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A006601 Numbers n such that n, n+1, n+2 and n+3 have the same number of divisors.
(Formerly M5420)
+0
10
242, 3655, 4503, 5943, 6853, 7256, 8392, 9367, 10983, 11605, 11606, 12565, 12855, 12856, 12872, 13255, 13782, 13783, 14312, 16133, 17095, 18469, 19045, 19142, 19143, 19940, 20165, 20965, 21368, 21494, 21495, 21512, 22855, 23989, 26885 (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 242, p. 67, 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, A005238.

Sequence in context: A094908 A070284 A160551 this_sequence A035748 A022153 A013472

Adjacent sequences: A006598 A006599 A006600 this_sequence A006602 A006603 A006604

KEYWORD

nonn,easy,nice

AUTHOR

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

EXTENSIONS

More terms from Olivier Gerard (olivier.gerard(AT)gmail.com)

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


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