A140062 101*2^(n-1) - 100.

1, 102, 304, 708, 1516, 3132, 6364, 12828, 25756, 51612, 103324, 206748, 413596, 827292, 1654684, 3309468, 6619036, 13238172, 26476444, 52952988, 105906076, 211812252, 423624604, 847249308, 1694498716

Offset

1,2

Links

Table of n, a(n) for n=1..25.

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

Formula

a(n) = 2*a(n-1) + 100 = 100*A000225(n-1) + A000079(n-1).

Binomial transform of [1, 101, 101, 101,...].

a(n) = 3*a(n-1)-2*a(n-2). G.f.: x*(1+99*x)/((1-x)*(1-2*x)). - Colin Barker, Aug 12 2012

Example

a(4) = 708 = 2*a(3) + 100 = 2*304 + 100.
a(4) = 708 = (1, 3, 3, 1) dot (1, 101, 101, 101) = (1 + 303 + 303 + 101) binomial transform of 94)

Maple

seq(101*2^(n-1)-100, n=1..25); - Emeric Deutsch, May 07 2008

Crossrefs

Sequence in context: A284450 A173968 A173969 * A203407 A204867 A204860

Adjacent sequences: A140059 A140060 A140061 * A140063 A140064 A140065

Keyword

nonn,easy

Author

Gary W. Adamson, May 03 2008

Extensions

More terms and new name from Emeric Deutsch, May 07 2008

Status

approved