A083222 - OEIS

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A083222

(4*5^n+(-5)^n)/5.

1, 3, 25, 75, 625, 1875, 15625, 46875, 390625, 1171875, 9765625, 29296875, 244140625, 732421875, 6103515625, 18310546875, 152587890625, 457763671875, 3814697265625, 11444091796875, 95367431640625, 286102294921875 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Binomial transform of A083297.`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..300`
	FORMULA	`a(n)=(4*5^n+(-5)^n)/5. G.f. (1+3x)/((1+5x)(1-5x)). E.g.f. (4exp(5x)+exp(-5x))/5`
	PROG	`(MAGMA) [(45^n+(-5)^n)/5: n in [0..25]]; // Vincenzo Librandi, Jun 29 2011` `(PARI) a(n)=(45^n+(-5)^n)/5 \\ Charles R Greathouse IV, Jun 29 2011`
	CROSSREFS	`Cf. A083223, A083299.` `Sequence in context: A006222 A129443 A083298 * A041565 A114378 A075306` `Adjacent sequences: A083219 A083220 A083221 * A083223 A083224 A083225`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 23 2003`
	EXTENSIONS	`Edited by N. J. A. Sloane (njas(AT)research.att.com), Jun 08 2007`

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Last modified February 17 13:28 EST 2012. Contains 206031 sequences.