id:A104551 - OEIS Search Results

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Expansion of x/((1-x)sqrt(1+4x^2)).

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0, 1, 1, -1, -1, 5, 5, -15, -15, 55, 55, -197, -197, 727, 727, -2705, -2705, 10165, 10165, -38455, -38455, 146301, 146301, -559131, -559131, 2145025, 2145025, -8255575, -8255575, 31861025, 31861025 (list; graph; listen)

	OFFSET	`0,6`
	COMMENT	`A transformation of the Fibonacci numbers A000045 by the Riordan array (1/sqrt(1+4x^2), (sqrt(1+4x^2)-1)/(2x)).`
	FORMULA	`a(n)=sum{k=0..n, (sin(pik/2)+cos(pik)/2+1/2)C(k-1, (k-1)/2)(1-(-1)^k)/2}.`
	CROSSREFS	`Cf. A054108.` `Adjacent sequences: A104548 A104549 A104550 this_sequence A104552 A104553 A104554` `Sequence in context: A062367 A061200 A050350 this_sequence A100746 A050341 A140360`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 14 2005`

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Last modified October 16 00:31 EDT 2008. Contains 145098 sequences.

AT&T Labs Research