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 11 results. Next

A302872 Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 11, 17, 37, 82, 209, 536, 1549, 4513, 13980, 44424, 142457, 463592, 1518144, 4985864, 16423493, 54170895, 178797985, 590488247, 1950654770, 6444889749, 21296082916, 70373480203, 232558689443, 768538881502, 2539828012418
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 3 of A302877.

Examples

			Some solutions for n=5
..0..0..1. .0..0..1. .0..0..1. .0..0..1. .0..1..0. .0..0..1. .0..0..0
..0..1..0. .1..1..1. .0..1..0. .1..1..1. .0..1..0. .1..1..1. .0..1..0
..0..1..0. .1..0..1. .0..1..0. .1..0..1. .0..1..0. .1..0..1. .0..1..0
..0..1..0. .1..0..0. .1..1..0. .1..0..1. .0..0..0. .1..0..1. .0..1..0
..0..0..0. .1..0..1. .0..1..0. .0..1..1. .0..1..1. .1..1..0. .0..1..0
		

Crossrefs

Cf. A302877.

Formula

Empirical: a(n) = 3*a(n-1) +9*a(n-3) -15*a(n-4) -5*a(n-5) -22*a(n-6) -7*a(n-7) +9*a(n-8) -32*a(n-9) -10*a(n-10) -16*a(n-11) -40*a(n-12) -16*a(n-13) for n>16

A302873 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 21, 35, 95, 285, 858, 2938, 11126, 44216, 186565, 819633, 3681703, 16781413, 77160382, 356502109, 1651886591, 7666887125, 35617442101, 165553926866, 769750431744, 3579614404889, 16648148072359, 77431993155630
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 4 of A302877.

Examples

			Some solutions for n=5
..0..1..0..0. .0..0..1..0. .0..1..0..1. .0..0..0..1. .0..1..0..1
..0..1..1..1. .1..1..1..0. .0..1..0..1. .0..1..1..1. .0..1..0..1
..0..1..0..1. .1..0..1..0. .0..1..1..0. .0..1..0..1. .0..1..0..1
..0..1..0..1. .1..0..1..0. .1..0..1..0. .0..1..0..1. .0..1..1..1
..0..1..1..0. .0..1..1..0. .1..0..1..0. .1..0..0..1. .0..1..0..0
		

Crossrefs

Cf. A302877.

Formula

Empirical: a(n) = 5*a(n-1) -a(n-2) +9*a(n-3) -38*a(n-4) -64*a(n-5) -94*a(n-6) -28*a(n-7) +298*a(n-8) +645*a(n-9) +892*a(n-10) +2073*a(n-11) +2812*a(n-12) +1062*a(n-13) -6119*a(n-14) -14380*a(n-15) -15795*a(n-16) -13646*a(n-17) -10955*a(n-18) -6874*a(n-19) +13030*a(n-20) +34925*a(n-21) +45526*a(n-22) +34585*a(n-23) +42419*a(n-24) +53978*a(n-25) +38220*a(n-26) -24564*a(n-27) -75371*a(n-28) -85828*a(n-29) -61780*a(n-30) -29630*a(n-31) -7671*a(n-32) +10349*a(n-33) +15109*a(n-34) +19873*a(n-35) +15144*a(n-36) +11837*a(n-37) +4645*a(n-38) +3040*a(n-39) +2158*a(n-40) +65*a(n-41) -120*a(n-42) -1013*a(n-43) +241*a(n-44) -225*a(n-45) +495*a(n-46) +126*a(n-47) +306*a(n-48) +42*a(n-49) +54*a(n-50) +8*a(n-51) -34*a(n-52) -6*a(n-53) -18*a(n-54) -2*a(n-55) -2*a(n-56) for n>59

A302874 Number of nX5 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 31, 72, 306, 1197, 4849, 23037, 114810, 603229, 3319946, 18585700, 105379875, 603107047, 3467522323, 19998520262, 115602617979, 669078024352, 3875760664026, 22464758703891, 130258464383067, 755475828119163
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 5 of A302877.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..1..1..0..0. .0..1..0..1..1. .0..1..0..0..0
..0..0..1..1..0. .1..1..1..1..1. .0..1..1..0..1. .1..1..0..1..0
..0..1..0..1..0. .1..1..1..0..1. .1..0..1..0..1. .1..1..1..1..0
..0..1..0..1..0. .0..1..1..0..1. .1..0..1..0..1. .1..1..0..0..0
..0..1..1..0..0. .0..1..0..1..1. .1..1..1..0..1. .0..1..0..1..0
		

Crossrefs

Cf. A302877.

