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A098764 a(n) = 3p - q where p and q are consecutive primes. 4
3, 4, 8, 10, 20, 22, 32, 34, 40, 56, 56, 70, 80, 82, 88, 100, 116, 116, 130, 140, 140, 154, 160, 170, 190, 200, 202, 212, 214, 212, 250, 256, 272, 268, 296, 296, 308, 322, 328, 340, 356, 352, 380, 382, 392, 386, 410, 442, 452, 454, 460, 476, 472, 496, 508, 520 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Except for the initial term, a(n)=={2, 4} mod 6.
Not monotonic: a(29) = 214 > 212 = a(30), a(33) = 272 > 268 = a(34), etc. - Charles R Greathouse IV, Jun 03 2013
LINKS
FORMULA
a(n) = A001043(n) - 2*A001223(n).
a(n) = 3*A000040(n)-A000040(n+1) = A001748(n)-A000040(n+1) = A001747(n+1)-A001223(n). - R. J. Mathar, Apr 22 2010
a(n) ~ 2n log n. - Charles R Greathouse IV, Jun 03 2013
a(n) = A100021(n) + 3. - Hugo Pfoertner, Nov 02 2023
a(n) = A062234(n) + A000040(n). - Anthony S. Wright, Feb 19 2024
MATHEMATICA
ListConvolve[{-1, 3}, Prime[Range[100]]] (* Paolo Xausa, Nov 02 2023 *)
PROG
(PARI) a(n) = 3*prime(n) - prime(n+1) \\ Michel Marcus, Jun 03 2013
CROSSREFS
Sequence in context: A210249 A233771 A072606 * A105407 A222395 A222269
KEYWORD
nonn,easy
AUTHOR
Giovanni Teofilatto, Sep 30 2004
EXTENSIONS
Corrected (116 duplicated) by R. J. Mathar, Apr 22 2010
STATUS
approved

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Last modified April 13 02:05 EDT 2024. Contains 371639 sequences. (Running on oeis4.)