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 12 results. Next

A302225 Number of 2Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 3, 14, 45, 146, 537, 1934, 6861, 24386, 86913, 309638, 1102677, 3927050, 13986633, 49814510, 177416541, 631877618, 2250466449, 8015156630, 28546401765, 101669514458, 362101348953, 1289643083966, 4593131945709, 16358681988674
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 2 of A302224.

Examples

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

Crossrefs

Cf. A302224.

Formula

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) +10*a(n-4) +4*a(n-5) for n>6

A302226 Number of 3 X n 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 11, 43, 164, 760, 3425, 15569, 70323, 318438, 1441136, 6522237, 29519913, 133601253, 604673484, 2736676090, 12385962613, 56057588893, 253711291691, 1148272314748, 5196968663084, 23520972129705, 106453623089577
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 3 of A302224.

Examples

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

Crossrefs

Cf. A302224.

Formula

Empirical: a(n) = a(n-1) +17*a(n-2) +12*a(n-3) -59*a(n-4) -83*a(n-5) +10*a(n-6) +87*a(n-7) +108*a(n-8) +22*a(n-9) -104*a(n-10) -71*a(n-11) +2*a(n-13) +a(n-14) +2*a(n-15) for n>17.

A302227 Number of 4Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 34, 194, 934, 6110, 38736, 251254, 1610569, 10296766, 66243864, 424625879, 2726394062, 17497812841, 112298621494, 720825717366, 4626342158809, 29694255667486, 190589162278017, 1223278644711981, 7851527608519228
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 4 of A302224.

Examples

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

Crossrefs

Cf. A302224.

Formula

Empirical: a(n) = 2*a(n-1) +46*a(n-2) -788*a(n-4) -646*a(n-5) +6434*a(n-6) +6201*a(n-7) -28548*a(n-8) -19144*a(n-9) +59264*a(n-10) -8209*a(n-11) +97963*a(n-12) +207006*a(n-13) -1098204*a(n-14) -507314*a(n-15) +3485081*a(n-16) +276950*a(n-17) -5506599*a(n-18) +473443*a(n-19) +2482943*a(n-20) +506556*a(n-21) +8109563*a(n-22) -4109434*a(n-23) -21303483*a(n-24) +5376215*a(n-25) +28671693*a(n-26) -135719*a(n-27) -26171138*a(n-28) -6896727*a(n-29) +15548107*a(n-30) +8991124*a(n-31) -3953690*a(n-32) -5343561*a(n-33) -1641633*a(n-34) +576769*a(n-35) +1453672*a(n-36) +1139326*a(n-37) -138815*a(n-38) -702483*a(n-39) -125657*a(n-40) +244637*a(n-41) +55357*a(n-42) -68301*a(n-43) -34287*a(n-44) +3547*a(n-45) +16186*a(n-46) +4392*a(n-47) -3502*a(n-48) -1602*a(n-49) +56*a(n-50) +268*a(n-51) +140*a(n-52) -16*a(n-53) -16*a(n-54) for n>58

A302219 Number of n X 3 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

1, 14, 43, 194, 675, 2666, 9819, 37382, 140039, 528962, 1989787, 7501790, 28252719, 106464314, 401084083, 1511229542, 5693728487, 21452605794, 80826937611, 304534567726, 1147401249247, 4323099142602, 16288258059235, 61369756239670
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 3 of A302224.

Examples

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

Crossrefs

Cf. A302224.

Formula

Empirical: a(n) = 3*a(n-1) +7*a(n-2) -5*a(n-3) -34*a(n-4) -46*a(n-5) +64*a(n-6) +112*a(n-7) +60*a(n-8) -96*a(n-9) -80*a(n-10) -64*a(n-11).

A302220 Number of nX4 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

2, 45, 164, 934, 4237, 21777, 105585, 523414, 2578424, 12726069, 62802085, 309849336, 1529212139, 7545987106, 37239443170, 183771070484, 906898467298, 4475474508545, 22086156194245, 108993766999235, 537877222587527
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 4 of A302224.

Examples

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

Crossrefs

Cf. A302224.

Formula

Empirical: a(n) = 5*a(n-1) +11*a(n-2) -42*a(n-3) -95*a(n-4) +21*a(n-5) +327*a(n-6) +1255*a(n-7) +317*a(n-8) -5188*a(n-9) -6921*a(n-10) +6005*a(n-11) +22780*a(n-12) +10157*a(n-13) -27962*a(n-14) -42374*a(n-15) -2355*a(n-16) +48767*a(n-17) +45664*a(n-18) -6331*a(n-19) -46138*a(n-20) -32422*a(n-21) +6577*a(n-22) +23809*a(n-23) +15150*a(n-24) -2372*a(n-25) -6308*a(n-26) -2794*a(n-27) -68*a(n-28) +832*a(n-29) +20*a(n-30) for n>34

A302221 Number of n X 5 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

3, 146, 760, 6110, 40395, 292781, 2043848, 14419536, 101511446, 713030990, 5019470018, 35283108018, 248180957058, 1745222920651, 12274305388046, 86321053540385, 607085317234430, 4269538885720366, 30026989609915629
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 5 of A302224.

Examples

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

Crossrefs

Cf. A302224.

Formula

Empirical recurrence of order 92 (see link above).

A302222 Number of nX6 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

5, 537, 3425, 38736, 338204, 3420704, 32181643, 310963650, 2973099477, 28539661221, 273649285789, 2623829240629, 25163515492994, 241281374262345, 2313955414338689, 22188973218594562, 212790004250803955
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 6 of A302224.

Examples

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

Crossrefs

Cf. A302224.

A302223 Number of n X 7 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

8, 1934, 15569, 251254, 3018243, 42508145, 553097760, 7403262824, 97939043966, 1301831347709, 17275065368012, 229303687769069, 3043569120232324, 40395942785616147, 536209245725631300, 7116991167351864042
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Column 7 of A302224.

Examples

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

Crossrefs

Cf. A302224.

A302228 Number of 5Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 111, 675, 4237, 40395, 338204, 3018243, 26373655, 229022022, 2020776808, 17623530150, 154526692002, 1354126269239, 11852307962264, 103884063578946, 909810907872807, 7970268921853663, 69825955304629074, 611653034702238664
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 5 of A302224.

Examples

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

Crossrefs

Cf. A302224.

A302229 Number of 6Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

Original entry on oeis.org

0, 361, 2666, 21777, 292781, 3420704, 42508145, 524715109, 6339899565, 78476978749, 958583337489, 11758190038504, 144419322238672, 1768994677452799, 21718288663168847, 266355912494488737
Offset: 1

Views

Author

R. H. Hardin, Apr 03 2018

Keywords

Comments

Row 6 of A302224.

Examples

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

Crossrefs

Cf. A302224.
Showing 1-10 of 12 results. Next