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Search: id:A131418
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| A131418 |
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Number n such that Sum_digits(n)=Sum_digits[n+Sum_digits(n)], with n>=0. |
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+0
3
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| 0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 108, 117, 126, 135, 144, 153, 162, 171, 207, 216, 225, 234, 243, 252, 261, 279, 306, 315, 324, 333, 342, 351, 369, 378, 405, 414, 423, 432, 441, 459, 468, 477, 504, 513, 522, 531, 549, 558, 567, 576, 603, 612, 621, 639
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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n=315 --> 3+1+5=9 --> 315+9=324 --> 3+2+4=9.
n=873 --> 8+7+3=18 --> 873+18=891 --> 8+9+1=18.
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MAPLE
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P:=proc(n) local a, i, k, w; for i from 0 by 1 to n do w:=0; k:=i; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; a:=w; k:=i+w; w:=0; while k>0 do w:=w+k-(trunc(k/10)*10); k:=trunc(k/10); od; if a=w then print(i); fi; od; end: P(1000);
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CROSSREFS
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Cf. A131417.
Sequence in context: A085132 A111708 A044052 this_sequence A130692 A043453 A028439
Adjacent sequences: A131415 A131416 A131417 this_sequence A131419 A131420 A131421
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KEYWORD
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easy,nonn,base
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Jul 09 2007
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