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Search: id:A122030
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| A122030 |
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See Comments lines for definition. |
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+0
3
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| 16, 38, 200, 2324, 1189028, 4996371438596, 54444310605180563002616118404, 13339299616354273381896572227960653864789689154032245560669360613873488570932176\ 91444
(list; graph; listen)
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OFFSET
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4,1
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COMMENT
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Let "N_b" denote "N read in base b" and let "N" denote "N written in base 10" (as in normal life). The sequence is given by 16, 16_32, 16_(32_64), 16_(32_(64_128)), etc., or in other words
......16....16.....16.....16.......etc.
..............32.....32.....32.........
.......................64.....64.......
................................128....
where the subscripts are evaluated from the bottom upwards
More precisely, "N_b" means "Take decimal expansion of N and evaluate it as if it were a base-b expansion".
The next term is too large to include.
A "dungeon" of numbers.
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REFERENCES
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David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons, Problem 11286, Amer. Math. Monthly, 116 (2009) 466-467.
David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing, in "The Mathematics of Preference, Choice and Order: Essays in Honor of Peter Fishburn", edited by Steven Brams, William V. Gehrlein and Fred S. Roberts, Springer, 2009, pp. 393-402.
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LINKS
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David Applegate, Marc LeBrun and N. J. A. Sloane, Descending Dungeons and Iterated Base-Changing (arXiv:math.NT/0611293).
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CROSSREFS
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Cf. A121863, A121263, A121266, A121264, A121265, A121295, A121296, A111050, A121866, A121864.
Sequence in context: A070587 A070586 A166112 this_sequence A122029 A070585 A121375
Adjacent sequences: A122027 A122028 A122029 this_sequence A122031 A122032 A122033
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KEYWORD
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nonn,base
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Aug 31 2006
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