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A131536 Least power of 2 having exactly n consecutive 2's in its decimal representation. 0
1, 51, 43, 692, 314, 2354, 8555, 13326, 81784, 279272, 865356, 1727608, 1727602 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

EXAMPLE

a(3)=43 because 2^43(i.e. 8796093022208) is the smallest power of 2 to contain a run of 3 consecutive twos in its decimal form.

MATHEMATICA

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

CROSSREFS

Sequence in context: A160474 A033371 A191514 * A204375 A003912 A039932

Adjacent sequences:  A131533 A131534 A131535 * A131537 A131538 A131539

KEYWORD

more,nonn,base

AUTHOR

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

EXTENSIONS

3 more terms from Sean A. Irvine (sairvin(AT)xtra.co.nz), Jul 19 2010

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