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A134351
Binomial transform of [1, 5, -1, 5, -1, 5, ...]. Inverse binomial transform of A134350.
1
1, 6, 10, 18, 34, 66, 130, 258, 514, 1026, 2050, 4098, 8194, 16386, 32770, 65538, 131074, 262146, 524290, 1048578, 2097154, 4194306, 8388610, 16777218, 33554434, 67108866, 134217730, 268435458, 536870914, 1073741826, 2147483650
OFFSET
1,2
FORMULA
a(n) = 2 + 2^(n+1) for n >= 2; a(1)=1. - Emeric Deutsch, Oct 24 2007
O.g.f.: (-1-3*x+6*x^2)/((1-x)*(-1+2*x)). - R. J. Mathar, Apr 02 2008
EXAMPLE
a(4) = 18 = (1, 3, 3, 1) dot (1, 5, -1, 5) = (1 + 15 - 3 + 5).
MAPLE
1, seq(2^(n+1)+2, n=1..25); # Emeric Deutsch, Oct 24 2007
CROSSREFS
Cf. A134350.
Essentially the same as A133140, A089985, A052548.
Sequence in context: A169873 A363788 A079471 * A307458 A338450 A287273
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Oct 21 2007
EXTENSIONS
More terms from Emeric Deutsch, Oct 24 2007
More terms from R. J. Mathar, Apr 02 2008
STATUS
approved