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A225546 Write n as the product of distinct factors of the form prime(i)^(2^(j-1)) with i and j integers, then a(n) = Prod prime(j)^(2^(i-1)). 3
1, 2, 4, 3, 16, 8, 256, 6, 9, 32, 65536, 12, 4294967296, 512, 64, 5, 18446744073709551616, 18, 340282366920938463463374607431768211456, 48, 1024, 131072, 115792089237316195423570985008687907853269984665640564039457584007913129639936, 24, 81, 8589934592, 36, 768 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This is a multiplicative self-inverse permutation of the integers.

A225547 gives the fixed points.

LINKS

Paul Tek, Table of n, a(n) for n = 1..40

FORMULA

Multiplicative, with a(prime(i)^j) = A019565(j)^A000079(i-1).

a(prime(i)) = 2^(2^(i-1)).

EXAMPLE

  7744  = prime(1)^2^(2-1)*prime(1)^2^(3-1)*prime(5)^2^(2-1).

a(7744) = prime(2)^2^(1-1)*prime(3)^2^(1-1)*prime(2)^2^(5-1) = 645700815.

CROSSREFS

Cf. A000040, A000079, A019565, A050376.

Sequence in context: A183169 A308317 A318363 * A053124 A242500 A132049

Adjacent sequences:  A225543 A225544 A225545 * A225547 A225548 A225549

KEYWORD

nonn,mult

AUTHOR

Paul Tek, May 10 2013

STATUS

approved

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Last modified September 17 09:02 EDT 2019. Contains 327128 sequences. (Running on oeis4.)