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A190266 Numbers n such that tau(n-1)=(tau(n))^2=tau(n+1), where tau(n)=A000005(n)(number of divisors of n). 0
7, 1241, 1673, 1751, 1769, 2471, 2839, 3161, 3305, 3497, 3711, 4135, 4265, 4279, 4471, 4711, 5191, 5433, 5561, 6017, 6041, 6103, 6313, 6809, 6953, 7031, 7241, 7463, 7671, 8023, 8057, 8345, 8791, 8889, 9079, 10169, 10793, 10891, 11111, 11209, 11391, 11751, 12297, 13207 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..44.

FORMULA

A000005(a(n)-1)=(A000005(a(n))^2=A000005(a(n)+1).

EXAMPLE

a(1)=7 because tau(6)=(tau(7))^2=tau(8)=4, a(2)=1241 because tau(1240)=(tau(1241))^2=tau(1242)=16.

PROG

(PARI) isA190266(n)=my(t=numdiv(n-1)); issquare(t) & t==numdiv(n+1) & t==numdiv(n)^2 \\ Charles R Greathouse IV, May 14, 2011

CROSSREFS

Cf. A000005, A074757, A090502. Subsequence of A036436.

Sequence in context: A144927 A202133 A159994 * A119181 A152518 A210396

Adjacent sequences:  A190263 A190264 A190265 * A190267 A190268 A190269

KEYWORD

nonn,changed

AUTHOR

Juri-Stepan Gerasimov, May 06 2011.

STATUS

approved

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Last modified May 24 15:09 EDT 2013. Contains 225624 sequences.