

A101328


Recurring numbers in the count of consecutive composite numbers between balanced primes and their lower or upper prime neighbors.


0



1, 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 155, 161, 167, 173, 179, 185, 191, 197, 203, 209, 215, 221, 227, 233, 239, 245, 251, 257, 263, 269, 275, 281, 287, 293, 299, 305, 311, 317, 323, 329
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OFFSET

2,2


COMMENTS

Except for the initial term, these numbers appear to differ by 6. Proof?
Numbers that occur in A101597.  David Wasserman, Mar 26 2008


LINKS

Table of n, a(n) for n=2..57.


FORMULA

If the numbers continue to differ by 6, then this is the sum of paired terms of 3n+1: (1, 4, 7, 10, 13, ...); and binomial transform of [1, 4, 2, 2, 2, 2, 2, ...].  Gary W. Adamson, Sep 13 2007
a(n) = nextprime(A054342(n)+1)A054342(n)1.  David Wasserman, Mar 26 2008


CROSSREFS

Cf. A016969, A054342, A101597.
Sequence in context: A314254 A059538 A172337 * A016969 A007528 A144918
Adjacent sequences: A101325 A101326 A101327 * A101329 A101330 A101331


KEYWORD

nonn


AUTHOR

Cino Hilliard, Jan 26 2005


EXTENSIONS

More terms from David Wasserman, Mar 26 2008


STATUS

approved



