..4....1..0..1..2
..3..4..1..4....0..2..0..3....2..0..2..3....4..2..1..2....0..1..0..3
..0..1..0..5....4..0..2..1....0..1..0..1....3..1..4..5....1..3..1..0
		

Formula

Empirical: a(n) = 1953*a(n-1) -829512*a(n-2) +119749880*a(n-3) -7217451834*a(n-4) +211005732306*a(n-5) -3163113776744*a(n-6) +24791539817472*a(n-7) -99982144638429*a(n-8) +193376413692421*a(n-9) -161723079970872*a(n-10) +46496477673360*a(n-11)

A214234 Number of 0..7 colorings of an nX5 array circular in the 5 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

11, 7749, 35910351, 283323771619, 2440058302217191, 21284607690377676689, 186014154011114838330931, 1626099752980474200170964309, 14215638367039562675161610116971, 124276276119905578738815409505646829
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Column 4 of A214238

Examples

			Some solutions for n=4
..0..1..0..1..2....0..1..0..1..2....0..1..0..2..1....0..1..0..1..2
..1..2..1..0..3....1..2..1..2..0....1..0..1..3..0....1..2..1..0..3
..2..0..2..1..4....2..0..2..0..3....2..1..2..0..1....0..1..2..4..2
..0..1..3..0..5....0..2..3..1..2....1..4..3..1..3....1..3..4..1..3
		

Formula

Empirical: a(n) = 10629*a(n-1) -17350472*a(n-2) +7613269646*a(n-3) -1150563633112*a(n-4) +68845322541884*a(n-5) -1602676444724896*a(n-6) +14117645719614888*a(n-7) -45952444522339344*a(n-8) +33030412555840128*a(n-9)

A214235 Number of 0..7 colorings of an nX6 array circular in the 6 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

41, 231799, 8769708263, 454598044684573, 24340562361200808002, 1307490178218113697721117, 70256870496804630099054887990, 3775319498973952149349857787464031
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Column 5 of A214238

Examples

			Some solutions for n=4
..0..1..0..1..2..1....0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1
..1..0..3..4..0..2....1..2..1..0..1..0....1..2..1..0..1..3....2..0..1..3..1..0
..0..1..4..2..3..5....0..3..2..3..0..1....0..3..0..1..0..1....0..1..0..1..0..1
..1..6..5..1..0..2....1..2..1..4..5..2....4..5..4..5..6..0....1..0..1..2..1..0
		

A214240 Number of 0..7 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

4, 18, 354, 7749, 231799, 8178855, 318511707, 13046748480, 547969772934, 23296216625352, 996235422019600, 42723792981743991, 1834737810552367569, 78843837462576032709, 3389239985131275364833, 145715407979704223557482
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Row 2 of A214238

Examples

			Some solutions for n=4
..0..1..0..1..2....0..1..0..1..2....0..1..0..1..2....0..1..0..1..2
..1..2..1..2..0....2..3..1..0..1....1..0..1..0..3....1..2..3..0..3
		

Formula

Empirical: a(n) = 66*a(n-1) -867*a(n-2) -8354*a(n-3) +120414*a(n-4) +672756*a(n-5) -3902534*a(n-6) -24478884*a(n-7) +5777547*a(n-8) +189931178*a(n-9) +205081401*a(n-10) -166116762*a(n-11) -207075960*a(n-12)

A214241 Number of 0..7 colorings of a 3X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

34, 1067, 175884, 35910351, 8769708263, 2254551356877, 590331473158067, 155477068701032105, 41028544677007946452, 10833921344703864397903, 2861400614608678698335420, 755792780104880516509618185
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Row 3 of A214238

Examples

			Some solutions for n=4
..0..1..0..1..2....0..1..0..1..2....0..1..2..0..2....0..1..0..1..2
..1..0..1..2..3....1..0..1..0..3....1..0..1..2..0....1..2..1..0..3
..0..2..3..4..1....2..1..0..1..4....0..1..0..1..2....2..3..0..4..5
		

