id:A084157 - OEIS Search Results

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a(n)=8a(n-1)-16a(n-2)+12a(n-4); a(0)=0, a(1)=1, a(2)=4, a(3)=22.

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0, 1, 4, 22, 112, 556, 2704, 13000, 62080, 295312, 1401664, 6644320, 31472896, 149017792, 705395968, 3338614912, 15800258560, 74772443392, 353840161792, 1674425579008, 7923565146112, 37494981225472, 177428889407488 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Binomial transform of A084156. a(n)=(A083881(n)-A026150(n))/2.`
	FORMULA	`a(n)=8a(n-1)-16a(n-2)+12a(n-4); a(0)=0, a(1)=1; a(n)=((3+sqrt(3))^n+(3-sqrt(3))^n-(1+sqrt(3))^n-(1-sqrt(3))^n)/4; G.f.: x(1-4x+6x^2)/((1-2x-2x^2)(1-6x+6x^2)); E.g.f. : exp(2x)sinh(x)cosh(sqrt(3)x).`
	CROSSREFS	`Cf. A084155.` `Adjacent sequences: A084154 A084155 A084156 this_sequence A084158 A084159 A084160` `Sequence in context: A006651 A144047 A077543 this_sequence A085939 A106835 A025569`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 16 2003`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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