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.

A222329 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..3 array extended with zeros and convolved with 1,1.

Original entry on oeis.org

2, 3, 4, 7, 11, 18, 29, 46, 74, 118, 189, 303, 485, 777, 1244, 1992, 3190, 5108, 8180, 13099, 20976, 33590, 53789, 86135, 137932, 220877, 353701, 566398, 907000, 1452422, 2325832, 3724465, 5964162, 9550695, 15293980, 24490974, 39218556
Offset: 1

Views

Author

R. H. Hardin, Feb 15 2013

Keywords

Comments

Column 3 of A222334.

Examples

			Some solutions for n=6, one extended zero followed by filtered positions:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....0....1....1....1....1....0....0....0....0....0....0....1....0....0
..0....0....0....0....0....0....0....0....1....0....1....0....1....0....1....0
..0....1....1....1....0....0....0....0....0....1....0....1....0....0....0....0
..1....0....0....0....0....1....0....0....0....0....1....0....0....0....0....0
..0....1....0....0....0....0....1....0....0....1....0....0....1....0....0....0
..0....0....1....1....0....0....0....0....0....0....0....0....0....1....1....1

Links

Crossrefs

Cf. A222334.

Formula

Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6) / (1 - x - x^3 - x^5 - x^7). - Colin Barker, Mar 15 2018

A222333 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..7 array extended with zeros and convolved with 1,1.

Original entry on oeis.org

2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2206, 3569, 5773, 9339, 15108, 24440, 39537, 63959, 103467, 167379, 270770, 438026, 708597, 1146301, 1854377, 2999835, 4852848, 7850477, 12699756, 20544460, 33234877, 53764229
Offset: 1

Views

Author

R. H. Hardin, Feb 15 2013

Keywords

Comments

Column 7 of A222334.

Examples

			Some solutions for n=6, one extended zero followed by filtered positions:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....1....1....0....1....0....0....0....0....0....0....0....1....1....0
..0....0....0....0....0....0....0....0....1....0....1....1....1....0....0....0
..1....0....1....1....1....0....0....0....0....0....0....0....0....0....0....1
..0....1....0....0....0....0....0....0....0....0....0....1....0....0....0....0
..1....0....0....1....0....0....0....1....0....0....0....0....1....0....1....0
..0....0....0....0....0....0....1....0....0....0....1....0....0....1....0....1

Links

Crossrefs

Cf. A222334.

Formula

Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9) + a(n-11) + a(n-13) + a(n-15).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11 - x^13 - x^15). - Colin Barker, Mar 15 2018

A222330 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..4 array extended with zeros and convolved with 1,1.

Original entry on oeis.org

2, 3, 4, 7, 11, 18, 29, 47, 76, 122, 197, 317, 511, 824, 1328, 2141, 3451, 5563, 8967, 14454, 23299, 37556, 60538, 97583, 157297, 253552, 408708, 658809, 1061954, 1711796, 2759296, 4447793, 7169533, 11556788, 18628738, 30028229, 48403415
Offset: 1

Views

Author

R. H. Hardin, Feb 15 2013

Keywords

Comments

Column 4 of A222334.

Examples

			Some solutions for n=6, one extended zero followed by filtered positions:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....0....0....0....0....0....1....0....0....0....1....0....0
..0....0....0....0....1....0....0....0....0....0....1....0....1....0....1....0
..0....1....1....1....0....1....0....1....1....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....1....0....0....1....0....0....1
..1....0....1....0....1....1....0....0....0....0....0....1....0....0....0....0
..0....1....0....0....0....0....0....0....1....0....1....0....0....0....0....0

Links

Crossrefs

Cf. A222334.

Formula

Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8) / (1 - x - x^3 - x^5 - x^7 - x^9). - Colin Barker, Aug 15 2018

A222331 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..5 array extended with zeros and convolved with 1,1.

Original entry on oeis.org

2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 321, 519, 838, 1354, 2188, 3535, 5712, 9229, 14912, 24094, 38930, 62901, 101632, 164212, 265325, 428699, 692670, 1119181, 1808316, 2921785, 4720872, 7627745, 12324523, 19913338, 32174960, 51986666
Offset: 1

Views

Author

R. H. Hardin, Feb 15 2013

Keywords

Comments

Column 5 of A222334.

Examples

			Some solutions for n=6, one extended zero followed by filtered positions:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....0....1....1....1....0....0....0....0....0....0....1....1....1....0
..1....0....1....0....0....0....0....0....0....1....0....0....0....0....0....0
..0....1....0....1....0....0....0....1....1....0....0....1....0....1....0....0
..0....0....1....0....1....0....0....0....0....0....1....0....0....0....0....0
..0....1....0....0....0....1....0....0....1....1....0....0....0....0....0....1
..0....0....0....1....0....0....0....1....0....0....0....0....0....0....1....0

Links

Crossrefs

Cf. A222334.

Formula

Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9) + a(n-11).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11). - Colin Barker, Aug 15 2018

A222332 Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,1.

Original entry on oeis.org

2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 842, 1362, 2202, 3561, 5759, 9313, 15061, 24356, 39388, 63697, 103009, 166583, 269393, 435654, 704526, 1139338, 1842502, 2979638, 4818579, 7792458, 12601724, 20379121, 32956489, 53296222
Offset: 1

Views

Author

R. H. Hardin, Feb 15 2013

Keywords

Comments

Column 6 of A222334.

Examples

			Some solutions for n=6, one extended zero followed by filtered positions:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....0....0....0....1....1....0....0....0....0....1....0....1....1....0
..0....0....0....0....1....0....0....0....0....1....0....0....1....0....0....1
..1....1....1....0....0....0....0....0....0....0....1....1....0....0....1....0
..0....0....0....0....0....0....0....1....0....1....0....0....0....0....0....0
..1....0....0....0....1....0....1....0....1....0....0....0....0....0....1....0
..0....0....1....0....0....0....0....0....0....0....0....1....1....1....0....0

Links

Crossrefs

Cf. A222334.

Formula

Empirical: a(n) = a(n-1) + a(n-3) + a(n-5) + a(n-7) + a(n-9) + a(n-11) + a(n-13).
Empirical g.f.: x*(2 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12) / (1 - x - x^3 - x^5 - x^7 - x^9 - x^11 - x^13). - Colin Barker, Aug 16 2018
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement.