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A066310
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n < (product of digits of n) * (sum of digits of n).
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1
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2, 3, 4, 5, 6, 7, 8, 9, 14, 15, 16, 17, 18, 19, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 42, 43, 44, 45, 46, 47, 48, 49, 52, 53, 54, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 67, 68, 69, 72, 73, 74, 75, 76, 77, 78, 79, 82, 83, 84, 85, 86, 87, 88, 89, 92, 93, 94, 95
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
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EXAMPLE
| 14 < (1*4)*(1+4) = 20, so 14 is a term of this sequence.
n=199, a[n]=(1+9+9).1.9.9=1539>199, so 199 is here.
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MATHEMATICA
| asum[x_] := Apply[Plus, IntegerDigits[x]] apro[x_] := Apply[Times, IntegerDigits[x]] sz[x_] := asu[x]*apro[x] Do[s=sz[n]; If[Greater[s, n], Print[n]], {n, 1, 200}]
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PROG
| (ARIBAS): function a066311(a, b: integer); var n, k, j, p, d: integer; s: string; begin for n := a to b do s := itoa(n); k := 0; p := 1; for j := 0 to length(s) - 1 do d := atoi(s[j..j]); k := k + d; p := p*d; end; if n < p*k then write(n, ", "); end; end; end; a066311(0, 120).
(PARI) SumD(x)= { local(s=0); while (x>9, s+=x%10; x\=10); return(s + x) } ProdD(x)= { local(p=1); while (x>9 && p>0, p*=x%10; x\=10); return(p*x) } { n=0; for (m=1, 10^9, if (m < ProdD(m)*SumD(m), write("b066310.txt", n++, " ", m); if (n==1000, return)) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Feb 10 2010]
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CROSSREFS
| Cf. A038369, A049101-A049106, A034710, A061672, A066306-A066309.
Sequence in context: A075776 A033088 A032577 * A032987 A174876 A092597
Adjacent sequences: A066307 A066308 A066309 * A066311 A066312 A066313
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KEYWORD
| base,nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu) and Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Dec 13 2001
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