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 A100579 Numerator of the best rational approximation to the decimal representation of the digital roots of m^n, m=1,2,.. 2
 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17, 58, 2, 1, 1, 125, 7, 49, 158, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Sequence has period 9. - Nathaniel Johnston, May 05 2011 LINKS FORMULA The digital root of a number m > 0, is d = m mod 9 if d > 0 else d = 9. EXAMPLE Digital roots of 4^n = 1,4,7,1,4,7,1,4,7,1,4,7,... 49/333 = 0.147147147147147147147147147147147,.. 49 is the 4-th entry in the sequence. PROG (PARI) f(n, m) = for(x=0, n, print1(droot(m^x)", ")) droot(n) = \ the digital root of a number. { local(x); x= n%9; if(x>0, return(x), return(9)) } CROSSREFS Cf. A100406, A100601. Sequence in context: A009805 A005080 A174733 * A088403 A077495 A030668 Adjacent sequences:  A100576 A100577 A100578 * A100580 A100581 A100582 KEYWORD base,frac,easy,nonn AUTHOR Cino Hilliard (hillcino368(AT)gmail.com), Jan 02 2005 EXTENSIONS Offset corrected by Nathaniel Johnston, May 05 2011 STATUS approved

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