A119517 - OEIS

A119517

The first 10 digits of the cube root of n contain the digits 0-9.

2017, 3053, 9950, 15139, 15533, 18357, 24214, 24424, 31457, 32654, 39605, 46705, 47776, 57692, 60448, 65839, 65854, 66999, 67405, 68512, 70239, 73985, 74283, 74493, 77913, 79600, 82431, 83311, 84467, 91571, 95557

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OFFSET

1,1

COMMENTS

i = 2 produces A113507 in the PARI script.

LINKS

Table of n, a(n) for n=1..31.

EXAMPLE

n=9950. n^(1/3) = 21.50837964..., so 9950 is the third entry.

MATHEMATICA

Select[Range[100000], Sort[RealDigits[Surd[#, 3], 10, 10][[1]]]==Range[0, 9]&] (* Harvey P. Dale, Jan 22 2013 *)

PROG

(PARI) \\ The first 10 digits of i-th root of x contain all of the digits 0-9. rootdigits(n, i) = { local(f, x, y, a, d, s); for(x=2, n, f=[0, 0, 0, 0, 0, 0, 0, 0, 0, 0]; s=0; y=(x^(1/i))*10^9; a=Vec(Str(y)); for(d=1, 10, k=eval(a[d]); if(k==0, k=10); f[k]=1; ); for(j=1, 10, s+=f[j]); if(s==10, print1(x", ")); ) }

CROSSREFS

Cf. A113507.

Sequence in context: A110851 A282331 A183768 * A252334 A252327 A252326

Adjacent sequences: A119514 A119515 A119516 * A119518 A119519 A119520

KEYWORD

base,easy,nonn

AUTHOR

Cino Hilliard, May 27 2006

STATUS

approved