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A084567 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). 2
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; refs; listen; history; internal format)
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 (absolute values).

Sequence in context: A148622 A148623 A054878 * A135686 A151961 A025229

Adjacent sequences:  A084564 A084565 A084566 * A084568 A084569 A084570

KEYWORD

easy,sign

AUTHOR

Paul Barry (pbarry(AT)wit.ie), May 30 2003

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Last modified February 14 22:18 EST 2012. Contains 205673 sequences.