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A066801
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A self-generating sequence: let S = {}, a(0) = 333; for n >= 1, factorize a(n-1), arrange prime factors in increasing order and append their digits to S; then a(n) is the 3-digit number formed from terms 3n, 3n+1, 3n+2 of S. Leading zeros are omitted from a(n).
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1
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333, 735, 772, 219, 337, 333, 733, 377, 331, 329, 331, 747, 331, 338, 333, 121, 313, 333, 711, 113, 133, 337, 337, 911, 371, 933, 733, 791, 175, 333, 117, 337, 113, 557, 333, 733, 133, 371, 135, 573, 337, 733, 719, 753, 333, 531, 913, 377, 337, 193, 251
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| 333 is the unique 3-digit starting value that produces nontrivial sequences. This is one of the two possible continuations if one starts with 333. For the other see A066349.
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EXAMPLE
| The factorizations of the first few terms are 3*3*37, 3*5*7*7, 2*2*193, 3*73, 337, ... Thus S = [3,3,3,7,3,5,7,7,2,...] and grouping these in sets of three we recover the sequence.
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CROSSREFS
| Cf. A066349.
Sequence in context: A095199 A111690 A056089 * A066349 A043503 A202311
Adjacent sequences: A066798 A066799 A066800 * A066802 A066803 A066804
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KEYWORD
| base,easy,nice,nonn
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AUTHOR
| Evans A Criswell (criswell(AT)itsc.uah.edu), Dec 20 2001
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EXTENSIONS
| More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 03 2003
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