A276826 a(n) is the maximal difference between the corresponding terms of sequences defined in the same way as A159559, but with initial terms A001359(n-1)+2 and A001359(n-1) respectively.

4, 14, 6, 6, 6, 12, 6, 8, 14, 14, 18, 36, 24, 65, 18, 6, 10, 6, 84, 14, 162, 10, 54, 84, 179, 10, 23, 12, 18, 18, 24, 128, 18, 24, 28, 10, 10, 72, 34, 23, 12, 18, 6, 6, 12, 34, 8, 644, 12, 12, 6, 29, 24, 12, 18, 28, 28, 24, 22, 22, 10, 14, 12, 12, 16, 6, 58

Offset

2,1

Comments

It seems likely that 6 occurs infinitely often.

Links

Table of n, a(n) for n=2..68.

V. Shevelev, Several results on sequences which are similar to the positive integers, arXiv:0904.2101 [math.NT], 2009.

Vladimir Shevelev, Peter J. C. Moses, Constellations of primes generated by twin primes, arXiv:1610.03385 [math.NT], 2016.

Example

Since A276703(3)=4 (cf. example there), a(2)=4.

Crossrefs

Cf. A001359, A159559, A229019, A276676, A276703, A276767.

Sequence in context: A156985 A138229 A131702 * A029661 A185439 A304458

Adjacent sequences: A276823 A276824 A276825 * A276827 A276828 A276829

Keyword

nonn

Author

Vladimir Shevelev, Sep 19 2016

Extensions

More terms from Peter J. C. Moses, Sep 19 2016

Status

approved