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A092242
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Numbers that are congruent to {5, 7} mod 12.
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1
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5, 7, 17, 19, 29, 31, 41, 43, 53, 55, 65, 67, 77, 79, 89, 91, 101, 103, 113, 115, 125, 127, 137, 139, 149, 151, 161, 163, 173, 175, 185, 187, 197, 199, 209, 211, 221, 223, 233, 235, 245, 247, 257, 259, 269, 271, 281, 283, 293, 295, 305, 307, 317, 319, 329, 331
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OFFSET
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1,1
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REFERENCES
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L. B. W. Jolley, "Summation of Series", Dover Publications, 1961, p. 64.
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LINKS
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Table of n, a(n) for n=1..56.
Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).
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FORMULA
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1/5^2 + 1/7^2 + 1/17^2 + 1/19^2 + 1/29^2 + 1/31^2...= (Pi^2*(2 - sqrt(3))/36 = 0.073459792.. [Jolley] - Gary W. Adamson, Dec 20 2006
a(n)=12*n-a(n-1)-12 (with a(1)=5) [From Vincenzo Librandi, Nov 16 2010]
a(n) = 6*n-3-2*(-1)^n. G.f. x*(5+2*x+5*x^2) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 08 2011
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CROSSREFS
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Fifth row of A092260.
Sequence in context: A099389 A099382 A163633 * A003630 A122565 A079016
Adjacent sequences: A092239 A092240 A092241 * A092243 A092244 A092245
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KEYWORD
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nonn
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AUTHOR
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Giovanni Teofilatto, Feb 19 2004
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EXTENSIONS
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Edited and extended by Ray Chandler, Feb 21 2004
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STATUS
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approved
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