A242767 Numbers of repetitions of terms in A242758.

1, 1, 2, 2, 3, 3, 4, 3, 6, 2, 5, 2, 6, 2, 2, 4, 3, 5, 3, 4, 5, 12, 2, 6, 9, 6, 5, 4, 3, 4, 20, 2, 2, 4, 4, 19, 2, 3, 2, 4, 8, 11, 5, 3, 3, 3, 10, 5, 4, 2, 17, 3, 6, 3, 3, 9, 9, 2, 6, 2, 6, 5, 6, 2, 3, 2, 3, 9, 4, 7, 3, 7, 20, 4, 7, 6, 5, 3, 7, 3, 20, 2, 14, 4

Offset

2,3

Comments

If {p<q} is a pair of twin primes, then the number p+3=q+1 is in A242758. If this number occurs k times in A242758, then we say that k is the index of the pair of twin primes {p,q} with p in A001359.

Is this the same as A027833 shifted by two indices? - R. J. Mathar, May 23 2014

Links

Peter J. C. Moses, Table of n, a(n) for n = 2..5001

Formula

From the construction of A242758, in supposition of an infinity of twin primes, we have a(2)=1; for n>=3, a(n) = A027833(n-2). Otherwise, A027833 is finite, while A242758 will coincide with A242720 after the last pair of twin primes. - Vladimir Shevelev, May 26 2014

Crossrefs

Cf. A001359, A006512, A242489, A242490, A242720, A242758.

Sequence in context: A289777 A182921 A291268 * A027833 A110676 A117171

Adjacent sequences: A242764 A242765 A242766 * A242768 A242769 A242770

Keyword

nonn

Author

Vladimir Shevelev, May 22 2014

Extensions

More terms from Peter J. C. Moses, May 22 2014

Status

approved