A179244 Numbers that have 4 terms in their Zeckendorf representation.

33, 46, 51, 53, 54, 67, 72, 74, 75, 80, 82, 83, 85, 86, 87, 101, 106, 108, 109, 114, 116, 117, 119, 120, 121, 127, 129, 130, 132, 133, 134, 137, 138, 139, 141, 156, 161, 163, 164, 169, 171, 172, 174, 175, 176, 182, 184, 185, 187, 188, 189, 192, 193, 194, 196

Offset

1,1

Comments

A007895(a(n)) = 4. - Reinhard Zumkeller, Mar 10 2013

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Example

33=21+8+3+1;
46=34+8+3+1;
51=34+13+3+1;
53=34+13+5+1;
54=34+13+5+2;

Maple

with(combinat): B := proc (n) local A, ct, m, j: A := proc (n) local i: for i while fibonacci(i) <= n do n-fibonacci(i) end do end proc: ct := 0: m := n: for j while 0 < A(m) do ct := ct+1: m := A(m) end do: ct+1 end proc: Q := {}: for i from fibonacci(9)-1 to 200 do if B(i) = 4 then Q := `union`(Q, {i}) else end if end do: Q;

Mathematica

zeck = DigitCount[Select[Range[2000], BitAnd[#, 2*#] == 0&], 2, 1];
Position[zeck, 4] // Flatten (* Jean-François Alcover, Jan 25 2018 *)

Prog

(Haskell)
a179244 n = a179244_list !! (n-1)
a179244_list = filter ((== 4) . a007895) [1..]
-- Reinhard Zumkeller, Mar 10 2013

Crossrefs

Cf. A035517, A007895, A111458, A135709, A179242 - A179253.

Sequence in context: A070122 A247527 A111458 * A258698 A258697 A204373

Adjacent sequences: A179241 A179242 A179243 * A179245 A179246 A179247

Keyword

nonn

Author

Emeric Deutsch, Jul 05 2010

Status

approved