A356395 Nonnegative numbers k such that the negaFibonacci representation of k (A215022(k)) is palindromic.

0, 1, 3, 6, 8, 11, 14, 21, 24, 35, 40, 50, 55, 58, 66, 82, 90, 108, 118, 126, 144, 147, 176, 189, 205, 234, 247, 273, 286, 296, 325, 338, 364, 377, 380, 401, 443, 464, 511, 527, 548, 590, 611, 658, 684, 705, 752, 762, 783, 825, 846, 893, 919, 940, 987, 990

Offset

1,3

Comments

See A094202 and A356396 for similar sequences.

Links

Table of n, a(n) for n=1..56.

Wikipedia, NegaFibonacci coding

Index entries for sequences related to Zeckendorf expansion of n

Example

The first terms are:
  n   a(n)  A215022(a(n))
  --  ----  -------------
   1     0              0
   2     1              1
   3     3            101
   4     6          10001
   5     8          10101
   6    11        1001001
   7    14        1000001
   8    21        1010101
   9    24      100101001
  10    35      100000001

Prog

(PARI) is(n) = { my (v=0, neg=0, pos=0, f); for (e=0, oo, f=fibonacci(-1-e); if (f<0, neg+=f, pos+=f); if (neg <=n && n <= pos, while (n, if (f<0, neg-=f, pos-=f); if (neg > n || n > pos, v+=2^e; n-=f); f=fibonacci(-1-e--)); my (b=binary(v)); return (b==Vecrev(b)))) }

Crossrefs

Cf. A094202, A215022, A356396.

Sequence in context: A265898 A133869 A368642 * A276573 A085197 A164910

Adjacent sequences: A356392 A356393 A356394 * A356396 A356397 A356398

Keyword

nonn,base

Author

Rémy Sigrist, Aug 05 2022

Status

approved