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A130694 Exponents of powers of 2 that contain all ten digits. 8
68, 70, 79, 82, 84, 87, 88, 89, 94, 95, 96, 97, 98, 100, 101, 103, 104, 105, 106, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

It is believed that every power of 2 beyond 2^86 contains the digit 0.

A043537(A000079(a(n))) = 10. - Reinhard Zumkeller, Jul 29 2007

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = n + 91 for n >= 78 (conjectured). - Chai Wah Wu, Jan 27 2020

EXAMPLE

2^68 = 295147905179352825856.

MATHEMATICA

A2 := {}; Do[If[Length[Union[ IntegerDigits[2^ n]]] == 10, A2 = Join[A2, {n}]], {n, 1, 200}]; Print[A2]

Select[Range[200], Min[DigitCount[2^#]]>0&] (* Harvey P. Dale, Aug 03 2019 *)

PROG

(PARI) is_A130694(n)=9<#Set(Vec(Str(1<<n))) \\ M. F. Hasler, Aug 25 2012

CROSSREFS

Cf. A007377, A000079.

Complement of A130696.

Sequence in context: A043871 A269987 A058906 * A269748 A153831 A306113

Adjacent sequences:  A130691 A130692 A130693 * A130695 A130696 A130697

KEYWORD

nonn,base

AUTHOR

Greg Dresden, Jul 10 2007

EXTENSIONS

Displayed terms double-checked by M. F. Hasler, Aug 25 2012

STATUS

approved

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Last modified July 31 06:15 EDT 2021. Contains 346369 sequences. (Running on oeis4.)