A338246 Nonpositive values in A117966, in order of appearance and negated.

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

Offset

0,3

Comments

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

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(A157671(n)) for any n > 0.

a(n) = n iff n belongs to A003462.

Example

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

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..188])))

Crossrefs

Cf. A003462 (fixed points), A117966, A157671, A338245.

Sequence in context: A083164 A094962 A338243 * A368225 A371267 A084793

Adjacent sequences: A338243 A338244 A338245 * A338247 A338248 A338249

Keyword

nonn,base

Author

Rémy Sigrist, Oct 18 2020

Status

approved