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A271590
First differences of column n of A271589 for arbitrarily large n.
1
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, 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, 206, 3, 4, 2, 3, 4, 11, 1, 2, 4, 2, 3, 4, 12, 26, 3, 4, 2, 1
OFFSET
1,1
LINKS
FORMULA
For all k>2:
a(A000295(k)) = a(A000295(k+1)) = 3;
For A000295(k)<n<2^k-2, a(n) = a(n+2^k-1) = a(n+2^(k+1)-1);
For n = 2^k-2, a(n) = a(n+2^(k+1)-1), a(2^(k+1)-2) = a(n)+5*3^(k-2);
a(2^(k+1)-3) = 4*3^(k-2);
For 2^k-2<n<A079583(k-1)-1, a(n) = a(n+2^k)=a(n+2^(k+1)-1);
For n = A079583(k-1)-1, a(n) = a(n+2^(k+1)-1) = 1;
For n = A079583(k-1), a(n) = a(n+2^(k+1)-1) = 2;
a(A079583(k-1)+2^k-1) = 3;
For A079583(k-1)<n<A000295(k+1), a(n) = a(n+2^k-1) = a(n+2^(k+1)-1)
CROSSREFS
Cf. A271589.
Sequence in context: A303932 A121891 A346780 * A232115 A275529 A326044
KEYWORD
nonn
AUTHOR
Max Barrentine, Apr 10 2016
STATUS
approved