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Search: id:A131552
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A131552 Least power of 3 having exactly n consecutive 1's in its decimal representation. +0
1
4, 19, 93, 334, 841, 3404, 7271, 7720, 44152, 406774 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(3)=93 because 3^93(i.e. 235655016338368235499067731945871638181119123) is the smallest power of 3 to contain a run of 3 consecutive ones in its decimal form.

MATHEMATICA

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

CROSSREFS

Sequence in context: A004253 A151253 A121179 this_sequence A122369 A005978 A083065

Adjacent sequences: A131549 A131550 A131551 this_sequence A131553 A131554 A131555

KEYWORD

more,nonn,base

AUTHOR

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

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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