A356388 a(n) is the product of all parts in negaFibonacci representation of -n.

1, -1, -3, -3, 3, -16, -16, -8, -8, 8, 24, 24, -24, -210, -210, -105, -105, 105, -42, -42, -21, -21, 21, 63, 63, -63, 336, 336, 168, 168, -168, -504, -504, 504, -7150, -7150, -3575, -3575, 3575, -1430, -1430, -715, -715, 715, 2145, 2145, -2145, -550, -550

Offset

0,3

Comments

a(0) = 1 for the empty product.

See A273156 and A356387 for similar sequences.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10946

Wikipedia, NegaFibonacci coding

Index entries for sequences related to Zeckendorf expansion of n

Example

For n = 11:
- using F(-k) = A039834(k):
- -11 = F(-4) + F(-6),
- so a(11) = F(-4) * F(-6) = -3 * -8 = 24.

Prog

(PARI) a(n) = { my (v=1); n=-n; while (n, my (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, v*=f; n-=f; break))); return (v) }

Crossrefs

Cf. A039834, A059867, A215023, A273156, A356387.

Sequence in context: A367773 A176248 A290159 * A083562 A332860 A106542

Adjacent sequences: A356385 A356386 A356387 * A356389 A356390 A356391

Keyword

sign,base

Author

Rémy Sigrist, Aug 05 2022

Status

approved