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A131546 Least power of 3 having exactly n consecutive 7's in its decimal representation. 1
3, 11, 112, 184, 721, 3520, 6643, 12793, 67448, 208380 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(3)=112 because 3^112(i.e. 273892744995340833777347939263771534786080723599733441) is the smallest power of 3 to contain a run of 3 consecutive sevens in its decimal form.

MATHEMATICA

a = ""; Do[ a = StringJoin[a, "7"]; b = StringJoin[a, "7"]; k = 1; While[ StringPosition[ ToString[3^k], a] == {} || StringPosition[ ToString[3^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ]

CROSSREFS

Sequence in context: A105413 A183381 A136985 * A068693 A036930 A198085

Adjacent sequences:  A131543 A131544 A131545 * A131547 A131548 A131549

KEYWORD

more,nonn,base

AUTHOR

Shyam Sunder Gupta (guptass(AT)rediffmail.com), Aug 26 2007

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Last modified February 14 23:53 EST 2012. Contains 205689 sequences.