

A133124


A007318 * [1, 2, 2, 3, 2, 3, 2, 3, 2,...].


4




OFFSET

0,2


LINKS

Table of n, a(n) for n=0..9.
Index entries for linear recurrences with constant coefficients, signature (4, 5, 2).


FORMULA

Binomial transform of [1, 2, 2, 3, 2, 3, 2, 3, 2,...]. a(n) = 2^(n+1) + 2^(n1)  (n+1).
Row sums of triangle A133938.  Gary W. Adamson, Sep 29 2007
G.f.: 1x*(35*x+3*x^2)/(1+x)^2/(1+2*x).  R. J. Mathar, Nov 14 2007


EXAMPLE

a(3) = (1, 3, 3, 1) dot (1, 2, 2, 3) = (1 + 6 + 6 + 3).
a(5) = 74 = 2^6 + 2^4  6 = 64 + 16  6.


CROSSREFS

Cf. A000079.
Cf. A133938.
Sequence in context: A239257 A268394 A238913 * A104004 A101509 A240741
Adjacent sequences: A133121 A133122 A133123 * A133125 A133126 A133127


KEYWORD

nonn


AUTHOR

Gary W. Adamson, Sep 19 2007


STATUS

approved



