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Search: id:A071440
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| A071440 |
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Start with 1; add the digits of the previous term and the squares of the digits of the previous term. |
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+0
3
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| 1, 2, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48, 92, 96, 132, 20, 6, 42, 26, 48
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The sequence becomes periodic after ten steps: a(10) = a(2). Period length is 8, length of the preperiodic part is 2. - Other starting values except 9, 90, 900, ... result in sequences which exhibit essentially the same behavior.
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EXAMPLE
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42 -> 4 + 2 + 4^2 + 2^2 = 26, 26 -> 2 + 6 + 2^2 + 6^2 = 48, ...
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PROGRAM
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(PARI) {m=70; a=1; for(j=1, m, print1(a, ", "); n=a; a=0; while(n>0, d=divrem(n, 10); n=d[1]; a=a+(1+d[2])*d[2]))}
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CROSSREFS
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Sequence in context: A000612 A096138 A004153 this_sequence A033936 A098814 A156437
Adjacent sequences: A071437 A071438 A071439 this_sequence A071441 A071442 A071443
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KEYWORD
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nonn,base,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Oct 23 2002
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EXTENSIONS
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Edited and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Oct 24 2002
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