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A092242 Numbers that are congruent to {5, 7} mod 12. +0
2
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 (list; graph; listen)
OFFSET

1,1

COMMENT

Except for the first term, a(n)=12*n-a(n-1), (with a(1)=7) [From Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Oct 18 2009]

REFERENCES

L. B. W. Jolley, "Summation of Series", Dover Publications, 1961, p. 64.

FORMULA

1/5^2 + 1/7^2 + 1/17^2 + 1/19^2 + 1/29^2 + 1/31^2...= (Pi^2*(2 - sqrt(3))/36. [Jolley] - Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 20 2006

CROSSREFS

Fifth row of A092260.

Sequence in context: A099389 A099382 A163633 this_sequence A003630 A122565 A079016

Adjacent sequences: A092239 A092240 A092241 this_sequence A092243 A092244 A092245

KEYWORD

nonn

AUTHOR

Giovanni Teofilatto (g.teofilatto(AT)tiscalinet.it), Feb 19 2004

EXTENSIONS

Edited and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 21 2004

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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