A179249 Numbers that have 9 terms in their Zeckendorf representation.

4180, 5777, 6387, 6620, 6709, 6743, 6756, 6761, 6763, 6764, 8361, 8971, 9204, 9293, 9327, 9340, 9345, 9347, 9348, 9958, 10191, 10280, 10314, 10327, 10332, 10334, 10335, 10568, 10657, 10691, 10704, 10709, 10711, 10712, 10801, 10835, 10848

Offset

1,1

Comments

A007895(a(n)) = 9. - Reinhard Zumkeller, Mar 10 2013

Links

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

Example

4180 = 2584 +987+377+144+55+21+8+3+1;
5777 = 4181 +987+377+144+55+21+8+3+1;
6387 = 4181+1597+377+144+55+21+8+3+1;
6620 = 4181+1597+610+144+55+21+8+3+1;
6709 = 4181+1597+610+233+55+21+8+3+1.

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(19)-1 to 10900 do if B(i) = 9 then Q := `union`(Q, {i}) else end if end do: Q;

Mathematica

zeck = DigitCount[Select[Range[4*10^5], BitAnd[#, 2*#] == 0 &], 2, 1];
Position[zeck, 9] // Flatten (* Jean-François Alcover, Jan 30 2018 *)

Prog

(Haskell)
a179249 n = a179249_list !! (n-1)
a179249_list = filter ((== 9) . a007895) [1..]
-- Reinhard Zumkeller, Mar 10 2013

Crossrefs

Cf. A035517, A007895, A179242, A179243, A179244, A179245, A179246, A179247, A179248, A179250, A179251, A179252, A179253.

Sequence in context: A256836 A104918 A308752 * A045734 A155511 A049062

Adjacent sequences: A179246 A179247 A179248 * A179250 A179251 A179252

Keyword

nonn

Author

Emeric Deutsch, Jul 05 2010

Status

approved