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A191472 a(n) = 2*prime(n+2) - prime(n+1) - prime(n). 2
5, 6, 10, 8, 10, 8, 10, 16, 10, 14, 14, 8, 10, 16, 18, 10, 14, 14, 8, 14, 14, 16, 22, 16, 8, 10, 8, 10, 32, 22, 16, 10, 22, 14, 14, 18, 14, 16, 18, 10, 22, 14, 10, 8, 26, 36, 20, 8, 10, 16, 10, 22, 22, 18, 18, 10, 14, 14, 8, 22, 38, 22, 8, 10, 32, 26, 26, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
For n > 2, all terms >= 8 and all even integers are possible except for 12.
LINKS
Charles R Greathouse IV, Record values
EXAMPLE
a(1) = 2*prime(3) - prime(2) - prime(1) = 2*5 - 3 - 2 = 5.
MATHEMATICA
ps = Prime[Range[100]]; Table[2*ps[[n+2]] - ps[[n+1]] - ps[[n]], {n, Length[ps] - 2}] (* T. D. Noe, Aug 27 2012 *)
2#[[3]]-#[[2]]-#[[1]]&/@Partition[Prime[Range[70]], 3, 1] (* Harvey P. Dale, Aug 10 2023 *)
PROG
(PARI) first(n)=my(v=vector(n), p=2, q=3, k); forprime(r=5, , if(k++>n, break); v[k]=2*r-q-p; p=q; q=r); v \\ Charles R Greathouse IV, Oct 03 2017
CROSSREFS
Cf. A096379.
Sequence in context: A273039 A019125 A019205 * A189056 A340325 A247561
KEYWORD
nonn
AUTHOR
Zak Seidov, Aug 27 2012
STATUS
approved

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Last modified March 19 07:14 EDT 2024. Contains 370954 sequences. (Running on oeis4.)