## The Yellowstone SequenceFebruary 12, 2015 People in STEM fields learn at lot of mathematics in their lifetime,
a(0) = 0The first few terms of this sequence are 0, 1, 3, 6, 2, 7, 13, 20, 12, 21, 11, 22, 10, 23, 9, 24, 8, 25, 43, 62, 42, 63, 41, 18, 42, 17, 43, 16, 44, 15, 45, 14, 46, 79, 113, 78, 114, and 77. Unlike the Yellowstone sequence, which has each natural number included just once, this sequence has duplicates. The first example of this is that terms a(20) and a(24) are both 42. A graph of the first 100,000 elements appears below.
## References:- David L. Applegate, Hans Havermann, Bob Selcoe, Vladimir Shevelev, N. J. A. Sloane, and Reinhard Zumkeller, "The Yellowstone Permutation," arXiv, January 7, 2015.
- David Applegate, A C++ program to compute terms of integer sequence A098550.
- N. J. A. Sloane, The first 100000 terms of integer sequence A005132.
Linked Keywords: STEM fields; mathematics; number theory; parent; child; children; natural number; Unicode; integer sequence; A000027; The On-Line Encyclopedia of Integer Sequences; computer scientist; A001477; collegiality; colleague; A181975; daydream; sleep; A001745; boredom; boring; prime number; A000040; divisor; arXiv; mathematician; Neil J. A. Sloane; A098550; Cartesian coordinate system; graph; geyser; Yellowstone National Park; park; U.S. state; Wyoming; parity; even; odd; Old Faithful geyser; meter; Wikimedia Commons; greatest common denominator; chart pattern; price chart; volatility; volatile; stock; Gnumeric; computer; experimental mathematics; computer programming; C language; a098550.c; caveat; professional; programmer; desktop computer; David Applegate; C++; mathematical jargon; proof by inspection; straight line; slope; hypothesis; analysis; A005132. |
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