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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. 3
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 (list; table; graph; refs; listen; history; text; internal format)
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: A194307 A048225 A155481 * A210722 A162341 A066728

Adjacent sequences:  A075145 A075146 A075147 * A075149 A075150 A075151

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Sep 05 2002

STATUS

approved

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Last modified January 18 11:25 EST 2019. Contains 319271 sequences. (Running on oeis4.)