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

A297715 Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

4, 34, 145, 747, 4090, 21116, 110551, 582755, 3055652, 16036278, 84225551, 442157803, 2321279598, 12187515422, 63986012963, 335934438957, 1763713210610, 9259764998068, 48615161059469, 255237152397199, 1340034403055100
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Column 3 of A297720.

Examples

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

Crossrefs

Cf. A297720.

Formula

Empirical: a(n) = a(n-1) +8*a(n-2) +64*a(n-3) +85*a(n-4) +19*a(n-5) -569*a(n-6) -1161*a(n-7) -1173*a(n-8) +125*a(n-9) +1720*a(n-10) +1802*a(n-11) +1328*a(n-12) +240*a(n-13)

A297716 Number of nX4 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

7, 83, 523, 4212, 34319, 268630, 2139403, 17031173, 135252357, 1075372808, 8549266704, 67957631430, 540234143744, 4294582331493, 34139452686352, 271390366832563, 2157405901169113, 17150197736816326, 136334743334987807
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Column 4 of A297720.

Examples

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

Crossrefs

Cf. A297720.

Formula

Empirical: a(n) = 3*a(n-1) +24*a(n-2) +148*a(n-3) +a(n-4) -1021*a(n-5) -4964*a(n-6) -3365*a(n-7) +14900*a(n-8) +63791*a(n-9) +59263*a(n-10) -83516*a(n-11) -380433*a(n-12) -405922*a(n-13) +131684*a(n-14) +1066844*a(n-15) +1293115*a(n-16) +375651*a(n-17) -1152576*a(n-18) -1898898*a(n-19) -1461332*a(n-20) -151258*a(n-21) +959534*a(n-22) +1201063*a(n-23) +549673*a(n-24) -3124*a(n-25) -64542*a(n-26) +95627*a(n-27) +95138*a(n-28) +34462*a(n-29) -13342*a(n-30) -13698*a(n-31) -4566*a(n-32) -1283*a(n-33) -2623*a(n-34) -2996*a(n-35) -3125*a(n-36) -2262*a(n-37) -96*a(n-38) -69*a(n-39) -272*a(n-40) -41*a(n-41) +30*a(n-42)

A297717 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

12, 258, 2717, 36981, 512354, 6812856, 91994155, 1242370107, 16741579726, 225799768740, 3045362800259, 41068189990009, 553851481354328, 7469298996031612, 100731170465697137, 1358466913972452523
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Column 5 of A297720.

Examples

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

Crossrefs

Cf. A297720.

Formula

Empirical recurrence of order 87 (see link above)

A297718 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

21, 865, 14462, 336653, 8103241, 183324631, 4238895126, 98184350818, 2265008802005, 52325664406022, 1208931244861130, 27923747107250179, 645039373054891828, 14900511436264593319, 344198253865046283579
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Column 6 of A297720.

Examples

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

Crossrefs

Cf. A297720.

A297719 Number of nX7 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

37, 2651, 68919, 2699832, 107787351, 4021047904, 154327332017, 5920531350715, 226188909640209, 8657932603026022, 331360189636829166, 12678860316903190032, 485194134262201742340, 18567112995250259829761
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Column 7 of A297720.

Examples

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

Crossrefs

Cf. A297720.

A297721 Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

1, 10, 34, 83, 258, 865, 2651, 8041, 25114, 78356, 242335, 750668, 2331147, 7233125, 22428585, 69571574, 215837630, 669523807, 2076792418, 6442276953, 19984194983, 61990893369, 192295766302, 596503969480, 1850361240315, 5739832532268
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Row 2 of A297720.

Examples

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

Crossrefs

Cf. A297720.

Formula

Empirical: a(n) = 4*a(n-1) -3*a(n-2) +3*a(n-3) -2*a(n-4) -24*a(n-5) +24*a(n-6)

A297722 Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

1, 29, 145, 523, 2717, 14462, 68919, 332306, 1652441, 8140067, 39816114, 195543171, 961617387, 4722204339, 23186542778, 113898106759, 559470061363, 2747805117373, 13496167444555, 66289849507630, 325594360281088
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Row 3 of A297720.

Examples

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

Crossrefs

Cf. A297720.

Formula

Empirical: a(n) = 6*a(n-1) -5*a(n-2) +6*a(n-3) -17*a(n-4) -168*a(n-5) +284*a(n-6) +316*a(n-7) -636*a(n-8) +40*a(n-9) +732*a(n-10) -863*a(n-11) -414*a(n-12) +846*a(n-13) +17*a(n-14) -297*a(n-15) +188*a(n-16) +50*a(n-17) -52*a(n-18)

A297723 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

1, 87, 747, 4212, 36981, 336653, 2699832, 21850022, 183192407, 1522306495, 12548589707, 103837294832, 860631234338, 7123554860826, 58949780986136, 488030041372421, 4040237224677767, 33443991440492758, 276846422291175139
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Row 4 of A297720.

Examples

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

Crossrefs

Cf. A297720.

Formula

Empirical: a(n) = 11*a(n-1) -19*a(n-2) -10*a(n-3) +7*a(n-4) -2556*a(n-5) +9081*a(n-6) +13966*a(n-7) -77241*a(n-8) +72676*a(n-9) +28893*a(n-10) -637255*a(n-11) +1526569*a(n-12) +469389*a(n-13) -3665334*a(n-14) +4814180*a(n-15) -5319769*a(n-16) -8880003*a(n-17) +13767152*a(n-18) +6401349*a(n-19) +14938145*a(n-20) -2934050*a(n-21) -5974311*a(n-22) -80176725*a(n-23) -18087512*a(n-24) +57587221*a(n-25) +39523568*a(n-26) +107797498*a(n-27) -6507215*a(n-28) -30852088*a(n-29) -148569080*a(n-30) -36275312*a(n-31) -27497527*a(n-32) +46067911*a(n-33) +95391349*a(n-34) +24957677*a(n-35) +37407764*a(n-36) -45574161*a(n-37) -8302242*a(n-38) -34381868*a(n-39) +1027606*a(n-40) +1516924*a(n-41) +8588219*a(n-42) +4320054*a(n-43) -9970*a(n-44) -1077284*a(n-45) -1039524*a(n-46) +154880*a(n-47) +6968*a(n-48) +88752*a(n-49) +11840*a(n-50) -11008*a(n-51)

A297724 Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

1, 280, 4090, 34319, 512354, 8103241, 107787351, 1446088760, 20410564866, 284834549399, 3925719705949, 54393595038381, 755754672219017, 10479694450894966, 145249271559341180, 2014480587809008069
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Row 5 of A297720.

Examples

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

Crossrefs

Cf. A297720.

A297725 Number of 6Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 4 neighboring 1s.

Original entry on oeis.org

1, 876, 21116, 268630, 6812856, 183324631, 4021047904, 89397422003, 2107800484124, 48991993784653, 1122852568198335, 25900643054077073, 599236232228096280, 13831438744530944473, 319108863737459622613
Offset: 1

Views

Author

R. H. Hardin, Jan 04 2018

Keywords

Comments

Row 6 of A297720.

Examples

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

Crossrefs

Cf. A297720.
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