id:A075148 - OEIS Search Results

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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.

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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; listen)

	OFFSET	`0,5`
	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: A116537 A048225 A155481 this_sequence A162341 A066728 A066899` `Adjacent sequences: A075145 A075146 A075147 this_sequence A075149 A075150 A075151`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Antti Karttunen Sep 05 2002`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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