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 1-4 of 4 results.

A143590 Length of row n of A143589 (a Kolakoski fan).

Original entry on oeis.org

1, 1, 2, 2, 3, 4, 7, 10, 16, 24, 36, 54, 80, 120, 180, 269, 404, 605, 908, 1361, 2041, 3063, 4591, 6890, 10333, 15509, 23259, 34901, 52344, 78516, 117762, 176636, 264944, 397405, 596099, 894193, 1341290, 2011935, 3017927, 4526825
Offset: 1

Views

Author

Clark Kimberling, Aug 25 2008

Keywords

Comments

Conjecture (following Benoit Cloitre's conjecture at A111090):
if L=A143489, then L(n)*(2/3)^n approaches a constant.

Examples

			The first 6 rows of A143589 are 1; 2; 1,1; 2,1; 1,1,2; 2,1,2,2. Their
lengths are 1,1,2,2,3,4.

Crossrefs

Cf. A000002, A111090, A143477, A143586, A143489.

A143591 Number of 1's in row n of A143589 (a Kolakoski fan).

Original entry on oeis.org

1, 0, 2, 1, 2, 1, 4, 4, 8, 12, 18, 28, 40, 60, 91, 134, 203, 302, 455, 681, 1019, 1535, 2292, 3447, 5157, 7759, 11617, 17458, 26172, 39270, 58888, 88328, 132483, 198711, 298005, 447096, 670645, 1005943, 1509029, 2263285
Offset: 1

Views

Author

Clark Kimberling, Aug 25 2008

Keywords

Comments

A143590 = A143591 + A143592.

Examples

			The first 6 rows of A143589 are 1; 2; 1,1; 2,1; 1,1,2; 2,1,2,2. The
respective numbers of 1's are 1,0,2,1,2,1.

Crossrefs

Cf. A000002, A143587, A143589, A143590, A143592.

A143592 Number of 2's in row n of A143589 (a Kolakoski fan).

Original entry on oeis.org

0, 1, 0, 1, 1, 3, 3, 6, 8, 12, 18, 26, 40, 60, 89, 135, 201, 303, 453, 680, 1022, 1528, 2299, 3443, 5176, 7750, 11642, 17443, 26172, 39246, 58874, 88308, 132461, 198694, 298094, 447097, 670645, 1005992, 1508898, 2263540
Offset: 1

Views

Author

Clark Kimberling, Aug 25 2008

Keywords

Comments

A143590 = A143591 + A143592.

Examples

			The first 6 rows of A143589 are 1; 2; 1,1; 2,1; 1,1,2; 2,1,2,2. The
respective numbers of 1's are 0,1,0,1,1,3.

Crossrefs

Cf. A000002, A143587, A143589, A143590, A143591.

A143586 Length of row n of the Kolakoski fan A143477.

Original entry on oeis.org

1, 1, 2, 4, 6, 9, 13, 19, 29, 44, 66, 99, 151, 225, 338, 506, 761, 1138, 1705, 2555, 3835, 5751, 8629, 12953, 19426, 29146, 43723, 65585, 98351, 147501, 221259, 331899, 497861, 746874, 1120279, 1680480, 2520838, 3781134, 5671673, 8507660, 12761336
Offset: 1

Views

Author

Clark Kimberling, Aug 25 2008

Keywords

Comments

Conjecture: if L(n)=A143586(n), then lim(L(n+1)/L(n)) = 3/2. For a more general conjecture see A143589.

Examples

			The first 4 rows of A143477 are
1
2
22
1122. Their lengths are 1,1,2,4.

Crossrefs

Cf. A000002, A143477.
Showing 1-4 of 4 results.

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

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