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

A275085 Number of n X 3 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

3, 36, 192, 1024, 5440, 29120, 155904, 834176, 4463424, 23883904, 127801600, 683853952, 3659249536, 19580378368, 104773120768, 560632993280, 2999904734464, 16052263263232, 85894445131264, 459614672161280
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Examples

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

Crossrefs

Column 3 of A275090.

Formula

Empirical: a(n) = 4*a(n-1) + 4*a(n-2) + 14*a(n-3) + 18*a(n-4) - 8*a(n-5) + 16*a(n-6) + 80*a(n-7) - 32*a(n-8) - 64*a(n-9) for n>10.
Empirical g.f.: x*(3 + 24*x + 36*x^2 + 70*x^3 + 18*x^4 - 48*x^5 + 112*x^6 + 208*x^7 - 160*x^8 - 192*x^9) / (1 - 4*x - 4*x^2 - 14*x^3 - 18*x^4 + 8*x^5 - 16*x^6 - 80*x^7 + 32*x^8 + 64*x^9). - Colin Barker, Jan 31 2019

A275086 Number of nX4 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

6, 96, 508, 3088, 18440, 111900, 675600, 4094240, 24794560, 150165020, 909361668, 5507667148, 33356744732, 202019640344, 1223500857956, 7410005643024, 44877800876060, 271796556988084, 1646101595999968, 9969411699754184
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Column 4 of A275090.

Examples

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

Crossrefs

Cf. A275090.

Formula

Empirical: a(n) = 3*a(n-1) +8*a(n-2) +46*a(n-3) +133*a(n-4) -64*a(n-5) -492*a(n-6) -520*a(n-7) +568*a(n-8) -1592*a(n-9) +1156*a(n-10) +1328*a(n-11) -4992*a(n-12) +1440*a(n-13) +3456*a(n-14) for n>15

A275087 Number of nX5 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

12, 288, 1680, 12816, 87924, 647648, 4706400, 34281472, 248629316, 1807849760, 13148091944, 95586744116, 694768673948, 5050803706792, 36719738878324, 266942014046252, 1940565298670908, 14107383564812316, 102557258518158564
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Column 5 of A275090.

Examples

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

Crossrefs

Cf. A275090.

Formula

Empirical: a(n) = 2*a(n-1) +15*a(n-2) +101*a(n-3) +450*a(n-4) +587*a(n-5) -948*a(n-6) -6010*a(n-7) -692*a(n-8) +18832*a(n-9) -31839*a(n-10) +1958*a(n-11) +58620*a(n-12) -170990*a(n-13) +243302*a(n-14) -278201*a(n-15) +182523*a(n-16) +57164*a(n-17) -121679*a(n-18) +9439*a(n-19) +37154*a(n-20) +841*a(n-21) -863*a(n-22) +182*a(n-23) +60*a(n-24) -6*a(n-25) -2*a(n-26) +a(n-27) for n>28

A275088 Number of nX6 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

24, 864, 5304, 53132, 510680, 5038428, 48675088, 477786368, 4669603380, 45596095332, 445618877780, 4354996501396, 42558814118692, 415901491499748, 4064202093487220, 39716691445365360, 388129218814938872
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Column 6 of A275090.

Examples

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

Crossrefs

Cf. A275090.

Formula

Empirical recurrence of order 64 (see link above)

A275089 Number of nX7 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

48, 2592, 17184, 232156, 2934756, 38872396, 512150588, 6767371752, 89090043684, 1174911360788, 15503814279976, 204476407498760, 2696824987632772, 35568778483055352, 469145522114492964, 6187939649650112040
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Column 7 of A275090.

Examples

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

Crossrefs

Cf. A275090.

A275091 Number of 3Xn 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

5, 81, 192, 508, 1680, 5304, 17184, 54484, 176736, 566532, 1831420, 5898428, 19030840, 61351112, 197821048, 637917924, 2056541796, 6631985064, 21381565940, 68947715488, 222300888872, 716808527616, 2311205195976, 7452291640756
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Row 3 of A275090.

Examples

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

Crossrefs

Cf. A275090.

Formula

Empirical: a(n) = 2*a(n-1) +9*a(n-2) -10*a(n-3) -30*a(n-4) +3*a(n-5) +90*a(n-6) +117*a(n-7) -366*a(n-8) -129*a(n-9) +477*a(n-10) -102*a(n-11) -166*a(n-12) +659*a(n-13) +144*a(n-14) -1305*a(n-15) -317*a(n-16) +1101*a(n-17) +9*a(n-18) -613*a(n-19) +657*a(n-20) -96*a(n-21) -422*a(n-22) +72*a(n-23) +167*a(n-24) +295*a(n-25) -252*a(n-26) -148*a(n-27) +133*a(n-28) +33*a(n-29) +19*a(n-30) -39*a(n-31) +8*a(n-33) +2*a(n-34) -a(n-36) for n>38

A275092 Number of 4Xn 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

14, 486, 1024, 3088, 12816, 53132, 232156, 984288, 4304608, 18686420, 81545856, 355534620, 1548803468, 6754327372, 29407955624, 128203071808, 558360538308, 2433519428172, 10601710686752, 46199290950200, 201293175872408
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Row 4 of A275090.

Examples

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

Crossrefs

Cf. A275090.

Formula

Empirical recurrence of order 84 (see link above)

A275093 Number of 5Xn 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

41, 2916, 5440, 18440, 87924, 510680, 2934756, 16976416, 100163280, 587376672, 3441832776, 20278827840, 119081922956, 699883834544, 4115716304856, 24201876220300, 142224779364880, 836403191956404, 4917486759591212
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Row 5 of A275090.

Examples

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

Crossrefs

Cf. A275090.

A275094 Number of 6Xn 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

122, 17496, 29120, 111900, 647648, 5038428, 38872396, 303675960, 2423227760, 19202061888, 152553328244, 1215089208420, 9668080103560, 76882965502680, 612018920913868, 4870269177219740, 38747349177636904, 308437956528230860
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Row 6 of A275090.

Examples

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

Crossrefs

Cf. A275090.

A275095 Number of 7 X n 0..2 arrays with no element equal to any value at offset (0,-2) (-1,-2) or (-2,-1) and new values introduced in order 0..2.

Original entry on oeis.org

365, 104976, 155904, 675600, 4706400, 48675088, 512150588, 5409118916, 58485063272, 627063902032, 6757273029432, 72848042422536, 785795946135408, 8476340619088292, 91452795188833412, 986763165449841128
Offset: 1

Views

Author

R. H. Hardin, Jul 16 2016

Keywords

Comments

Row 7 of A275090.

Examples

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

Crossrefs

Cf. A275090.
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