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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 (list; graph; refs; listen; history; text; internal format)
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. 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

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Last modified November 21 11:01 EST 2018. Contains 317447 sequences. (Running on oeis4.)