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 1-5 of 5 results.

A207875 Number of nX4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

Original entry on oeis.org

9, 81, 164, 400, 824, 1940, 4200, 9276, 21004, 46026, 102674, 228630, 506868, 1128070, 2505156, 5569740, 12380188, 27502690, 61145106, 135886522, 301975112, 671190932, 1491685306, 3315241202, 7368059728, 16375432824, 36394465410
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 4 of A207879

Examples

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

Links

Formula

Empirical: a(n) = 2*a(n-2) +7*a(n-3) +4*a(n-4) -3*a(n-5) -17*a(n-6) -5*a(n-7) +7*a(n-8) +2*a(n-9) -13*a(n-10) -a(n-11) -2*a(n-12) for n>14

A207876 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

Original entry on oeis.org

13, 169, 336, 824, 1648, 4160, 8892, 19710, 44868, 100056, 224792, 497348, 1123364, 2520128, 5603808, 12569064, 28201200, 63082040, 140941364, 315874560, 707891088, 1582568420, 3541951148, 7935579276, 17763012916, 39742042856
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 5 of A207879

Examples

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

Links

Formula

Empirical: a(n) = a(n-2) +8*a(n-3) +7*a(n-4) -28*a(n-6) -4*a(n-7) +19*a(n-8) +36*a(n-9) -24*a(n-10) -18*a(n-11) -6*a(n-12) +10*a(n-14) for n>20

A207877 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

Original entry on oeis.org

19, 361, 702, 1940, 4160, 10742, 24952, 61530, 143916, 341856, 844144, 1976858, 4722206, 11490150, 27386568, 65256342, 157156516, 378403428, 901805910, 2160944164, 5211084366, 12459269388, 29798331568, 71701305774, 171968197128
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 6 of A207879

Examples

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

Links

Formula

Empirical: a(n) = 2*a(n-2) +16*a(n-3) +8*a(n-4) -24*a(n-5) -115*a(n-6) -22*a(n-7) +125*a(n-8) +346*a(n-9) -15*a(n-10) -362*a(n-11) -654*a(n-12) +63*a(n-13) +326*a(n-14) +940*a(n-15) -35*a(n-16) -527*a(n-17) -658*a(n-18) -497*a(n-19) +552*a(n-20) +390*a(n-21) +320*a(n-22) +60*a(n-23) -352*a(n-24) -8*a(n-25) -192*a(n-26) +96*a(n-27) for n>33

A207878 Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

Original entry on oeis.org

28, 784, 1488, 4200, 8892, 24952, 51696, 136490, 313524, 741944, 1781472, 4256398, 10168008, 23945116, 57760744, 138028240, 325742600, 781955124, 1868173840, 4441180174, 10581963516, 25315989248, 60356380176, 143569382950
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 7 of A207879

Examples

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

Links

Formula

Empirical: a(n) = 2*a(n-2) +16*a(n-3) +9*a(n-4) -30*a(n-5) -124*a(n-6) -40*a(n-7) +210*a(n-8) +544*a(n-9) +116*a(n-10) -950*a(n-11) -1335*a(n-12) -420*a(n-13) +2586*a(n-14) +2672*a(n-15) +1600*a(n-16) -5088*a(n-17) -5011*a(n-18) -2288*a(n-19) +4642*a(n-20) +9096*a(n-21) +3040*a(n-22) -912*a(n-23) -10304*a(n-24) -6144*a(n-25) -436*a(n-26) +4768*a(n-27) +6648*a(n-28) +1728*a(n-29) -528*a(n-30) -3456*a(n-31) -2016*a(n-32) +1152*a(n-34) for n>40

A207874 Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 1 0 and 1 1 1 vertically.

Original entry on oeis.org

2, 16, 72, 400, 1648, 10742, 51696, 380632, 2048344, 17181610, 99927528, 1001175276, 6019939360, 76617072388, 455429901920, 7551993118538, 45011858516784, 1023575674079354, 6041127787154280
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Diagonal of A207879

Examples

			Some solutions for n=4
..0..1..0..0....0..1..0..0....1..0..0..1....0..0..1..0....1..0..0..1
..1..1..0..0....0..1..0..0....0..1..1..1....1..1..1..0....1..1..0..0
..1..0..0..1....1..0..0..1....0..1..1..0....1..1..0..0....0..1..1..0
..0..0..1..1....1..0..0..1....1..0..0..1....0..0..1..1....0..0..1..1
Showing 1-5 of 5 results.

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