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Search: id:A135204
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| A135204 |
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Numbers n for which Sum_digits(n!) is a multiple of Sum_digits(n). |
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+0
3
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| 1, 2, 3, 9, 10, 11, 12, 14, 16, 18, 20, 21, 22, 27, 28, 30, 33, 35, 36, 44, 45, 51, 54, 60, 61, 63, 72, 75, 81, 87, 90, 99, 100, 102, 105, 108, 111, 114, 117, 120, 126, 130, 135, 143, 144, 153, 158, 162, 165, 171, 180, 182, 185, 189, 190, 192, 200, 201, 202, 204, 206
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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11 -> 11*10*9*8*7*6*5*4*3*2*1=39916800 -> (3+9+9+1+6+8+0+0)/(1+1)=18
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MAPLE
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P:=proc(n) local i, k, w, x; for i from 1 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; x:=0; k:=i!; while k>0 do x:=x+k-(trunc(k/10)*10); k:=trunc(k/10); od; if trunc(x/w)=x/w then print(i); fi; od; end: P(1000);
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CROSSREFS
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Cf. A004152, A120390, A108825, A129980, A131954, A131955, A135205, A135206.
Adjacent sequences: A135201 A135202 A135203 this_sequence A135205 A135206 A135207
Sequence in context: A092593 A024816 A007316 this_sequence A037463 A133557 A047475
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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), Nov 30 2007
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