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A131535 Least power of 2 having exactly n consecutive 1's in its decimal representation. 1
4, 40, 42, 313, 485, 1841, 8923, 8554, 81783, 165742, 1371683, 1727601 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

a(3)=42 because 2^42(i.e. 4398046511104) is the smallest power of 2 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[2^k], a] == {} || StringPosition[ ToString[2^k], b] != {}, k++ ]; Print[k], {n, 1, 10} ]

CROSSREFS

Sequence in context: A049475 A080271 A104292 * A077329 A169967 A061473

Adjacent sequences:  A131532 A131533 A131534 * A131536 A131537 A131538

KEYWORD

more,nonn,base

AUTHOR

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

EXTENSIONS

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

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Last modified February 17 12:38 EST 2012. Contains 206021 sequences.