A134351 Binomial transform of [1, 5, -1, 5, -1, 5, ...]. Inverse binomial transform of A134350.

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

Author

Gary W. Adamson, Oct 21 2007

Keywords

• nonn

Examples

			a(4) = 18 = (1, 3, 3, 1) dot (1, 5, -1, 5) = (1 + 15 - 3 + 5).
		

Links

• Index entries for linear recurrences with constant coefficients, signature (3, -2).

Crossrefs

Cf. A134350.

Essentially the same as A133140, A089985, A052548.

Programs

Maple

1,seq(2^(n+1)+2,n=1..25); # Emeric Deutsch, Oct 24 2007

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

Extensions

More terms from Emeric Deutsch, Oct 24 2007

More terms from R. J. Mathar, Apr 02 2008