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Search: id:A117789
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| A117789 |
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Lucas numbers which are divisible by the sum of their digits. |
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+0
1
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| 1, 3, 4, 7, 18, 322, 5778, 505019158607, 84722519070079276, 1473646213395791149646646123, 105249261265075663875711417309855979021650214636
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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322 is in the sequence because (1) it is a Lucas number, (2) the sum of its digits is 3+2+2=7, and 322 is divisible by 7.
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PROGRAM
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(PARI) {m=370; a=1; b=3; print1(a, ", ", b, ", "); for(n=3, m, c=b+a; a=b; b=c; s=0; k=b; while(k>0, d=divrem(k, 10); k=d[1]; s=s+d[2]); if(b%s==0, print1(b, ", ")))} - (Klaus Brockhaus)
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CROSSREFS
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Cf. A000204.
Sequence in context: A109749 A041497 A042227 this_sequence A113534 A030724 A124082
Adjacent sequences: A117786 A117787 A117788 this_sequence A117790 A117791 A117792
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KEYWORD
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base,nonn
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AUTHOR
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Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006
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EXTENSIONS
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a(9) corrected, a(10) and a(11) from Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 17 2006
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