id:A117575 - OEIS Search Results

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Expansion of (1-x^3)/((1-x)(1+2x^2)).

+0
2

1, 1, -1, -2, 2, 4, -4, -8, 8, 16, -16, -32, 32, 64, -64, -128, 128, 256, -256, -512, 512, 1024, -1024, -2048, 2048, 4096, -4096, -8192, 8192, 16384, -16384, -32768, 32768, 65536, -65536, -131072, 131072, 262144, -262144, -524288, 524288 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`Row sums of A116949.`
	FORMULA	`a(n)=a(n-1)-2a(n-2)+2a(n-3), n>3; a(n)=(cos(pi/2)+sin(pin/2))*(2^((n-1)/2)(1-(-1)^n)/2+2^((n-2)/2)(1+(-1)^n)/2+0^n/2).`
	CROSSREFS	`Sequence in context: A082267 A076939 A131572 this_sequence A016116 A060546 A120803` `Adjacent sequences: A117572 A117573 A117574 this_sequence A117576 A117577 A117578`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 29 2006`

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Last modified November 18 20:14 EST 2008. Contains 147244 sequences.

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