

A131547


Least power of 3 having exactly n consecutive 6's in its decimal representation.


9



8, 33, 34, 275, 1385, 539, 8881, 22792, 90785, 107188, 704996, 1847533, 5756980, 9995031, 68353788
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..15.


EXAMPLE

a(3)=34 because 3^34(i.e. 16677181699666569) is the smallest power of 3 to contain a run of 3 consecutive sixes in its decimal form.


MATHEMATICA

a = ""; Do[ a = StringJoin[a, "6"]; b = StringJoin[a, "6"]; k = 1; While[ StringPosition[ ToString[3^k], a] == {}  StringPosition[ ToString[3^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ]


CROSSREFS

Cf. A195269, A131552, A131551, A131550, A131549, A131548, A131546, A131545, A131544.
Sequence in context: A247533 A240547 A031445 * A044085 A319524 A107291
Adjacent sequences: A131544 A131545 A131546 * A131548 A131549 A131550


KEYWORD

more,nonn,base


AUTHOR

Shyam Sunder Gupta, Aug 26 2007


EXTENSIONS

a(11)a(14) from Lars Blomberg, Feb 02 2013
a(15) from Bert Dobbelaere, Mar 04 2019


STATUS

approved



