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A271590 First differences of column n of A271589 for arbitrarily large n. 1

%I #11 Apr 15 2016 14:47:39

%S 3,4,2,3,4,11,1,2,4,2,3,4,12,26,3,4,2,1,2,4,11,1,2,4,2,3,4,12,36,71,3,

%T 4,2,3,4,11,1,2,4,2,1,2,4,12,26,3,4,2,1,2,4,11,1,2,4,2,3,4,12,36,108,

%U 206,3,4,2,3,4,11,1,2,4,2,3,4,12,26,3,4,2,1

%N First differences of column n of A271589 for arbitrarily large n.

%H Max Barrentine, <a href="/A271590/b271590.txt">Table of n, a(n) for n = 1..16368</a>

%F For all k>2:

%F a(A000295(k)) = a(A000295(k+1)) = 3;

%F For A000295(k)<n<2^k-2, a(n) = a(n+2^k-1) = a(n+2^(k+1)-1);

%F For n = 2^k-2, a(n) = a(n+2^(k+1)-1), a(2^(k+1)-2) = a(n)+5*3^(k-2);

%F a(2^(k+1)-3) = 4*3^(k-2);

%F For 2^k-2<n<A079583(k-1)-1, a(n) = a(n+2^k)=a(n+2^(k+1)-1);

%F For n = A079583(k-1)-1, a(n) = a(n+2^(k+1)-1) = 1;

%F For n = A079583(k-1), a(n) = a(n+2^(k+1)-1) = 2;

%F a(A079583(k-1)+2^k-1) = 3;

%F For A079583(k-1)<n<A000295(k+1), a(n) = a(n+2^k-1) = a(n+2^(k+1)-1)

%Y Cf. A271589.

%Y Cf. A000295, A079583.

%K nonn

%O 1,1

%A _Max Barrentine_, Apr 10 2016

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Last modified April 18 13:50 EDT 2024. Contains 371780 sequences. (Running on oeis4.)