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Search: id:A133450
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| A133450 |
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Difference between 4*n^2 and the average of the two prime numbers which bracket this number. |
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+0
1
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| 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; listen)
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OFFSET
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1,3
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FORMULA
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a(n)=A056929(2n). - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Dec 26 2007
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EXAMPLE
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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
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MATHEMATICA
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Table[n^2-(Prime[PrimePi[n^2]]+Prime[PrimePi[n^2]+1])/2, {n, 2, 200, 2}] - Zak Seidov (zakseidov(AT)yahoo.com)
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PROGRAM
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(PARI) A133450(n)=4*n^2-(precprime(4*n^2)+nextprime(4*n^2))/2 - M. F. Hasler (Maximilian.Hasler(AT)gmail.com), Dec 26 2007
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CROSSREFS
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Cf. A056929, A101593, A075190.
Sequence in context: A119346 A014586 A122924 this_sequence A029410 A054528 A025884
Adjacent sequences: A133447 A133448 A133449 this_sequence A133451 A133452 A133453
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KEYWORD
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sign
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AUTHOR
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Alexander R. Povolotsky (pevnev(AT)juno.com), Dec 22 2007
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EXTENSIONS
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Corrected and extended by Zak Seidov, Dec 23, 2007
Edited by njas, Dec 23 2007
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