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A098486 Odd numbers with replacement of all prime factors 3 by 2. 3

%I #12 Mar 06 2016 16:25:07

%S 1,2,5,7,4,11,13,10,17,19,14,23,25,8,29,31,22,35,37,26,41,43,20,47,49,

%T 34,53,55,38,59,61,28,65,67,46,71,73,50,77,79,16,83,85,58,89,91,62,95,

%U 97,44,101,103,70,107,109,74,113,115,52,119,121,82,125,127,86,131,133

%N Odd numbers with replacement of all prime factors 3 by 2.

%C This sequence occurred in an analysis of A098003, see link.

%H Ivan Neretin, <a href="/A098486/b098486.txt">Table of n, a(n) for n = 1..10000</a>

%H Keith Ramsay, <a href="http://groups.google.com/group/sci.math/msg/d11ac58ab66884ed">Recursively Rotated Permutation.</a> Posting in newsgroup sci.math, Sep 10 2004

%e a(8): The 8th odd number is 15=3*5. Replace factor 3 by 2: a(8)=2*5=10.

%t Table[(2 n - 1)*(2/3)^IntegerExponent[2 n - 1, 3], {n, 67}] (* _Ivan Neretin_, Mar 05 2016 *)

%o (PARI) lista(nn) = {forstep(n=1, nn, 2, newn = if (np = valuation(n, 3), n*2^np/3^np, n); print1(newn, ", "););} \\ _Michel Marcus_, Mar 06 2016

%Y Cf. A098003, A005408.

%K easy,nonn

%O 1,2

%A _Hugo Pfoertner_, Sep 10 2004

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Last modified April 23 06:45 EDT 2024. Contains 371906 sequences. (Running on oeis4.)