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A235807 Numbers n such that n^3 has one or more occurrences of exactly five different digits. 5
22, 24, 27, 29, 32, 35, 38, 41, 47, 48, 49, 51, 52, 54, 55, 57, 61, 63, 65, 71, 72, 82, 85, 87, 89, 94, 96, 102, 103, 104, 105, 108, 109, 119, 120, 123, 125, 126, 127, 130, 133, 134, 136, 137, 138, 141, 143, 144, 149, 152, 153, 154, 155, 158, 162, 165, 167 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Colin Barker, Table of n, a(n) for n = 1..1000

EXAMPLE

22 is in the sequence because 22^3 = 10648, which contains exactly five different digits: 0, 1, 4, 6, 8.

87 is in the sequence because 87^3 = 658503, which contains exactly five different digits: 0, 3, 5, 6, 8.

MATHEMATICA

Select[Range[200], Length[Union[IntegerDigits[#^3]]] == 5 &] (* Bruno Berselli, Jan 19 2014 *)

PROG

(PARI) s=[]; for(n=1, 200, if(#vecsort(eval(Vec(Str(n^3))), , 8)==5, s=concat(s, n))); s

(MAGMA) [n: n in [0..200] | #Set(Intseq(n^3)) eq 5]; // Bruno Berselli, Jan 19 2014

(Python)

A235807_list, m = [], [6, -6, 1, 0]

for n in range(1, 10**5+1):

....for i in range(3):

........m[i+1] += m[i]

....if len(set(str(m[-1]))) == 5:

........A235807_list.append(n) # Chai Wah Wu, Nov 05 2014

CROSSREFS

Cf. A030292, A155146, A155147, A235808-A235811, A119735.

Sequence in context: A165483 A067189 A030593 * A244397 A138603 A181454

Adjacent sequences:  A235804 A235805 A235806 * A235808 A235809 A235810

KEYWORD

nonn,base

AUTHOR

Colin Barker, Jan 19 2014

STATUS

approved

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Last modified January 25 06:09 EST 2021. Contains 340416 sequences. (Running on oeis4.)