A075148 Table E(n,k) (listed antidiagonalwise as E(0,0), E(1,0), E(0,1), E(2,0), E(1,1), E(0,2), ...) where E(n,k) is F(n+k) for all even n and L(n+k) for all odd n. F(n) and L(n) are the n-th Fibonacci (A000045) and Lucas (A000032) numbers respectively.

0, 1, 1, 1, 3, 1, 4, 2, 4, 2, 3, 7, 3, 7, 3, 11, 5, 11, 5, 11, 5, 8, 18, 8, 18, 8, 18, 8, 29, 13, 29, 13, 29, 13, 29, 13, 21, 47, 21, 47, 21, 47, 21, 47, 21, 76, 34, 76, 34, 76, 34, 76, 34, 76, 34, 55, 123, 55, 123, 55, 123, 55, 123, 55, 123, 55, 199, 89, 199, 89, 199, 89, 199

Offset

0,5

Links

Table of n, a(n) for n=0..72.

Formula

E(n, k) = (fibonacci(n+k-(n mod 2))+fibonacci(n+k+(n mod 2)))/(2-(n mod 2))

Maple

with(combinat); [seq(A075148(A025581(n), A002262(n)), n=0..119)]; A075148 := (n, k) -> (fibonacci(n+k-(n mod 2))+fibonacci(n+k+(n mod 2)))/(2-(n mod 2));

Crossrefs

Used to construct A050609 & A048757. Cf. A025581, A002262.

Sequence in context: A346770 A048225 A155481 * A210722 A162341 A066728

Adjacent sequences: A075145 A075146 A075147 * A075149 A075150 A075151

Keyword

nonn,tabl

Author

Antti Karttunen, Sep 05 2002

Status

approved