A093041 - OEIS

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A093041

Expansion of (1-4x+6x^2-3x^3)/(1-5x+9x^2-8x^3+4x^4).

1, 1, 2, 6, 16, 38, 86, 192, 426, 938, 2048, 4438, 9558, 20480, 43690, 92842, 196608, 415062, 873814, 1835008, 3844778, 8039082, 16777216, 34952534, 72701270, 150994944, 313174698, 648719018, 1342177280, 2773833046, 5726623062 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`Binomial transform of A008611.`
	FORMULA	`a(n)=2(cos(pin/3)-sqrt(3)sin(pin/3)/3)/3+2^n/3+n2^(n-1)/3; a(n)=2A010892(n+1)/3+A000079(n)/3+A001787(n)/3.`
	CROSSREFS	`Sequence in context: A074082 A097813 A167821 * A156616 A046209 A198951` `Adjacent sequences: A093038 A093039 A093040 * A093042 A093043 A093044`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 18 2004`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.