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Search: id:A100753
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| A100753 |
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Numbers which can be obtained as the product of one or more of their digits (used with multiplicity). |
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+0
2
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| 1, 2, 3, 4, 5, 6, 7, 8, 9, 25, 32, 36, 64, 125, 128, 135, 175, 216, 243, 250, 256, 324, 375, 384, 432, 512, 625, 672, 729, 735, 784, 864, 875, 1024, 1250, 1296, 1372, 1715, 1764, 1792, 2048, 2304, 2500, 2560, 2592, 2744, 2916, 3072, 3087, 3125, 3375, 3456, 3645
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Subsequence of the 7-smooth numbers (A002473).
For 2 <= d <=9, powers of d that contain digit d are in the sequence, e.g. every power of 5 and every odd power of 9.
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EXAMPLE
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64 is a member as 64 = 4*4*4; 135 is a member as 135 = 3*3*3*5.
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PROGRAM
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(PARI) digits29(n) = local(v, d); v=[]; while(n>0, d=divrem(n, 10); n=d[1]; if(d[2]>1, v=concat(d[2], v))); v {recdiv(n, s) = local(b, j, d); b=0; j=1; while(b<1&&j<=length(s), d=divrem(n, s[j]); if(d[2]==0, if(d[1]>1, b=recdiv(d[1], s), b=1)); j++); b} for(n=1, 3650, if(n==1||recdiv(n, digits29(n)), print1(n, ", ")))
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CROSSREFS
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Cf. A002473.
Sequence in context: A095289 A095706 A096867 this_sequence A132416 A128606 A085123
Adjacent sequences: A100750 A100751 A100752 this_sequence A100754 A100755 A100756
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 22 2004
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EXTENSIONS
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Edited, corrected and extended by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Nov 25 2004
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