A302875 Number of nX6 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

13, 113, 241, 1442, 7580, 45897, 320405, 2489823, 20679119, 181479109, 1638029668, 15055216000, 140041815820, 1311377207833, 12333793776935, 116324158971711, 1098943034315150, 10393405509745294, 98366682504010661, 931394618765660697
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 6 of A302877.

Examples

			Some solutions for n=5
..0..1..0..1..0..1. .0..1..1..0..1..1. .0..1..1..0..1..0. .0..0..0..1..1..1
..0..1..1..1..0..1. .1..0..1..0..0..0. .1..0..1..0..1..0. .0..1..0..1..0..1
..0..0..0..1..0..1. .1..0..1..0..1..0. .1..0..1..0..1..0. .0..1..0..1..0..1
..0..1..1..1..1..0. .1..0..1..0..1..1. .0..0..1..1..0..0. .1..1..0..1..0..1
..0..1..0..0..1..0. .1..0..1..0..1..0. .1..0..1..0..1..0. .0..1..0..1..0..1
		

Crossrefs

Cf. A302877.

A302876 Number of nX7 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

21, 363, 722, 5871, 41498, 359518, 3780984, 44888558, 569313013, 7621363641, 104570444900, 1454457203293, 20411212109809, 287723152198003, 4065886450724385, 57544773261064748, 815093693449992494
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Column 7 of A302877.

Examples

			Some solutions for n=5
..0..1..0..0..0..1..0. .0..1..1..1..1..1..1. .0..1..1..1..0..1..1
..1..1..0..1..1..1..0. .1..0..1..1..0..0..1. .1..1..1..1..1..0..1
..0..1..0..1..0..1..0. .1..0..1..0..1..0..1. .1..1..1..0..0..0..0
..0..0..0..1..0..1..0. .1..0..1..0..1..0..1. .0..1..0..0..0..0..1
..1..1..0..1..1..0..0. .1..0..0..0..1..1..1. .1..0..0..0..0..1..0
		

Crossrefs

Cf. A302877.

A302878 Number of 3Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

4, 6, 17, 35, 72, 241, 722, 1821, 4863, 14841, 43444, 119306, 335624, 985356, 2849009, 8044468, 22928355, 66336411, 190801483, 543986757, 1556622000, 4478561650, 12855871827, 36783013974, 105393294206, 302583744944, 867943015259
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 3 of A302877.

Examples

			Some solutions for n=5
..0..1..1..1..0. .0..1..0..0..0. .0..1..0..1..0. .0..1..0..1..1
..0..1..0..1..0. .1..1..0..1..0. .0..1..0..1..0. .0..1..0..0..0
..0..1..0..1..0. .0..1..0..1..0. .0..1..0..0..0. .0..1..1..1..0
		

Crossrefs

Cf. A302877.

Formula

Empirical: a(n) = a(n-1) +3*a(n-2) +2*a(n-3) +36*a(n-4) -22*a(n-5) -100*a(n-6) -5*a(n-7) -280*a(n-8) +97*a(n-9) +725*a(n-10) -111*a(n-11) +481*a(n-12) -72*a(n-13) -1160*a(n-14) +511*a(n-15) +19*a(n-16) +9*a(n-17) +24*a(n-18) -10*a(n-19) -a(n-20) for n>21

A302879 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 10, 37, 95, 306, 1442, 5871, 21832, 89400, 411068, 1770984, 7282331, 31250009, 139497681, 604440671, 2568314200, 11116864094, 48801680753, 211521061837, 909708854837, 3943937945239, 17186537187421, 74492402195670
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 4 of A302877.

Examples

			Some solutions for n=5
..0..1..0..0..1. .0..1..1..0..1. .0..1..0..0..1. .0..1..1..1..0
..0..0..0..0..0. .1..0..1..0..1. .0..0..0..0..0. .0..0..0..1..0
..1..1..1..0..1. .1..0..1..0..1. .1..1..0..0..1. .1..1..1..1..1
..1..0..0..0..1. .1..0..1..1..0. .1..0..1..0..1. .0..0..1..1..0
		

Crossrefs

Cf. A302877.

