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Search: id:A073909
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| A073909 |
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Smallest number m such that m and the product of digits of m are both divisible by 2n, or 0 if no such number exists. |
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+0
5
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| 2, 4, 6, 8, 0, 168, 378, 48, 36, 0, 0, 168, 0, 476, 0, 288, 0, 1296, 0, 0, 378, 0, 0, 384, 0, 0, 1296, 728, 0, 0, 0, 448, 0, 0, 0, 1368, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, 384, 7742, 0, 0, 0, 0, 1296, 0, 784, 0, 0, 0, 0, 0, 0, 3276, 2688, 0, 0, 0, 0, 0, 0, 0, 3168, 0, 0, 0, 0, 0, 0, 0
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Here 0 is regarded as not divisible by any number.
a[n]=0 if n is divisible by 5 or contains a prime divisor >9. - Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Aug 23 2002
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MAPLE
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f := 2:for i from 1 to 400 do b := ifactors(f*i)[2]:if b[nops(b)][1]>9 or (f*i mod 10) =0 then a[i] := 0:else j := 0:while true do j := j+f*i:c := convert(j, base, 10): d := product(c[k], k=1..nops(c)):if (d mod f*i)=0 and d>0 then a[i] := j:break:fi: od:fi:od:seq(a[k], k=1..400);
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CROSSREFS
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Cf. A073906, A073907, A073908, A073910, A073911, A073912.
Sequence in context: A065804 A135033 A004520 this_sequence A036211 A032763 A004092
Adjacent sequences: A073906 A073907 A073908 this_sequence A073910 A073911 A073912
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 18 2002
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Aug 23 2002
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