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A058301 Number of solutions to c(0)F(0)+...+c(n)F(n) = 0, where c(i) = +-1 for i>=0, number of (+1)'s >= number of (-1)'s, F(i) = A000045(i) = Fibonacci numbers. 0
1, 0, 2, 3, 0, 6, 4, 0, 8, 11, 0, 22, 16, 0, 32, 42, 0, 84 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

FORMULA

a(3n+1)=0, a(A047270(n))=A002083(n+5), a(A047238(n))=2^n.

EXAMPLE

a(3) = 3 because +0+1+1-2 = -0+1+1-2 = +0-1-1+2 = 0.; a(5) = 6 because +0+1-1-2-3+5 = +0-1+1-2-3+5 = +0+1-1+2+3-5 = -0+1-1+2+3-5 = +0-1+1+2+3-5 = -0-1+1+2+3-5 = 0.

CROSSREFS

Cf. A000045, A002083, A047270, A047238.

Sequence in context: A127468 A173720 A173717 * A199601 A231602 A097287

Adjacent sequences:  A058298 A058299 A058300 * A058302 A058303 A058304

KEYWORD

nonn

AUTHOR

Naohiro Nomoto, Dec 08 2000

STATUS

approved

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Last modified June 20 18:48 EDT 2021. Contains 345199 sequences. (Running on oeis4.)