id:A084567 - OEIS Search Results

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Binomial transform of (1,-1,4,-16,64,-256,1024,....)=(3*0^n-(-4)^n)/4. Partial sums of (1,-1,3,-9,27,-81,....)=(1+2x)/(1+3x).

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1, 0, 3, -6, 21, -60, 183, -546, 1641, -4920, 14763, -44286, 132861, -398580, 1195743, -3587226, 10761681, -32285040, 96855123, -290565366, 871696101, -2615088300, 7845264903, -23535794706, 70607384121, -211822152360, 635466457083, -1906399371246 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: (1+2x)/((1-x)(1+3x)); E.g.f.: (3exp(x)-exp(-3x))/4; a(n)=(3-(-3)^n)/4.`
	CROSSREFS	`Cf. A054878.` `Sequence in context: A148622 A148623 A054878 this_sequence A135686 A151961 A025229` `Adjacent sequences: A084564 A084565 A084566 this_sequence A084568 A084569 A084570`
	KEYWORD	`easy,sign`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 30 2003`

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.

AT&T Labs Research