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A002312 Arc-cotangent reducible numbers or non-Stormer numbers.
(Formerly M2613 N1033)
6
3, 7, 8, 13, 17, 18, 21, 30, 31, 32, 38, 41, 43, 46, 47, 50, 55, 57, 68, 70, 72, 73, 75, 76, 83, 91, 93, 98, 99, 100, 105, 111, 112, 117, 119, 122, 123, 128, 129, 132, 133, 142, 144, 155, 157, 162, 172, 173, 174, 177, 182, 183, 185, 187, 189, 191, 192, 193, 200 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

REFERENCES

E. Kowalski, On the "reducibility" of arctangents of integers, Amer. Math. Monthly, Vol. 111, No. 4 (Apr. 2004), 351-354.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

J. Todd, A problem on arc tangent relations, Amer. Math. Monthly, 56 (1949), 517-528.

J. Todd, Table of Arctangents. National Bureau of Standards, Washington, DC, 1951, p. 94.

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

MATHEMATICA

lst={}; Do[n=m^2+1; p=FactorInteger[n][[ -1, 1]]; If[p<2m, AppendTo[lst, m]], {m, 200}]; lst (T. D. Noe (noe(AT)sspectra.com), Apr 09 2004)

CROSSREFS

Cf. A005528.

Sequence in context: A132017 A010342 A108873 * A106474 A127441 A067064

Adjacent sequences:  A002309 A002310 A002311 * A002313 A002314 A002315

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Description and initial term modified Jan 15 1996.

More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jun 14 2002

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Last modified February 17 14:50 EST 2012. Contains 206050 sequences.