A356395 - OEIS

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

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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