A209861 Permutation of nonnegative integers which maps A209641 to A209642.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 11, 13, 14, 15, 16, 17, 18, 21, 19, 22, 24, 27, 20, 23, 25, 28, 26, 29, 30, 31, 32, 33, 34, 38, 35, 39, 42, 48, 36, 40, 43, 49, 45, 51, 54, 58, 37, 41, 44, 50, 46, 52, 55, 59, 47, 53, 56, 60, 57, 61, 62, 63, 64, 65, 66, 71, 67, 72, 76, 86, 68, 73, 77, 87, 80, 90, 96, 106, 69, 74, 78, 88, 81, 91, 97, 107, 83

Offset

0,3

Comments

Conjecture: For all n, A209861(A054429(n)) = A054429(A209861(n)), i.e. A054429 acts as an homomorphism (automorphism) of the cyclic group generated by this permutation. This implies also a weaker conjecture given in A209860.

The scatterplot graph of the sequence has a nice texture and interesting pattern.

Links

Antti Karttunen, Table of n, a(n) for n = 0..32767

Index entries for sequences that are permutations of the natural numbers

Formula

a(n) = A209640(A209642(n)).

Crossrefs

Inverse permutation: A209862. Cf. A209860, A209863, A209864, A209865, A209866, A209867, A209868.

Sequence in context: A357492 A209862 A357491 * A338466 A287929 A287928

Adjacent sequences: A209858 A209859 A209860 * A209862 A209863 A209864

Keyword

nonn,look

Author

Antti Karttunen, Mar 24 2012

Status

approved