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A227355 Product of run lengths in Zeckendorf representation of n. 4
1, 1, 1, 2, 1, 3, 2, 1, 4, 3, 2, 2, 1, 5, 4, 3, 4, 2, 3, 2, 1, 6, 5, 4, 6, 3, 6, 4, 2, 4, 3, 2, 2, 1, 7, 6, 5, 8, 4, 9, 6, 3, 8, 6, 4, 4, 2, 5, 4, 3, 4, 2, 3, 2, 1, 8, 7, 6, 10, 5, 12, 8, 4, 12, 9, 6, 6, 3, 10, 8, 6, 8, 4, 6, 4, 2, 6, 5, 4, 6, 3, 6, 4, 2, 4, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

The same sequence also gives the product for the lengths of zero-runs only, as by definition, no two consecutive 1's can occur in Fibonacci number system (aka Zeckendorf representation), thus any 1's present contribute just *1 to the total product.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..10946

FORMULA

a(n) = A167489(A003714(n)) = A227350(A003714(n)).

a(A227352(A005408(n))) = A167489(n).

For n>= 3, a(A000045(n)) = n-2.

PROG

(Scheme) (define (A227355 n) (A167489 (A003714 n)))(define (A227355v2 n) (A227350 (A003714 n))) ;; Alternative definition.

CROSSREFS

Cf. A167489, A003714, A102364, A014417, A227350.

Sequence in context: A211230 A049085 A193173 * A226080 A167287 A007336

Adjacent sequences:  A227352 A227353 A227354 * A227356 A227357 A227358

KEYWORD

nonn,base

AUTHOR

Antti Karttunen, Jul 08 2013

STATUS

approved

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Last modified November 18 15:55 EST 2018. Contains 317323 sequences. (Running on oeis4.)