Formula

Empirical: a(n) = 265*a(n-1) +7554*a(n-2) -1867528*a(n-3) -62286057*a(n-4) +2902611121*a(n-5) +125747697424*a(n-6) -732113570102*a(n-7) -67260892111454*a(n-8) -28753862898414*a(n-9) +16985526470239324*a(n-10) +12070258654217672*a(n-11) -2554590879317240826*a(n-12) +2435808355474168314*a(n-13) +237264509331309926184*a(n-14) -768620584759884219588*a(n-15) -12656274586202957694069*a(n-16) +75222969631103645589813*a(n-17) +300273533556710255969314*a(n-18) -3426282900760196815061968*a(n-19) +1862684826195514563217827*a(n-20) +70885929438360326385660853*a(n-21) -229410610506591319332092040*a(n-22) -425685472758512549909477110*a(n-23) +3737448111891699239791610708*a(n-24) -4815222803627645788473735088*a(n-25) -16748767647665181833592963760*a(n-26) +61095743994656339686489703424*a(n-27) -41788255438436976273164042560*a(n-28) -117168547187900314567721804288*a(n-29) +240100016620055726181856792320*a(n-30) -73485025369404006627834739200*a(n-31) -196400767199257030843351277568*a(n-32) +186930489790667567608894439424*a(n-33) -3635545149158889430089400320*a(n-34) -52199287054967923365829017600*a(n-35) +14963130776265241412763648000*a(n-36)

A214242 Number of 0..7 colorings of a 4X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

500, 133265, 188834753, 283323771619, 454598044684573, 735065997384027490, 1191956056605733224970, 1933735654180883217309866, 3137566396458291909863153764, 5090964223672513286041089637863
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Row 4 of A214238

Examples

			Some solutions for n=4
..0..1..0..1..2....0..1..0..1..2....0..1..2..1..2....0..1..0..1..2
..2..3..4..2..0....1..2..1..0..3....1..2..0..2..0....1..0..1..0..3
..3..2..0..3..2....0..1..0..1..2....0..3..2..0..4....2..1..2..3..0
..0..1..2..4..1....2..3..1..0..1....3..5..4..1..5....0..2..0..1..3
		

A214243 Number of 0..7 colorings of a 5X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

10867, 24424881, 253155125338, 2440058302217191, 24340562361200808002, 242410394867671035718980, 2416270345816147538500406891, 24083411126050352415186349035621, 240049352668331592562468551385063287
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Row 5 of A214238

Examples

			Some solutions for n=4
..0..1..0..1..2....0..1..0..2..1....0..1..0..1..2....0..1..0..1..2
..1..0..1..2..3....1..0..1..3..0....2..3..4..2..0....2..0..1..3..0
..0..2..3..4..1....2..1..2..0..1....3..2..0..3..2....3..1..2..4..5
..5..1..2..6..2....1..4..3..1..3....0..1..2..4..1....0..4..0..3..6
..2..7..0..5..3....4..0..2..3..1....1..2..5..3..2....4..6..7..6..7
		

A214245 Number of 0..7 colorings of a 7X(n+1) array circular in the n+1 direction with new values 0..7 introduced in row major order.

Original entry on oeis.org

10856948, 1151035900897, 508116551730888266, 186014154011114838330931, 70256870496804630099054887990, 26406293759960168513776322293277984
Offset: 1

Views

Author

R. H. Hardin Jul 08 2012

Keywords

Comments

Row 7 of A214238

Examples

			Some solutions for n=4
..0..1..2..0..1....0..1..2..0..1....0..1..0..1..2....0..1..0..1..2
..1..0..3..4..2....3..4..5..2..0....1..2..1..0..3....1..0..1..0..3
..0..3..1..2..3....0..5..6..7..2....0..1..0..3..1....2..1..2..3..0
..1..0..4..1..0....4..3..7..3..6....1..2..1..0..2....0..2..0..1..3
..3..1..2..5..2....7..4..5..4..0....0..3..4..1..4....1..4..3..0..2
..1..5..0..2..0....0..2..1..0..6....1..0..1..3..2....2..1..4..2..0
..0..1..2..1..2....6..3..4..1..2....3..1..2..5..1....3..2..0..3..2
		
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