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A356395
Nonnegative numbers k such that the negaFibonacci representation of k (A215022(k)) is palindromic.
1
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.
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
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Aug 05 2022
STATUS
approved