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 1-6 of 6 results.

A114611 Eventual period of the RATS sequence, where 0 indicates a divergent sequence.

Original entry on oeis.org

0, 0, 8, 0, 0, 8, 0, 0, 2, 0, 0, 8, 0, 0, 8, 0, 0, 2, 0, 0, 8, 0, 0, 8, 0, 0, 2, 0, 18, 8, 0, 0, 8, 0, 0, 2, 0, 18, 8, 0, 0, 8, 0, 0, 2, 0, 18, 8, 18, 0, 8, 0, 0, 2, 0, 18, 8, 18, 0, 8, 0, 0, 2, 0, 18, 8, 18, 0, 2, 0, 0, 2, 0, 18, 8, 18, 0, 2, 0, 0, 2, 0, 18, 8, 18, 0, 2, 0, 0, 2, 0, 18, 8, 18, 0, 2
Offset: 1

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Author

Eric W. Weisstein, Dec 16 2005

Keywords

Comments

a(A001651(n)) = 0; a(A114612(n)) = 2; a(A114613(n)) = 3; a(A114614(n)) = 8; a(A114615(n)) = 14; a(A114616(n)) = 18. - Reinhard Zumkeller, Mar 14 2012
Row 10 of A288537. - Andrey Zabolotskiy, Jun 14 2017

Crossrefs

A114612 Starting numbers for which the RATS sequence has eventual period 2.

Original entry on oeis.org

9, 18, 27, 36, 45, 54, 63, 69, 72, 78, 81, 87, 90, 96, 99, 108, 114, 117, 120, 126, 135, 144, 153, 156, 162, 171, 180, 189, 198, 207, 213, 216, 225, 234, 243, 252, 255, 261, 270, 279, 288, 297, 306, 312, 315, 324, 333, 342, 351, 354, 360, 369, 378, 387, 396
Offset: 1

Views

Author

Eric W. Weisstein, Dec 16 2005

Keywords

Comments

A114611(a(n)) = 2. - Reinhard Zumkeller, Mar 14 2012

Crossrefs

A114614 Starting numbers for which the RATS sequence has eventual period 8.

Original entry on oeis.org

3, 6, 12, 15, 21, 24, 30, 33, 39, 42, 48, 51, 57, 60, 66, 75, 84, 93, 102, 105, 111, 123, 129, 132, 138, 141, 147, 150, 159, 165, 168, 174, 177, 183, 186, 192, 195, 201, 204, 210, 219, 222, 228, 231, 237, 240, 246, 249, 258, 264, 267, 273, 276, 282, 285, 291
Offset: 1

Views

Author

Eric W. Weisstein, Dec 16 2005

Keywords

Comments

A114611(a(n)) = 8. - Reinhard Zumkeller, Mar 14 2012

Crossrefs

A114615 Starting numbers for which the RATS sequence has eventual period 14.

Original entry on oeis.org

6999, 7089, 7179, 7269, 7359, 7449, 7539, 7629, 7719, 7809, 7998, 8088, 8178, 8268, 8358, 8448, 8538, 8628, 8718, 8808, 8997, 9087, 9177, 9267, 9357, 9447, 9537, 9627, 9699, 9717, 9789, 9807, 9879, 9969, 9996, 10128, 10167, 10185, 10191
Offset: 1

Views

Author

Eric W. Weisstein, Dec 16 2005

Keywords

Comments

A114611(a(n)) = 14. - Reinhard Zumkeller, Mar 14 2012

Crossrefs

A114616 Starting numbers for which the RATS sequence has eventual period 18.

Original entry on oeis.org

29, 38, 47, 49, 56, 58, 65, 67, 74, 76, 83, 85, 92, 94, 110, 112, 118, 134, 137, 140, 142, 154, 155, 181, 187, 196, 209, 211, 217, 229, 233, 236, 239, 241, 253, 254, 259, 280, 286, 295, 299, 308, 310, 316, 319, 328, 329, 332, 335, 338, 340, 352, 353, 358
Offset: 1

Views

Author

Eric W. Weisstein, Dec 16 2005

Keywords

Comments

A114611(a(n)) = 18. - Reinhard Zumkeller, Mar 14 2012

Crossrefs

A209878 RATS: Reverse Add Then Sort the digits applied to previous term, starting with 20169.

Original entry on oeis.org

20169, 111267, 337788, 1122255, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666, 1111113, 2222244, 4446666
Offset: 1

Views

Author

Reinhard Zumkeller, Mar 14 2012

Keywords

Comments

A114613(1) = 20169 is the smallest starting number for a RATS trajectory leading to a cycle of length 3: A114611(20169) = 3;
a(n + 3) = a(n) for n > 4.

Crossrefs

Programs

  • Haskell
    a209878 n = a209878_list !! (n-1)
    a209878_list = iterate a036839 20169
  • Mathematica
    Join[{20169, 111267, 337788, 1122255},LinearRecurrence[{0, 0, 1},{4446666, 1111113, 2222244},25]] (* Ray Chandler, Aug 25 2015 *)

Formula

a(n + 1) = A036839(a(n)).
Showing 1-6 of 6 results.