Formula

Empirical: a(n) = 2*a(n-1) +9*a(n-2) -a(n-3) +197*a(n-4) -369*a(n-5) -1849*a(n-6) +1185*a(n-7) -9297*a(n-8) +17419*a(n-9) +96934*a(n-10) -64121*a(n-11) +189735*a(n-12) -397855*a(n-13) -2179494*a(n-14) +1449982*a(n-15) -1953412*a(n-16) +5213325*a(n-17) +23546498*a(n-18) -17130545*a(n-19) +9687329*a(n-20) -39431609*a(n-21) -113301551*a(n-22) +101095763*a(n-23) -13652305*a(n-24) +144037950*a(n-25) +111473727*a(n-26) -192684002*a(n-27) -14180716*a(n-28) -92338753*a(n-29) +637491359*a(n-30) -458644178*a(n-31) -178181636*a(n-32) -418135324*a(n-33) -1125465677*a(n-34) +1681486374*a(n-35) +337584642*a(n-36) +257262389*a(n-37) +888728487*a(n-38) -1462999026*a(n-39) -506296467*a(n-40) +450179489*a(n-41) -448543244*a(n-42) -12981540*a(n-43) +230189402*a(n-44) +47001636*a(n-45) +246935888*a(n-46) +107738769*a(n-47) -70677303*a(n-48) -59948120*a(n-49) -23694726*a(n-50) -7999498*a(n-51) -4816966*a(n-52) -48148*a(n-53) +922529*a(n-54) +217690*a(n-55) +49426*a(n-56) -28880*a(n-57) -18874*a(n-58) -2384*a(n-59) -32*a(n-60) for n>64

A302880 Number of 5Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

16, 21, 82, 285, 1197, 7580, 41498, 224087, 1300510, 7961144, 47528608, 279333761, 1677401880, 10223444297, 61648514855, 368974094762, 2225242688063, 13491965168663, 81443512904106, 490081514479072, 2957619899837635
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 5 of A302877.

Examples

			Some solutions for n=5
..0..0..0..0..1. .0..1..0..0..0. .0..1..0..1..0. .0..0..0..1..0
..0..1..0..0..0. .0..1..0..1..1. .1..1..0..1..0. .0..1..0..1..0
..0..1..0..0..0. .1..0..0..0..0. .0..1..0..1..0. .1..1..0..1..0
..0..1..1..0..1. .0..0..0..1..1. .0..0..0..1..0. .1..1..1..1..0
..0..1..0..1..1. .1..0..0..0..0. .1..1..0..1..0. .0..1..1..0..1
		

Crossrefs

Cf. A302877.

A302881 Number of 6Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

32, 42, 209, 858, 4849, 45897, 359518, 2795440, 24612087, 229678996, 2033049729, 17595489212, 158734355515, 1457646451815, 13060861095622, 115840845731074, 1044452206802108, 9479995763726021, 85151645686087391, 761720310814435390
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 6 of A302877.

Examples

			Some solutions for n=5
..0..1..1..1..1. .0..0..0..1..0. .0..0..1..0..1. .0..1..0..1..0
..1..1..1..0..0. .0..1..0..1..0. .1..1..1..0..0. .0..0..0..1..0
..0..1..1..1..1. .0..1..0..1..0. .1..0..0..0..0. .0..1..1..1..0
..1..1..1..0..0. .0..1..0..1..1. .0..0..0..0..1. .0..1..0..1..0
..1..1..0..1..0. .0..0..0..1..0. .1..0..1..1..1. .0..1..0..1..0
..0..1..0..1..0. .1..1..0..1..0. .1..0..0..0..1. .0..1..0..0..1
		

Crossrefs

Cf. A302877.

A302882 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

64, 86, 536, 2938, 23037, 320405, 3780984, 44148194, 588417750, 8234641702, 109042468735, 1419909251038, 19277374758266, 264983349356693, 3552177386205259, 47276138831810619, 639816255891989376
Offset: 1

Views

Author

R. H. Hardin, Apr 15 2018

Keywords

Comments

Row 7 of A302877.

Examples

			Some solutions for n=5
..0..1..0..1..0. .0..1..0..0..1. .0..1..0..0..1. .0..1..1..1..1
..0..1..0..1..0. .0..1..1..1..1. .0..1..0..1..0. .1..1..1..0..1
..0..1..1..1..0. .1..1..1..0..1. .1..1..0..1..0. .1..1..1..0..1
..1..0..1..1..1. .1..1..1..0..1. .0..1..0..1..1. .0..1..1..0..0
..1..0..1..1..0. .0..1..1..0..1. .0..1..0..1..0. .1..1..1..0..1
..0..1..1..0..0. .1..1..1..0..1. .0..1..0..1..0. .0..1..0..1..0
..0..1..0..1..0. .0..1..1..1..1. .0..0..0..1..0. .0..1..1..1..0
		

Crossrefs

Cf. A302877.
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