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

A281797 Number of nX3 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 6, 75, 324, 865, 2272, 5191, 11141, 22705, 44611, 85366, 160212, 296306, 541784, 981579, 1764938, 3153155, 5602160, 9905073, 17437719, 30580597, 53442733, 93101164, 161719796, 280165812, 484172898, 834830159, 1436409132, 2466624753
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Column 3 of A281802.

Examples

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

Crossrefs

Cf. A281802.

Formula

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +5*a(n-3) +12*a(n-4) -12*a(n-5) -3*a(n-6) +6*a(n-7) -a(n-9) for n>16

A281798 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

3, 38, 372, 1916, 8354, 32524, 117401, 404594, 1345667, 4351562, 13766102, 42771530, 130923764, 395755820, 1183519011, 3506644006, 10305848743, 30072612682, 87197043981, 251401262840, 721134389016, 2059017606124
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Column 4 of A281802.

Examples

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

Crossrefs

Cf. A281802.

Formula

Empirical: a(n) = 11*a(n-1) -43*a(n-2) +57*a(n-3) +39*a(n-4) -102*a(n-5) -89*a(n-6) -2*a(n-7) +400*a(n-8) +345*a(n-9) -801*a(n-10) -1371*a(n-11) +1684*a(n-12) +2038*a(n-13) -1700*a(n-14) -3196*a(n-15) -691*a(n-16) +6737*a(n-17) +5067*a(n-18) -10614*a(n-19) -10149*a(n-20) +14785*a(n-21) +11944*a(n-22) -14624*a(n-23) -14589*a(n-24) +4290*a(n-25) +23532*a(n-26) +6761*a(n-27) -34960*a(n-28) -8032*a(n-29) +45464*a(n-30) -550*a(n-31) -43699*a(n-32) +12453*a(n-33) +25491*a(n-34) -16122*a(n-35) -7485*a(n-36) +9435*a(n-37) -84*a(n-38) -2737*a(n-39) +866*a(n-40) +422*a(n-41) -207*a(n-42) +27*a(n-44) for n>51

A281799 Number of nX5 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

3, 157, 1725, 12318, 71445, 368408, 1770697, 8100180, 35778250, 153961577, 648808393, 2688490346, 10985899831, 44366461753, 177379460528, 703023818561, 2765216924694, 10803620128490, 41957868667589, 162081268856114
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Column 5 of A281802.

Examples

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

Crossrefs

Cf. A281802.

Formula

Empirical recurrence of order 72 (see link above)

A281800 Number of nX6 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

9, 524, 7293, 71290, 575062, 4173476, 28237876, 181908580, 1130079060, 6826668428, 40329856919, 233963451718, 1336918963187, 7542580750766, 42091126713821, 232677185939116, 1275632896739723, 6942735865021594
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Column 6 of A281802.

Examples

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

Crossrefs

Cf. A281802.

A281801 Number of nX7 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

15, 1631, 29665, 396185, 4480480, 45696162, 436154254, 3971817891, 34908793027, 298606378335, 2499056501051, 20543237322520, 166370690422967, 1330405801987723, 10523787698414884, 82464458555125786, 640879467060438623
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Column 7 of A281802.

Examples

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

Crossrefs

Cf. A281802.

A281803 Number of 2 X n 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 0, 6, 38, 157, 524, 1631, 4694, 13006, 34776, 90703, 231788, 582557, 1444328, 3539638, 8590070, 20670737, 49377196, 117193443, 276578138, 649454590, 1518211492, 3534848915, 8200472092, 18962152697, 43716887564, 100516988278
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Row 2 of A281802.

Examples

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

Crossrefs

Cf. A281802.

Formula

Empirical: a(n) = 7*a(n-1) -10*a(n-2) -29*a(n-3) +68*a(n-4) +67*a(n-5) -195*a(n-6) -108*a(n-7) +306*a(n-8) +132*a(n-9) -276*a(n-10) -96*a(n-11) +136*a(n-12) +32*a(n-13) -32*a(n-14).

A281804 Number of 3Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 9, 75, 372, 1725, 7293, 29665, 116539, 442210, 1649985, 6023148, 21692828, 77107557, 271088870, 944377886, 3262534584, 11190762816, 38140286571, 129245999168, 435739937780, 1462231704463, 4886245700669, 16265366134625
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Row 3 of A281802.

Examples

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

Crossrefs

Cf. A281802.

Formula

Empirical: a(n) = 9*a(n-1) -3*a(n-2) -165*a(n-3) +174*a(n-4) +1857*a(n-5) -1933*a(n-6) -15003*a(n-7) +11664*a(n-8) +91286*a(n-9) -42282*a(n-10) -427488*a(n-11) +80567*a(n-12) +1573155*a(n-13) +37911*a(n-14) -4670352*a(n-15) -843348*a(n-16) +11478699*a(n-17) +3372685*a(n-18) -23861544*a(n-19) -8964180*a(n-20) +42660411*a(n-21) +18538695*a(n-22) -66430137*a(n-23) -31623950*a(n-24) +90929253*a(n-25) +45829935*a(n-26) -110111412*a(n-27) -57390339*a(n-28) +118455852*a(n-29) +62728989*a(n-30) -113449548*a(n-31) -60198156*a(n-32) +96763954*a(n-33) +50864487*a(n-34) -73397949*a(n-35) -37857341*a(n-36) +49356480*a(n-37) +24779649*a(n-38) -29276919*a(n-39) -14214696*a(n-40) +15212211*a(n-41) +7107536*a(n-42) -6860061*a(n-43) -3073962*a(n-44) +2652939*a(n-45) +1137840*a(n-46) -866208*a(n-47) -355300*a(n-48) +233904*a(n-49) +91755*a(n-50) -50774*a(n-51) -19062*a(n-52) +8502*a(n-53) +3061*a(n-54) -1029*a(n-55) -357*a(n-56) +80*a(n-57) +27*a(n-58) -3*a(n-59) -a(n-60)

A281805 Number of 4Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 34, 324, 1916, 12318, 71290, 396185, 2143364, 11250451, 57853036, 292724002, 1458437418, 7182757280, 35002131964, 169019645294, 809806421452, 3852574230183, 18214915308180, 85640566518922, 400632266290872
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Row 4 of A281802.

Examples

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

Crossrefs

Cf. A281802.

A281806 Number of 5Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 87, 865, 8354, 71445, 575062, 4480480, 33526931, 246399359, 1768719496, 12506519769, 87220471545, 600957372469, 4100864353926, 27733540904781, 186134535819880, 1240811810649533, 8221127809327654, 54176483907555951
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Row 5 of A281802.

Examples

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

Crossrefs

Cf. A281802.

A281807 Number of 6Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

Original entry on oeis.org

0, 194, 2272, 32524, 368408, 4173476, 45696162, 473403162, 4898077436, 49143504252, 486520814815, 4761050383044, 45945604199909, 439730881714722, 4170492590977309, 39248795804453474, 367025592669372327
Offset: 1

Views

Author

R. H. Hardin, Jan 30 2017

Keywords

Comments

Row 6 of A281802.

Examples

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

Crossrefs

Cf. A281802.
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