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A152776
Numbers such that every run length in base 2 is 3.
4
7, 56, 455, 3640, 29127, 233016, 1864135, 14913080, 119304647, 954437176, 7635497415, 61083979320, 488671834567, 3909374676536, 31274997412295, 250199979298360, 2001599834386887, 16012798675095096, 128102389400760775, 1024819115206086200, 8198552921648689607, 65588423373189516856
OFFSET
1,1
COMMENTS
a(n) is the number whose binary representation is A152775(n).
FORMULA
From R. J. Mathar, Jan 20 2009: (Start)
a(n)= 8*a(n-1) +a(n-2) -8*a(n-3).
G.f.: 7x/((1-x)(1-8x)(1+x)).
a(n)= (-7*(-1)^n-9+16*8^n)/18 = 7*A033118(n). (End)
E.g.f.: (8*(cosh(8*x) - cosh(x) + sinh(8*x)) - sinh(x))/9. - Stefano Spezia, Nov 03 2025
CROSSREFS
KEYWORD
easy,nonn,base
AUTHOR
Omar E. Pol, Jan 18 2009
EXTENSIONS
More terms from R. J. Mathar, Jan 20 2009
STATUS
approved