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

A232276 Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

9, 199, 1672, 18117, 184115, 1774344, 17764558, 178471267, 1771400531, 17642252587, 176152966672, 1755746806600, 17498252087398, 174492908718136, 1739802753524141, 17345014184699169, 172936211392283816
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Column 3 of A232281

Examples

			Some solutions for n=4
..1..0..2....2..0..0....1..0..0....1..0..0....2..2..1....0..0..2....1..1..0
..0..2..0....0..0..1....0..1..1....0..1..0....1..0..0....2..0..0....0..0..0
..1..0..1....0..0..1....0..0..0....2..0..2....0..0..0....0..2..0....2..0..1
..0..1..2....2..0..0....1..0..2....2..2..0....0..1..0....2..0..0....0..2..2
		

Formula

Empirical: a(n) = 9*a(n-1) -18*a(n-2) +519*a(n-3) -2040*a(n-4) +3043*a(n-5) -74525*a(n-6) +72611*a(n-7) -419003*a(n-8) +2780261*a(n-9) +746621*a(n-10) +13183774*a(n-11) -19468140*a(n-12) -36145594*a(n-13) -110263109*a(n-14) -133899468*a(n-15) +334282595*a(n-16) +329786843*a(n-17) +1622613490*a(n-18) -411666702*a(n-19) -727313352*a(n-20) -3837079952*a(n-21) -4919529456*a(n-22) +1329556928*a(n-23) +366342080*a(n-24) +11429099072*a(n-25) +4372362240*a(n-26) +665206272*a(n-27) +601740288*a(n-28) -11698587648*a(n-29) +503857152*a(n-30) -3370954752*a(n-31) -586579968*a(n-32) +3368189952*a(n-33) -743178240*a(n-34) +1401421824*a(n-35) for n>36

A232277 Number of nX4 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

22, 1066, 23055, 604133, 14477600, 340593196, 8229274953, 198816273957, 4771778176334, 114661580919909, 2759482867367601, 66374333505614072, 1596018810076647451, 38384994946195079464, 923223409958069416038
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Column 4 of A232281

Examples

			Some solutions for n=3
..1..0..0..2....0..0..0..1....1..1..1..2....2..1..1..1....0..0..0..0
..0..0..2..0....2..2..0..0....1..0..0..0....0..0..0..1....0..0..2..1
..0..0..0..0....1..0..0..2....0..1..0..0....2..0..0..0....1..0..0..1
		

A232278 Number of nX5 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

51, 6019, 293426, 17145989, 906702319, 47260154104, 2527067273698, 135096346014359, 7180729990183315, 381960169335469531, 20341063307725322674, 1082966644636722175982, 57643872896878605089600
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Column 5 of A232281

Examples

			Some solutions for n=3
..0..1..0..1..0....2..0..0..0..0....1..0..1..2..1....0..0..2..2..1
..0..0..1..0..0....0..0..2..0..2....0..1..0..1..1....0..1..0..0..2
..2..0..0..0..1....1..0..0..2..1....2..0..0..0..0....0..0..0..2..0
		

A232279 Number of nX6 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

121, 32301, 3476318, 450287974, 52334662011, 6001447087200, 706877889324298, 83179007080796381, 9733054114073214077, 1139937054905055561655, 133655284412610549548634, 15666120906068988686455707
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Column 6 of A232281

Examples

			Some solutions for n=2
..0..0..0..0..0..0....0..1..1..0..1..2....0..0..2..0..0..0....0..0..1..0..0..0
..1..1..0..2..0..1....1..0..0..2..0..0....0..0..0..0..1..1....2..2..0..2..2..0
		

A232280 Number of nX7 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

292, 174400, 43029161, 13094741315, 3511626721526, 933667586918234, 256322282485691293, 70060127952500800937, 19022853021730043369306, 5176615679021925091961553, 1410282603443165709442188397
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Column 7 of A232281

Examples

			Some solutions for n=2
..2..2..0..0..0..1..0....0..2..2..0..0..2..2....0..0..2..0..0..2..2
..1..0..0..0..2..0..2....1..0..0..0..1..2..2....2..0..0..0..0..1..2
		

A232282 Number of 2 X n 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

9, 35, 199, 1066, 6019, 32301, 174400, 944500, 5142177, 27937799, 151639871, 822991186, 4468833656, 24267873410, 131775553922, 715505284261, 3885076657421, 21095823631806, 114549994256771, 622001619001412
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Row 2 of A232281.

Examples

			Some solutions for n=7
..0..2..2..2..0..0..0....0..2..1..1..0..2..0....0..0..0..2..0..0..0
..2..0..0..0..1..0..2....2..0..0..0..2..0..2....0..2..1..0..1..2..2
		

Crossrefs

Cf. A232281.

Formula

Empirical: a(n) = 9*a(n-1) -23*a(n-2) +20*a(n-3) +81*a(n-4) -511*a(n-5) +294*a(n-6) +150*a(n-7) -168*a(n-8) +1692*a(n-9) +432*a(n-10).

