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A226532 If n = Prod_{i>0} prime(i)^e(i), then a(n) = Prod_{i>0} prime(i)^(XOR_{j>=i} e(j)), where XOR is bitwise XOR. 3
1, 2, 6, 4, 30, 3, 210, 8, 36, 15, 2310, 24, 30030, 105, 5, 16, 510510, 72, 9699690, 120, 35, 1155, 223092870, 12, 900, 15015, 216, 840, 6469693230, 10, 200560490130, 32, 385, 255255, 7, 9, 7420738134810, 4849845, 5005, 60, 304250263527210, 70, 13082761331670030, 9240, 1080, 111546435, 614889782588491410 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This sequence is a permutation of the natural numbers.

The powers of 2 are the fixed points of this sequence.

a(prime(i)) = A002110(i) for any i>0.

a(i^2) = a(i)^2 for any i>0.

a(A019565(n))=A019565(A006068(n)) for any n>=0.

LINKS

Paul Tek, Table of n, a(n) for n = 1..2370

Paul Tek, PERL program for this sequence

Index entries for sequences that are permutations of the natural numbers

EXAMPLE

a(50) = a(2^1 * 3^0 * 5^2)

      = 2^xor(1,0,2) * 3^xor(0,2) * 5^xor(2)

      = 2^3          * 3^2        * 5^2

      = 1800.

PROG

(Perl) See link.

(Haskell)

import Data.Bits (xor)

a226532 n = product $ zipWith (^)

            a000040_list (scanr1 xor $ a067255_row n :: [Integer])

-- Reinhard Zumkeller, Jun 11 2013

CROSSREFS

Cf. A006068.

Cf. A226569 (inverse), A067255, A000040.

Sequence in context: A092399 A039656 A263326 * A006233 A164020 A326579

Adjacent sequences:  A226529 A226530 A226531 * A226533 A226534 A226535

KEYWORD

nonn

AUTHOR

Paul Tek, Jun 10 2013

STATUS

approved

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Last modified October 15 03:16 EDT 2019. Contains 328025 sequences. (Running on oeis4.)