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A106530 Least common multiple of all parts in Zeckendorf representation of n. 5
1, 2, 3, 3, 5, 5, 10, 8, 8, 8, 24, 24, 13, 13, 26, 39, 39, 65, 65, 130, 21, 21, 42, 21, 21, 105, 105, 210, 168, 168, 168, 168, 168, 34, 34, 34, 102, 102, 170, 170, 170, 136, 136, 136, 408, 408, 442, 442, 442, 1326, 1326, 2210, 2210, 2210, 55, 55, 110, 165, 165, 55, 55, 110, 440, 440 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Records: A106531(n) = a(A106532(n)).

a(n) = lcm_{k=0..A007895(n)-1} A035516(n,k). - Reinhard Zumkeller, Mar 10 2013

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..16384 (first 10000 terms from Reinhard Zumkeller)

Eric Weisstein's World of Mathematics, Zeckendorf Representation

Index entries for sequences related to lcm's.

EXAMPLE

n=33: 21+8+3+1 = 33 -> a(33) = lcm(21,8,3,1) = (21*8*3*1)/3 = 168.

MAPLE

F:= combinat[fibonacci]:

a:= proc(n) option remember; local j;

      if n=0 then 1

    else for j from 2 while F(j+1)<=n do od;

         ilcm(a(n-F(j)), F(j))

      fi

    end:

seq(a(n), n=1..64);  # Alois P. Heinz, Mar 17 2018

MATHEMATICA

t = Fibonacci /@ Range@ 21; Table[LCM @@ If[MemberQ[t, n], {n}, Most@ MapAt[# + 1 &, Abs@ Differences@ FixedPointList[# - First@ Reverse@ TakeWhile[t, Function[k, # >= k]] &, n], -1]], {n, 61}] (* Michael De Vlieger, May 17 2016 *)

PROG

(Haskell)

a106530 = foldr lcm 1 . a035516_row -- Reinhard Zumkeller, Mar 10 2013

CROSSREFS

Cf. A000045, A014417, A003714.

Sequence in context: A240176 A134408 A051032 * A273156 A294487 A212792

Adjacent sequences:  A106527 A106528 A106529 * A106531 A106532 A106533

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, May 08 2005

STATUS

approved

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Last modified May 22 13:53 EDT 2018. Contains 304425 sequences. (Running on oeis4.)