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A066349
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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, 775, 531, 335, 956, 722, 239, 219, 192, 393, 732, 222, 223, 313, 122, 361, 233, 722, 331, 326, 119, 192, 332, 191, 933, 121, 637, 172, 222, 223, 228, 319, 133, 111, 111, 771, 322, 432, 337, 223, 223, 191, 129, 719, 337, 337, 325
(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 A066801.
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EXAMPLE
| The factorizations of the first few terms are 3*3*37, 3*5*7*7, 5*5*31, 3*3*59, 5*67, 2*2*239, ... Thus S = [3,3,3,7,3,5,7,7,5,...] and grouping these in sets of three we recover the sequence.
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CROSSREFS
| Sequence in context: A111690 A056089 A066801 * A043503 A202311 A158859
Adjacent sequences: A066346 A066347 A066348 * A066350 A066351 A066352
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KEYWORD
| base,easy,nonn,nice
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AUTHOR
| Evans A Criswell (criswell(AT)itsc.uah.edu), Dec 19 2001
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