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Search: id:A131538
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A131538 Least power of 2 having exactly n consecutive 4's in its decimal representation. +0
1
2, 18, 44, 192, 315, 3396, 8556, 13327, 81785, 279267 (list; graph; listen)
OFFSET

1,1

EXAMPLE

a(3)=44 because 2^44(i.e. 17592186044416) is the smallest power of 2 to contain a run of 3 consecutive fours in its decimal form.

MATHEMATICA

a = ""; Do[ a = StringJoin[a, "4"]; b = StringJoin[a, "4"]; k = 1; While[ StringPosition[ ToString[2^k], a] == {} || StringPosition[ ToString[2^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ]

CROSSREFS

Sequence in context: A050594 A098857 A072278 this_sequence A009820 A126909 A139268

Adjacent sequences: A131535 A131536 A131537 this_sequence A131539 A131540 A131541

KEYWORD

more,nonn,base

AUTHOR

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

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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