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Search: id:A101328
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| A101328 |
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Recurring numbers in the count of consecutive composite numbers between balanced primes and their lower or upper prime neighbors. |
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+0
1
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| 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; listen)
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OFFSET
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2,2
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COMMENT
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Except for the initial term, these numbers appear to differ by 6. Proof?
Numbers that occur in A101597. - David Wasserman (dwasserm(AT)earthlink.net), Mar 26 2008
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FORMULA
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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 (qntmpkt(AT)yahoo.com), Sep 13 2007
a(n) = nextprime(A054342(n)+1)-A054342(n)-1. - David Wasserman (dwasserm(AT)earthlink.net), Mar 26 2008
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CROSSREFS
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Cf. A054342, A101597.
Sequence in context: A105575 A105644 A059538 this_sequence A016969 A007528 A144918
Adjacent sequences: A101325 A101326 A101327 this_sequence A101329 A101330 A101331
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Jan 26 2005
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EXTENSIONS
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More terms from David Wasserman (dwasserm(AT)earthlink.net), Mar 26 2008
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