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 A133450 Difference between 4*n^2 and the average of the two prime numbers which bracket this number. 1
 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 4, 3, -2, -2, 2, 1, 1, -4, -5, -5, 1, 10, 1, 3, 7, -2, 0, 4, 0, 3, -5, 4, 0, 2, 12, 0, -9, -2, 6, -6, -3, 3, 0, 2, 1, -3, 10, -9, 1, 10, -3, 1, 0, 4, 2, -2, 5, 1, 1, 8, -12, 5, -1, 8, -2, 0, 0, -3, -1, 1, 2, 8, -4, 12, 3, 4, 5, 1, -2, -10, 0, 10 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 FORMULA a(n) = A056929(2n). - M. F. Hasler, Dec 26 2007 EXAMPLE a(1)=0 because 4 - (3 + 5)/2 = 0 a(2)=1 because 16 - (13 + 17)/2 = 1 a(3)=2 because 36 - (31 + 37)/2 = 2 a(4)=0 because 64 - (61 + 67)/2 = 0 a(5)=1 because 100 - (97 + 101)/2 = 1 MATHEMATICA Table[n^2-(Prime[PrimePi[n^2]]+Prime[PrimePi[n^2]+1])/2, {n, 2, 200, 2}] (* Zak Seidov *) diff4[n_]:=Module[{x=4n^2}, x-(NextPrime[x]+NextPrime[x, -1])/2]; Array[ diff4, 90] (* Harvey P. Dale, Aug 31 2017 *) PROG (PARI) A133450(n)=4*n^2-(precprime(4*n^2)+nextprime(4*n^2))/2 \\ M. F. Hasler, Dec 26 2007 CROSSREFS Cf. A056929, A101593, A075190. Sequence in context: A119346 A014586 A122924 * A029410 A242082 A159917 Adjacent sequences:  A133447 A133448 A133449 * A133451 A133452 A133453 KEYWORD sign AUTHOR Alexander R. Povolotsky, Dec 22 2007 EXTENSIONS Corrected and extended by Zak Seidov, Dec 23 2007 Edited by N. J. A. Sloane, Dec 23 2007 STATUS approved

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Last modified April 8 02:27 EDT 2020. Contains 333312 sequences. (Running on oeis4.)