A049678 - OEIS

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A049678

a(n)=F(8n+4)/3, where F=A000045 (the Fibonacci sequence).

1, 48, 2255, 105937, 4976784, 233802911, 10983760033, 516002918640, 24241153416047, 1138818207635569, 53500214605455696, 2513371268248782143, 118074949393087305025, 5547009250206854554032 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Tanya Khovanova, Recursive Sequences`
	FORMULA	`a(n) = 47a(n-1) - a(n-2), n>1. a(0)=1, a(1)=48.` `G.f.: (1+x)/(1-47x+x^2).`
	MATHEMATICA	`CoefficientList[Series[(1+x)/(1-47x+x^2), {x, 0, 20}], x] (* From Harvey P. Dale, Feb 18 2011 *)`
	CROSSREFS	`A049678(n) = A049653(2n+1).` `Sequence in context: A008845 A152068 A165043 * A162913 A156093 A163266` `Adjacent sequences: A049675 A049676 A049677 * A049679 A049680 A049681`
	KEYWORD	`nonn`
	AUTHOR	`Clark Kimberling (ck6(AT)evansville.edu)`
	EXTENSIONS	`Better description and more terms from Michael Somos`

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Last modified February 16 15:27 EST 2012. Contains 205930 sequences.