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

A297800 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 105, 1320, 16006, 320168, 5511367, 91376524, 1587468720, 27421636815, 470544728613, 8106158053425, 139669854334501, 2404648275368779, 41411751712923850, 713227235336676149, 12282835762563772060
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Column 6 of A297802.

Examples

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

Crossrefs

Cf. A297802.

A297797 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 11, 37, 108, 533, 2434, 10287, 45968, 207906, 927565, 4149639, 18631844, 83542062, 374482908, 1679592819, 7532686680, 33779595704, 151490828968, 679394507158, 3046851336221, 13664151868643, 61279503538129
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Column 3 of A297802.

Examples

			Some solutions for n=7
..1..1..0. .0..0..0. .1..1..0. .0..1..1. .1..1..0. .0..1..1. .0..0..0
..1..1..1. .0..0..0. .1..1..0. .1..1..0. .0..1..1. .1..1..0. .0..1..0
..0..0..0. .0..0..0. .0..1..1. .0..1..1. .1..1..0. .0..1..1. .1..1..1
..1..1..0. .0..1..1. .0..1..0. .0..0..1. .0..0..0. .0..1..0. .0..0..0
..1..1..0. .0..1..1. .1..0..1. .1..1..1. .0..0..0. .0..0..1. .1..1..0
..0..1..0. .1..1..0. .1..1..1. .1..1..1. .1..1..0. .0..1..1. .1..1..1
..1..1..1. .0..1..1. .1..1..0. .0..1..1. .1..1..0. .0..1..1. .0..0..0
		

Crossrefs

Cf. A297802.

Formula

Empirical: a(n) = 3*a(n-1) +46*a(n-3) -56*a(n-4) +43*a(n-5) -576*a(n-6) +284*a(n-7) -620*a(n-8) +1922*a(n-9) -364*a(n-10) +1288*a(n-11) +884*a(n-12) -496*a(n-13) +504*a(n-14) -352*a(n-15)

A297798 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 24, 100, 422, 2936, 17899, 104985, 645568, 3978117, 24326196, 149160149, 916286494, 5624456404, 34523088073, 211969293298, 1301435980104, 7990173493126, 49057461019439, 301200758005780, 1849287533799779
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Column 4 of A297802.

Examples

			Some solutions for n=7
..0..0..0..0. .0..1..1..0. .0..1..0..0. .0..1..0..0. .0..0..1..0
..1..1..0..0. .0..1..1..1. .1..0..1..1. .1..0..1..0. .1..1..1..1
..1..1..1..0. .1..1..0..1. .0..1..1..0. .0..1..0..0. .0..1..0..0
..0..1..0..0. .0..1..1..0. .0..1..0..0. .0..1..1..1. .0..0..1..1
..0..0..1..0. .0..0..0..0. .1..0..1..0. .0..1..1..1. .0..0..1..1
..0..1..1..0. .0..1..1..1. .0..1..1..0. .0..1..1..0. .0..0..1..1
..0..1..1..0. .1..1..1..0. .1..1..1..1. .0..0..0..0. .0..1..1..0
		

Crossrefs

Cf. A297802.

Formula

Empirical: a(n) = 4*a(n-1) +8*a(n-2) +78*a(n-3) -160*a(n-4) -479*a(n-5) -2307*a(n-6) +1247*a(n-7) +8040*a(n-8) +26223*a(n-9) +7293*a(n-10) -45535*a(n-11) -126351*a(n-12) -93834*a(n-13) +77482*a(n-14) +231611*a(n-15) +268460*a(n-16) +15257*a(n-17) -117778*a(n-18) -296161*a(n-19) -144406*a(n-20) +17812*a(n-21) +175680*a(n-22) +215312*a(n-23) +98502*a(n-24) -77039*a(n-25) -44779*a(n-26) -73938*a(n-27) +43490*a(n-28) +8246*a(n-29) +12107*a(n-30) -1278*a(n-31) -5045*a(n-32) +257*a(n-33) -259*a(n-34) +109*a(n-35) +43*a(n-36) -6*a(n-37)

A297799 Number of n X 5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1's.

Original entry on oeis.org

1, 38, 293, 2195, 23781, 231921, 2174696, 21427001, 209042911, 2021157679, 19682772781, 191557167338, 1861109483653, 18099645301193, 176029730537879, 1711498855651503, 16642558124209570, 161835924673053199
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Column 5 of A297802.

Examples

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

Crossrefs

Cf. A297802.

Formula

Empirical recurrence of order 95 (see link above).

A297801 Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 381, 6215, 115773, 4340367, 123361724, 3420197908, 102189481612, 2993486726263, 87036084096735, 2550795725760992, 74669036575156557, 2183108544954393549, 63879977618932856370, 1869145222162376267997
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Column 7 of A297802.

