A275352 -id:A275352 - cp's OEIS frontend

A275347 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

5, 81, 288, 1024, 4100, 16956, 70272, 291320, 1211092, 5070832, 21255328, 89170864, 374453028, 1574982464, 6627474512, 27898519192, 117476409700, 494869331248, 2084962994672, 8785404327328, 37022705828932, 156033713723616

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Column 3 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A275352.

Empirical: a(n) = 4*a(n-1) +12*a(n-2) -48*a(n-3) +66*a(n-4) -210*a(n-5) -1120*a(n-6) +4028*a(n-7) -93*a(n-8) -4098*a(n-9) +27840*a(n-10) -78748*a(n-11) -37816*a(n-12) +204592*a(n-13) -97088*a(n-14) -576*a(n-15) +25984*a(n-16) -12544*a(n-17) for n>20

A275348 Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

14, 486, 1536, 6156, 31536, 175152, 982152, 5645376, 33154200, 197081664, 1176717272, 7054784192, 42406446716, 255340091420, 1538613779712, 9277198809020, 55956031182028, 337589432181096, 2036924853334720

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Column 4 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A275352.

A275349 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

41, 2916, 8192, 38256, 266116, 2130176, 17258544, 142784608, 1211010160, 10285035212, 87568199684, 747721216556, 6400345721356, 54771077737784, 468884291240428, 4015074510069276, 34391615022020280, 294557258897550780

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Column 5 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..204

Cf. A275352.

A275350 Number of nX6 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

122, 17496, 43712, 239112, 2292520, 26615196, 306863916, 3682615020, 45094867336, 548546009720, 6672893379012, 81689346860320, 1000861101302288, 12247744575368296, 149860413965057960, 1835629996533353880

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Column 6 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..86

Cf. A275352.

A275351 Number of nX7 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

365, 104976, 235072, 1530060, 20917472, 351504904, 5814135340, 101593710948, 1804283175916, 31575745629020, 553989175825432, 9795187879275832, 173209703832176748, 3054645736558927796, 53918074086885218288

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Column 7 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..40

Cf. A275352.

A275353 Number of 3Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

5, 54, 288, 1536, 8192, 43712, 235072, 1264832, 6809856, 36666496, 197447168, 1063304448, 5726352128, 30839264512, 166086172928, 894467665408, 4817222467584, 25943536156672, 139721052861440, 752479440667648

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Row 3 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A275352.

Empirical: a(n) = 6*a(n-1) -2*a(n-2) -8*a(n-3) +20*a(n-4) -44*a(n-5) -160*a(n-6) -180*a(n-7) +152*a(n-8) -880*a(n-9) -928*a(n-10) +848*a(n-11) +816*a(n-12) +2752*a(n-13) +2880*a(n-14) +2560*a(n-15) -2048*a(n-16) -4096*a(n-18) for n>20

A275354 Number of 4Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

14, 216, 1024, 6156, 38256, 239112, 1530060, 9861340, 63978000, 416816872, 2721060036, 17793765428, 116463216432, 762750251516, 4997375137216, 32749260871852, 214647538572140, 1406987385055340, 9223158260357292

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Row 4 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A275352.

Empirical: a(n) = 8*a(n-1) -7*a(n-2) -21*a(n-3) +109*a(n-4) -222*a(n-5) -1637*a(n-6) -1753*a(n-7) +4997*a(n-8) -35222*a(n-9) +99987*a(n-10) -192426*a(n-11) +427454*a(n-12) -488826*a(n-13) +530306*a(n-14) -497569*a(n-15) +15083932*a(n-16) +7508480*a(n-17) -6448250*a(n-18) -31426160*a(n-19) -127501000*a(n-20) -100384864*a(n-21) -411105760*a(n-22) +98743024*a(n-23) +328054264*a(n-24) +1816349760*a(n-25) -2229093184*a(n-26) -48225424*a(n-27) -546260224*a(n-28) +3769886144*a(n-29) -3333766656*a(n-30) +9405700992*a(n-31) +655658496*a(n-32) +3745889280*a(n-33) -7061796864*a(n-34) +1526999040*a(n-35) -1038127104*a(n-36) +6676660224*a(n-37) -4144545792*a(n-38) -3583180800*a(n-39) +6019743744*a(n-40) -10319560704*a(n-41) for n>43

A275355 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

41, 864, 4100, 31536, 266116, 2292520, 20917472, 194637328, 1825423200, 17213744212, 162695907792, 1539478009624, 14577399623268, 138078974585332, 1308134484454856, 12394068418883164, 117434501112468568

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Row 5 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

Cf. A275352.

A275356 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

122, 3456, 16956, 175152, 2130176, 26615196, 351504904, 4681346476, 62600128172, 840740447848, 11302164467116, 152036300837588, 2045851077415224, 27533784482988444, 370572411439612120, 4987688003464417032

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Row 6 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..127

Cf. A275352.

A275357 Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

Original entry on oeis.org

365, 13824, 70272, 982152, 17258544, 306863916, 5814135340, 110244645536, 2098489810224, 40114251782424, 766949039546240, 14666714552507552, 280570769528044520, 5367279019878620308, 102680304956049984556

Offset: 1

R. H. Hardin, Jul 24 2016

nonn

Row 7 of A275352.

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

R. H. Hardin, Table of n, a(n) for n = 1..65

Cf. A275352.

cp's OEIS Frontend

A275347 Number of nX3 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275348 Number of nX4 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275349 Number of nX5 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275350 Number of nX6 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275351 Number of nX7 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275353 Number of 3Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275354 Number of 4Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275355 Number of 5Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275356 Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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A275357 Number of 7Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,1) or (-1,-2) and new values introduced in order 0..2.

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