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Search: id:A097372
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| A097372 |
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Numbers n such that n=(d_1+6)*(d_2+6)*...*(d_k+6) where d_1 d_2 ... d_k is the decimal expansion of n. |
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+0
6
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| 90, 840, 4320, 59400, 60480, 917280, 2419200, 34992000, 3714984000, 460522782720, 896168448000, 2194698240000, 39109522636800, 229419122688000, 239446056960000, 650997662515200, 3954407288832000, 182279345504256000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Suppose that m is in the sequence and A is set of the digits of m if 4, s times appears in A, then 10^s divides m, also if 9 is in A and at least one even number be in A then 10 divides m, etc. Next term is greater than 130000000.
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EXAMPLE
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34992000 is in the sequence because 34992000=(3+6)*(4+6)*(9+6)*(9+6)*(2+6)*(0+6)*(0+6)*(0+6).
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MATHEMATICA
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Do[h=IntegerDigits[n]; l=Length[h]; If[n==Product[h[[k]]+6, {k, l}], Print[n]], {n, 130000000}]
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CROSSREFS
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Cf. A097371, A098681, A098682.
Cf. A098113, A098114, A097371, A115227.
Sequence in context: A156738 A065949 A051695 this_sequence A101243 A124167 A048548
Adjacent sequences: A097369 A097370 A097371 this_sequence A097373 A097374 A097375
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KEYWORD
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base,nonn
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AUTHOR
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Farideh Firoozbakht (mymontain(AT)yahoo.com), Sep 21 2004
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EXTENSIONS
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More terms from Giovanni Resta (g.resta(AT)iit.cnr.it), Jan 16 2006
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