Examples

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

Crossrefs

Cf. A297802.

A297803 Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 4, 37, 100, 293, 1320, 6215, 24879, 99567, 422308, 1804127, 7556513, 31570236, 132859288, 559967531, 2354250563, 9891690637, 41598759825, 174990998789, 735895232858, 3094315102349, 13012504569964, 54724162019621
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Row 3 of A297802.

Examples

			Some solutions for n=7
..1..1..0..0..0..1..0. .0..0..0..1..1..1..0. .0..0..0..1..1..1..0
..1..1..0..0..1..0..1. .1..1..1..0..0..1..1. .0..1..1..0..1..0..1
..0..1..1..1..0..1..0. .0..1..1..0..1..1..0. .1..1..0..0..0..1..0
		

Crossrefs

Cf. A297802.

Formula

Empirical: a(n) = 4*a(n-1) -4*a(n-2) +19*a(n-3) +32*a(n-4) -91*a(n-5) -260*a(n-7) -403*a(n-8) +590*a(n-9) +467*a(n-10) +69*a(n-11) -380*a(n-12) -48*a(n-13) -115*a(n-14) +216*a(n-15) +359*a(n-16) +36*a(n-17) -221*a(n-18) -89*a(n-19) -5*a(n-20) +12*a(n-21)

A297804 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 7, 108, 422, 2195, 16006, 115773, 738989, 4837309, 32657747, 219582492, 1461795891, 9752902800, 65247730522, 436241303976, 2914287342877, 19473374657852, 130152068036883, 869816886352210, 5812664008298957
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Row 4 of A297802.

Examples

			Some solutions for n=7
..1..1..1..0..0..1..1. .0..1..0..1..1..1..0. .0..0..1..1..0..1..1
..0..1..0..1..0..1..1. .1..0..1..0..0..1..1. .1..1..0..0..1..1..0
..1..1..0..1..1..1..0. .1..1..1..0..0..1..1. .1..1..0..1..0..1..1
..1..1..0..1..1..0..0. .1..1..0..0..0..1..1. .1..1..0..0..1..0..0
		

Crossrefs

Cf. A297802.

Formula

Empirical: a(n) = 6*a(n-1) +2*a(n-2) +19*a(n-3) +170*a(n-4) -1100*a(n-5) -1037*a(n-6) +1524*a(n-7) -7143*a(n-8) +44464*a(n-9) +70155*a(n-10) -178747*a(n-11) -49015*a(n-12) -56143*a(n-13) -605420*a(n-14) +1629247*a(n-15) +789405*a(n-16) -3542455*a(n-17) +1821929*a(n-18) +697014*a(n-19) +1736175*a(n-20) +6611206*a(n-21) -24159699*a(n-22) -6040442*a(n-23) +22645180*a(n-24) -8302835*a(n-25) +45128805*a(n-26) +8483674*a(n-27) -57414625*a(n-28) +51319534*a(n-29) -50987530*a(n-30) -122886914*a(n-31) +26911552*a(n-32) -56579692*a(n-33) -32032745*a(n-34) +210015730*a(n-35) +108215538*a(n-36) +41225268*a(n-37) +191116457*a(n-38) -78974*a(n-39) -97822681*a(n-40) -9791615*a(n-41) -104614992*a(n-42) -103358060*a(n-43) -20219044*a(n-44) -28055103*a(n-45) -51562*a(n-46) +5393515*a(n-47) +7808415*a(n-48) +1717135*a(n-49) -1385069*a(n-50) +1569214*a(n-51) -1224958*a(n-52) +22674*a(n-53) -36312*a(n-54) +21984*a(n-55)

A297805 Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 14, 533, 2936, 23781, 320168, 4340367, 46828204, 531988739, 6428177030, 77067241642, 902041302792, 10619747871090, 125974447710657, 1491769553672883, 17617404647236968, 208221597373256228
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Row 5 of A297802.

Examples

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

Crossrefs

Cf. A297802.

A297806 Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

Original entry on oeis.org

1, 31, 2434, 17899, 231921, 5511367, 123361724, 2122878239, 39737434692, 798393620079, 15715764101797, 301272429965474, 5838287390984909, 114058126922015948, 2220151290688134573, 43095024081743706131
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Row 6 of A297802.

Examples

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

Crossrefs

Cf. A297802.

A297807 Number of 7 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1's.

Original entry on oeis.org

1, 69, 10287, 104985, 2174696, 91376524, 3420197908, 94927605755, 2945816737574, 99198658175214, 3238876596856894, 102656828606240489, 3303272683839553667, 107246494100102584720, 3463595416929051369500, 111526884982514579379392
Offset: 1

Views

Author

R. H. Hardin, Jan 06 2018

Keywords

Comments

Row 7 of A297802.

Examples

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

Crossrefs

Cf. A297802.
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