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A154808
Numbers such that every run length in base 2 is 5.
3
31, 992, 31775, 1016800, 32537631, 1041204192, 33318534175, 1066193093600, 34118178995231, 1091781727847392, 34937015291116575, 1117984489315730400, 35775503658103372831, 1144816117059307930592, 36634115745897853778975
OFFSET
1,1
COMMENTS
a(n) is the number whose binary representation is A154807(n).
FORMULA
Conjecture: a(n) = (-33-31*(-1)^n+2^(6+5*n))/66. g.f.: 31*x / ((x-1)*(x+1)*(32*x-1)). - Colin Barker, Sep 16 2013
MATHEMATICA
FromDigits[#, 2]&/@Table[PadRight[{}, 5n, {1, 1, 1, 1, 1, 0, 0, 0, 0, 0}], {n, 20}] (* or *) LinearRecurrence[{32, 1, -32}, {31, 992, 31775}, 20] (* Harvey P. Dale, May 08 2016 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Omar E. Pol, Jan 25 2009
EXTENSIONS
More terms from Sean A. Irvine, Feb 21 2010
STATUS
approved