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A065566 Numbers k such that floor((5/4)^(k+1))/floor((5/4)^k) = 5/4. 2
7, 15, 17, 21, 25, 34, 52, 56, 59, 68, 74, 78, 99, 104, 111, 117, 118, 119, 124, 127, 129, 135, 136, 141, 145, 157, 162, 172, 179, 181, 184, 189, 190, 203, 204, 206, 209, 211, 212, 222, 226, 228, 245, 247, 250, 256, 258, 283, 291, 302, 315, 318, 327, 328, 331 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Also, numbers k such that (5^(k+1) mod 4^(k+1))/(5^k mod 4^k)=5, or A138589(n+1)/A138589(n) = 5. (See the Mathar link in A139768.)
LINKS
FORMULA
Is it true that lim_{n->infinity} a(n)/n = 6?
PROG
(PARI): for(n=1, 700, if(floor((5/4)^(n+1))/floor((5/4)^n)==5/4, print1(n, ", ")))
(PARI) { n=0; f=5/4; for (m=1, 10^9, if ((floor(f^(m + 1))/floor(f^m)) == f, write("b065566.txt", n++, " ", m); if (n==1000, return)) ) } \\ Harry J. Smith, Oct 22 2009
CROSSREFS
Sequence in context: A244536 A237054 A216848 * A329485 A154618 A275190
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Nov 30 2001
EXTENSIONS
More terms from Jason Earls, Dec 03 2001
Edited by N. J. A. Sloane, May 24 2008
STATUS
approved

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Last modified April 12 10:04 EDT 2024. Contains 371627 sequences. (Running on oeis4.)