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

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

Max Barrentine, Table of n, a(n) for n = 1..16368

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.

Cf. A000295, A079583.

Sequence in context: A303932 A121891 A346780 * A232115 A275529 A326044

Adjacent sequences: A271587 A271588 A271589 * A271591 A271592 A271593

Keyword

nonn

Author

Max Barrentine, Apr 10 2016

Status

approved