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A005238 Numbers n such that n, n+1 and n+2 have the same number of divisors.
(Formerly M5236)
+0
11
33, 85, 93, 141, 201, 213, 217, 230, 242, 243, 301, 374, 393, 445, 603, 633, 663, 697, 902, 921, 1041, 1105, 1137, 1261, 1274, 1309, 1334, 1345, 1401, 1641, 1761, 1832, 1837, 1885, 1893, 1924, 1941, 1981, 2013, 2054, 2101, 2133, 2181, 2217, 2264, 2305 (list; graph; listen)
OFFSET

1,1

REFERENCES

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 840.

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 33, pp 12, Ellipses, Paris 2008.

R. K. Guy, Unsolved Problems in Number Theory, B18.

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

LINKS

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

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].

CROSSREFS

Cf. A000005, A005237, A006601, A049051, A006558, A019273, A039665.

Sequence in context: A045939 A056809 A073251 this_sequence A052214 A063838 A075039

Adjacent sequences: A005235 A005236 A005237 this_sequence A005239 A005240 A005241

KEYWORD

nonn,easy,nice

AUTHOR

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

EXTENSIONS

More terms from Olivier Gerard.

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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