A338245 Nonnegative values in A117966, in order of appearance.

0, 1, 3, 4, 2, 9, 10, 8, 12, 13, 11, 6, 7, 5, 27, 28, 26, 30, 31, 29, 24, 25, 23, 36, 37, 35, 39, 40, 38, 33, 34, 32, 18, 19, 17, 21, 22, 20, 15, 16, 14, 81, 82, 80, 84, 85, 83, 78, 79, 77, 90, 91, 89, 93, 94, 92, 87, 88, 86, 72, 73, 71, 75, 76, 74, 69, 70, 68

Offset

0,3

Comments

This sequence is a permutation of the nonnegative integers with inverse A338247 (the offset has been set to 0 so as to get a permutation).

There are only two fixed points: a(0) = 0 and a(1) = 1.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..9841

Index entries for sequences that are permutations of the natural numbers

Formula

a(0) = 0.

a(n) = A117966(A132141(n)) for any n > 0.

Example

A117966 = 0, 1, -1, 3, 4, 2, -3, -2, -4, 9, 10, 8, 12, 13, 11, 6, 7, 5, ...
We keep:  0, 1,     3, 4, 2,             9, 10, 8, 12, 13, 11, 6, 7, 5, ...

Prog

(PARI) A117966(n) = subst(Pol(apply(x->if(x == 2, -1, x), digits(n, 3)), 'x), 'x, 3)
print (select(v -> v>=0, apply(A117966, [0..107])))

Crossrefs

See A338248 for a similar sequence.

Cf. A117966, A132141, A338246, A338247.

Sequence in context: A091477 A075593 A145421 * A352417 A286681 A019474

Adjacent sequences: A338242 A338243 A338244 * A338246 A338247 A338248

Keyword

nonn,base

Author

Rémy Sigrist, Oct 18 2020

Status

approved