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A112636 Numbers n such that sigma(2^n+3^n) is divisible by n. 0
1, 2, 3, 14, 24, 28, 48, 72, 84, 132, 140, 144, 154, 155, 165, 180, 192, 196 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Cf. A114705 = sum of divisors of 2^n + 3^n, A000203 sigma(n) = sum of divisors of n, A007689 2^n + 3^n.

FORMULA

n | sigma(2^n+3^n)

EXAMPLE

14 is OK because 2^14+3^14 = 4799353 with divisors {1,13,369181,4799353} sum of which is 5168548=14*369182.

PROG

(PARI) for(x=1, 200, if(sigma(2^x+3^x)%x==0, print1(x, ", "))) -Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Feb 15 2006

CROSSREFS

Cf. A000203, A007689, A114705.

Sequence in context: A024603 A089876 A025092 * A124663 A101005 A029998

Adjacent sequences:  A112633 A112634 A112635 * A112637 A112638 A112639

KEYWORD

more,nonn

AUTHOR

Zak Seidov (zakseidov(AT)yahoo.com), Dec 27 2005

EXTENSIONS

3 more terms from Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Feb 15 2006

More terms from Ryan Propper (rpropper(AT)stanford.edu), Jan 09 2007

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Last modified February 16 21:30 EST 2012. Contains 205971 sequences.