A162766 - OEIS

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A162766

a(n) = 3*a(n-2) for n > 2; a(1) = 4, a(2) = 3.

4, 3, 12, 9, 36, 27, 108, 81, 324, 243, 972, 729, 2916, 2187, 8748, 6561, 26244, 19683, 78732, 59049, 236196, 177147, 708588, 531441, 2125764, 1594323, 6377292, 4782969, 19131876, 14348907, 57395628, 43046721, 172186884, 129140163 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`Apparently a(n) = A074324(n+1).` `Binomial transform is A162559. Second binomial transform is A077236.`
	FORMULA	`a(n) = (5-3(-1)^n)3^(1/4(2n-1+(-1)^n))/2.` `G.f.: x(4+3x)/(1-3*x^2).`
	PROG	`(MAGMA) [ n le 2 select 5-n else 3*Self(n-2): n in [1..34] ];`
	CROSSREFS	`Cf. A074324, A162559, A077236, A162436.` `Sequence in context: A168430 A074324 * A166552 A122804 A122544 A205371` `Adjacent sequences: A162763 A162764 A162765 * A162767 A162768 A162769`
	KEYWORD	`nonn`
	AUTHOR	`Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jul 13 2009`
	EXTENSIONS	`G.f. corrected by Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 18 2009`

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Last modified February 17 12:30 EST 2012. Contains 206014 sequences.