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 1-9 of 9 results.

A207891 Number of n X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

2, 16, 84, 870, 11196, 205258, 5888458, 243318702, 13997746826, 1221755612002, 156218303323950, 28414320426633740, 7652673923813342076, 3016400502880224884497, 1720903600232362236817474
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Diagonal of A207895

Examples

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

A207892 Number of nX5 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

13, 169, 462, 2446, 11196, 49442, 231900, 1070030, 4844224, 22421336, 103071836, 470766400, 2169072096, 9960748002, 45637352134, 209883232908, 963579009422, 4420355911200, 20311365385702, 93248420528358, 427991086292782
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 5 of A207895

Examples

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

Formula

Empirical: a(n) = 5*a(n-2) +93*a(n-3) +55*a(n-4) -155*a(n-5) -2310*a(n-6) -1767*a(n-7) +2530*a(n-8) +24479*a(n-9) +19496*a(n-10) -21724*a(n-11) -118048*a(n-12) -86251*a(n-13) +80928*a(n-14) +184661*a(n-15) +115235*a(n-16) -40224*a(n-17) +320280*a(n-18) +42178*a(n-19) -373429*a(n-20) -912968*a(n-21) +315033*a(n-22) +519645*a(n-23) -24244*a(n-24) -889210*a(n-25) +150839*a(n-26) +505015*a(n-27) +113924*a(n-28) -323459*a(n-29) +118395*a(n-30) +126286*a(n-31) -90095*a(n-32) +1380*a(n-33) +48458*a(n-34) +19414*a(n-35) -30712*a(n-36) +6513*a(n-37) +8418*a(n-38) -2051*a(n-39) -36*a(n-40) -309*a(n-41) -50*a(n-42) -274*a(n-43) +106*a(n-44) -94*a(n-45) +24*a(n-46) -3*a(n-47) for n>50

A207893 Number of nX6 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

19, 361, 1080, 6952, 38160, 205258, 1153532, 6420722, 35306016, 196164150, 1088708030, 6022687942, 33388715092, 185122745390, 1025484329530, 5683145307278, 31499382991888, 174545900126878, 967280691347214
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 6 of A207895

Examples

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

A207894 Number of nX7 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

28, 784, 2520, 20168, 135714, 856480, 5888458, 39828558, 260749390, 1761010222, 11829617422, 78462173820, 526979351782, 3530615876490, 23530243300772, 157698231146356, 1055466664497864, 7048335728590736, 47191056299318688
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Column 7 of A207895

Examples

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

A207896 Number of 3 X n 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

6, 36, 84, 198, 462, 1080, 2520, 5886, 13746, 32100, 74964, 175062, 408822, 954720, 2229552, 5206662, 12159090, 28395060, 66310836, 154855350, 361632894, 844519416, 1972201800, 4605672606, 10755603282, 25117504404, 58656777396
Offset: 1

Views

Author

R. H. Hardin, Feb 21 2012

Keywords

Comments

Row 3 of A207895.

Examples

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

Crossrefs

Cf. A207895.

Formula

Empirical: a(n) = a(n-1) + 2*a(n-2) + 2*a(n-3) + a(n-4) + a(n-5) for n>6.
Empirical g.f.: 6*x*(1 + 5*x + 6*x^2 + 5*x^3 + 3*x^4 + 2*x^5) / (1 - x - 2*x^2 - 2*x^3 - x^4 - x^5). - Colin Barker, Jun 26 2018

A207897 Number of 4Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

10, 100, 292, 870, 2446, 6952, 20168, 57838, 164914, 473632, 1360740, 3896086, 11165294, 32038792, 91859552, 263284722, 754983634, 2164966616, 6206791972, 17795617610, 51026354878, 146302277604, 419468202104, 1202710746958
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 4 of A207895

Examples

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

Formula

Empirical: a(n) = 3*a(n-2) +10*a(n-3) +18*a(n-4) -2*a(n-5) -22*a(n-6) -7*a(n-7) -12*a(n-9) -8*a(n-10) -6*a(n-11) -6*a(n-12) -3*a(n-13) -a(n-14) +3*a(n-15) +a(n-16) -a(n-17) for n>18

A207898 Number of 5Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

16, 256, 912, 3358, 11196, 38160, 135714, 471374, 1605156, 5575548, 19518498, 67332320, 231918056, 806844660, 2802896674, 9676886468, 33492050252, 116319708822, 402977537782, 1393754905624, 4830422996784, 16750871779658
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 5 of A207895

Examples

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

Formula

Empirical: a(n) = a(n-2) +22*a(n-3) +75*a(n-4) +17*a(n-5) -117*a(n-6) -458*a(n-7) -725*a(n-8) +381*a(n-9) +1016*a(n-10) +1368*a(n-11) +3547*a(n-12) -1145*a(n-13) -4283*a(n-14) -771*a(n-15) -4195*a(n-16) +1201*a(n-17) +5941*a(n-18) -6675*a(n-19) -135*a(n-20) -10857*a(n-21) -5880*a(n-22) +2907*a(n-23) +6297*a(n-24) +14561*a(n-25) +16988*a(n-26) +3747*a(n-27) +11377*a(n-28) -12490*a(n-29) +4260*a(n-30) -14383*a(n-31) +4618*a(n-32) -6234*a(n-33) +3070*a(n-34) -362*a(n-35) -509*a(n-36) +225*a(n-37) -668*a(n-38) -20*a(n-39) -29*a(n-40) +141*a(n-41) +20*a(n-42) +30*a(n-43) +3*a(n-44) -13*a(n-45) +15*a(n-46) +a(n-47) for n>50

A207899 Number of 6Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

26, 676, 2812, 12040, 49442, 205258, 856480, 3559040, 14795830, 61589756, 256239484, 1065818440, 4434375632, 18449465050, 76753459760, 319315656274, 1328477921238, 5526925286486, 22993687059966, 95661297604612
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 6 of A207895

Examples

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

A207900 Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 0 and 1 1 1 vertically.

Original entry on oeis.org

42, 1764, 8928, 47320, 231900, 1153532, 5888458, 29719004, 148308700, 747498440, 3783114924, 19018273952, 95539877180, 481930389188, 2429549328924, 12220600155324, 61525298964898, 310087031694592, 1561597935502608
Offset: 1

Views

Author

R. H. Hardin Feb 21 2012

Keywords

Comments

Row 7 of A207895

Examples

			Some solutions for n=4
..1..1..0..0....1..0..0..1....0..0..1..1....1..1..1..1....1..1..0..0
..1..1..1..0....1..1..0..0....0..0..1..1....0..1..0..0....1..1..0..0
..0..0..1..1....0..1..1..1....1..1..0..0....0..0..1..0....0..0..1..1
..0..1..0..0....1..0..0..1....0..1..1..1....1..1..1..1....1..0..0..1
..1..0..0..1....0..0..1..0....0..0..1..0....1..0..0..1....0..1..1..0
..1..1..1..0....1..1..0..0....1..0..0..1....0..0..1..0....0..1..0..0
..0..1..1..1....0..1..1..1....0..1..1..1....0..1..0..0....1..0..0..1
		
Showing 1-9 of 9 results.