A179247 Numbers that have 7 terms in their Zeckendorf representation.

609, 842, 931, 965, 978, 983, 985, 986, 1219, 1308, 1342, 1355, 1360, 1362, 1363, 1452, 1486, 1499, 1504, 1506, 1507, 1541, 1554, 1559, 1561, 1562, 1575, 1580, 1582, 1583, 1588, 1590, 1591, 1593, 1594, 1595, 1829, 1918, 1952, 1965, 1970, 1972, 1973

Offset

1,1

Comments

A007895(a(n)) = 7. - Reinhard Zumkeller, Mar 10 2013

Links

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

Example

609 = 377+144+55+21+8+3+1;
842 = 610+144+55+21+8+3+1;
931 = 610+233+55+21+8+3+1;
965 = 610+233+89+21+8+3+1;
978 = 610+233+89+34+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(15)-1 to 2100 do if B(i) = 7 then Q := `union`(Q, {i}) else end if end do: Q;

Mathematica

zeck = DigitCount[Select[Range[4*10^4], BitAnd[#, 2*#] == 0 &], 2, 1];
Position[zeck, 7] // Flatten (* Jean-François Alcover, Jan 30 2018 *)

Prog

(Haskell)
a179247 n = a179247_list !! (n-1)
a179247_list = filter ((== 7) . a007895) [1..]
-- Reinhard Zumkeller, Mar 10 2013

Crossrefs

Cf. A035517, A007895, A179242, A179243, A179244, A179245, A179246, A179248, A179249, A179250, A179251, A179252, A179253.

Sequence in context: A142554 A345875 A252436 * A172344 A187421 A296825

Adjacent sequences: A179244 A179245 A179246 * A179248 A179249 A179250

Keyword

nonn

Author

Emeric Deutsch, Jul 05 2010

Status

approved