A232283 Number of 3Xn 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

27, 104, 1672, 23055, 293426, 3476318, 43029161, 548534827, 6950600398, 86968922214, 1087064387012, 13644752950393, 171525134753339, 2153854540230655, 27023874463279901, 339119484253726298
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Row 3 of A232281

Examples

			Some solutions for n=5
..1..2..1..0..1....0..0..0..2..2....2..0..0..2..2....2..0..0..0..0
..0..0..0..2..0....0..0..0..2..2....0..0..2..1..1....0..1..0..0..1
..0..0..1..0..2....1..0..1..1..2....0..0..2..1..1....1..0..0..0..1
		

Formula

Empirical: a(n) = 17*a(n-1) -98*a(n-2) +588*a(n-3) +891*a(n-4) -17800*a(n-5) +4642*a(n-6) -350550*a(n-7) -1671757*a(n-8) +1440437*a(n-9) -435916*a(n-10) +42118797*a(n-11) +165685573*a(n-12) +44358479*a(n-13) +37766438*a(n-14) -1367958836*a(n-15) -5432870364*a(n-16) -4537452091*a(n-17) -4959053212*a(n-18) +13817886217*a(n-19) +65544479236*a(n-20) +52108911671*a(n-21) +80972024455*a(n-22) -81868345204*a(n-23) -415440639468*a(n-24) -194431306067*a(n-25) -363213397675*a(n-26) +336969295981*a(n-27) +1682460917813*a(n-28) +653421701269*a(n-29) +708229389510*a(n-30) -725984712124*a(n-31) -3500124606193*a(n-32) -911909110638*a(n-33) -348446978889*a(n-34) +455840179665*a(n-35) +3145926964877*a(n-36) +439533410244*a(n-37) -658091997898*a(n-38) -323893058105*a(n-39) -410133925034*a(n-40) +588342140304*a(n-41) +14446254952*a(n-42) -276661103096*a(n-43) +174654369728*a(n-44) -55343615760*a(n-45) -76027661376*a(n-46) +162776070720*a(n-47) -27116758656*a(n-48) -81396731520*a(n-49) +5579953920*a(n-50) +7984396800*a(n-51) +466560000*a(n-52) for n>53

A232284 Number of 4Xn 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

81, 341, 18117, 604133, 17145989, 450287974, 13094741315, 395698652441, 11688008077057, 337938770928273, 9800299647018934, 286640525559424646, 8393401125409013965, 245088532914340963777, 7148359187516040367173
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Row 4 of A232281

Examples

			Some solutions for n=3
..0..0..1....0..1..0....2..1..2....0..0..1....1..2..0....1..0..0....1..0..1
..2..0..0....2..0..1....1..0..0....0..1..2....0..0..1....0..2..1....0..0..0
..0..2..2....1..2..0....0..0..0....2..0..2....1..0..0....0..0..1....1..2..0
..0..0..0....1..0..0....0..2..1....0..0..0....0..2..2....2..0..0....1..0..0
		

A232285 Number of 5Xn 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

243, 1189, 184115, 14477600, 906702319, 52334662011, 3511626721526, 245793785749534, 16580471259914669, 1088358893539229259, 71948883431038065889, 4812375868588744961836, 322008140703858600669198
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Row 5 of A232281

Examples

			Some solutions for n=2
..1..0....0..2....2..2....2..0....0..1....2..0....0..2....0..0....2..1....0..2
..0..0....0..0....2..2....0..2....0..0....0..0....0..0....2..1....0..0....0..0
..0..0....1..0....2..2....0..0....0..0....0..0....0..0....0..0....0..0....0..0
..1..1....0..2....2..2....1..0....0..2....1..1....0..1....0..0....2..0....1..2
..1..1....2..0....0..0....0..2....0..0....0..0....2..0....2..2....0..2....1..1
		

A232286 Number of 6Xn 0..2 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors.

Original entry on oeis.org

729, 4040, 1774344, 340593196, 47260154104, 6001447087200, 933667586918234, 152822604107404316, 23700054790070627876, 3547415716186113564021, 537242807813691258204946, 82687243581225013103289774
Offset: 1

Views

Author

R. H. Hardin, Nov 22 2013

Keywords

Comments

Row 6 of A232281

Examples

			Some solutions for n=2
..0..0....0..0....1..2....1..0....1..1....1..0....0..1....0..0....1..0....1..0
..0..0....1..1....0..0....0..2....2..1....0..1....2..0....2..0....0..0....0..0
..0..0....2..2....0..0....0..0....0..0....0..0....0..1....0..0....0..0....0..0
..0..0....0..0....1..0....0..0....0..0....0..0....0..0....0..0....0..0....0..0
..1..1....0..0....0..1....0..2....1..1....1..2....0..0....0..2....0..0....0..0
..0..0....1..1....1..0....0..0....2..1....0..0....2..0....2..0....2..0....1..2
		
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