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%I #2 Sep 13 2003 03:00:00
%S 333,735,772,219,337,333,733,377,331,329,331,747,331,338,333,121,313,
%T 333,711,113,133,337,337,911,371,933,733,791,175,333,117,337,113,557,
%U 333,733,133,371,135,573,337,733,719,753,333,531,913,377,337,193,251
%N 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).
%C 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.
%e 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.
%Y Cf. A066349.
%K base,easy,nice,nonn
%O 0,1
%A Evans A Criswell (criswell(AT)itsc.uah.edu), Dec 20 2001
%E More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 03 2003
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