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A099856
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Expansion of (1+3x)/(1-3x).
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4
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1, 6, 18, 54, 162, 486, 1458, 4374, 13122, 39366, 118098, 354294, 1062882, 3188646, 9565938, 28697814, 86093442, 258280326, 774840978, 2324522934, 6973568802, 20920706406, 62762119218, 188286357654, 564859072962, 1694577218886
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A099858 gives a Chebyshev transform. Binomial transform is A083420.
Hankel transform is : 1, -18, 0, 0, 0, 0, 0, 0, 0, ... - DELEHAM Philippe, Dec 13 2011
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FORMULA
| a(n)=6*3^(n-1)-0^n.
a(n)=A025192(n+1), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 02 2008]
a(n) = Sum_{k, 0<=k<=n} A093561(n,k)*2^k . - DELEHAM Philippe, Dec 13 2011
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MATHEMATICA
| CoefficientList[Series[(1+3x)/(1-3x), {x, 0, 30}], x] (* or *) Join[{1}, NestList[3#&, 6, 30]] (* From Harvey P. Dale, Nov 08 2011 *)
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CROSSREFS
| Sequence in context: A174313 A002933 A016089 * A007206 A183913 A056349
Adjacent sequences: A099853 A099854 A099855 * A099857 A099858 A099859
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Oct 28 2004
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