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A227789 Sum of indices of Fibonacci numbers in Zeckendorf representation of n, assuming that the units place is Fibonacci(1). 1
0, 1, 3, 4, 5, 5, 6, 8, 6, 7, 9, 10, 11, 7, 8, 10, 11, 12, 12, 13, 15, 8, 9, 11, 12, 13, 13, 14, 16, 14, 15, 17, 18, 19, 9, 10, 12, 13, 14, 14, 15, 17, 15, 16, 18, 19, 20, 16, 17, 19, 20, 21, 21, 22, 24, 10, 11, 13, 14, 15, 15, 16, 18, 16, 17, 19, 20, 21, 17, 18, 20 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

If n = F(i1) + F(i2) +...+ F(ik) is the Zeckendorf representation of n (i.e., write n in Fibonacci number system) then a(n) = i1 + i2 +...+ ik. 1 is Fibonacci(1). The variant with 1 = Fibonacci(2) is A227788.

LINKS

Table of n, a(n) for n=0..70.

Eric W. Weisstein, Zeckendorf Representation

EXAMPLE

a(33) = 19 because Zeckendorf representation of 33 is 21+8+3+1, 21=F(8), 8=F(6), 3=F(4), 1=F(1), thus a(33) = 8+6+4+1 = 19.

CROSSREFS

Cf. A000045, A003714, A227788.

Sequence in context: A065305 A009070 A200066 * A116183 A177744 A061146

Adjacent sequences:  A227786 A227787 A227788 * A227790 A227791 A227792

KEYWORD

nonn

AUTHOR

Alex Ratushnyak, Sep 23 2013

STATUS

approved

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Last modified October 16 15:51 EDT 2019. Contains 328101 sequences. (Running on oeis4.)