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A202780 Smallest number whose cube begins and ends with the same n digits, and with any other digit(s) in between. 0
7, 108, 335, 6667, 104636, 333335, 4504625, 70585736, 333333335, 1818181815, 33531510511, 333333333335, 198817904169 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..13.

EXAMPLE

335^3 = 37595375 starts and ends with the same 3 digits.

MATHEMATICA

lst = {}; Do[n = Ceiling[(10^(2*k))^(1/3)]; While[True, d = IntegerDigits[n^3]; If[Take[d, k] == Take[d, -k], Break[]]; n++]; AppendTo[lst, n], {k, 6}]; lst

CROSSREFS

Cf. A161355.

Sequence in context: A156204 A231519 A197447 * A297804 A218819 A033516

Adjacent sequences:  A202777 A202778 A202779 * A202781 A202782 A202783

KEYWORD

base,more,nonn

AUTHOR

Arkadiusz Wesolowski, Jan 06 2012

EXTENSIONS

a(9)-a(10) from Donovan Johnson, Jan 12 2012

a(11)-a(13) from Giovanni Resta, Apr 18 2016

STATUS

approved

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Last modified October 27 23:26 EDT 2020. Contains 338047 sequences. (Running on oeis4.)