

A125170


Binomial transform of an infinite lower triangular matrix with (1,1,2,4,8...) in every column and the rest zeros. Let the left column = A007051, then for k>1, T(n,k) = (n1,k) + (n1,k1).


0



1, 2, 1, 5, 3, 1, 14, 8, 4, 1, 41, 22, 12, 5, 1, 122, 63, 34, 17, 6, 1, 365, 185, 97, 51, 23, 7, 1, 1094, 550, 282, 148, 74, 30, 8, 1, 3281, 1644, 832, 430, 222, 104, 38, 9, 1
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OFFSET

0,2


COMMENTS

Row sums = powers of 3. Left border = A007051, (3^n + 1)/2 = (1, 2, 5, 14, 41, 122, 365,...).


LINKS

Table of n, a(n) for n=0..44.


EXAMPLE

(5,3) = 34 = 12 + 22 = (4,3) + (4,2). First few rows of the triangle are:
1;
2, 1;
5, 3, 1;
14, 8, 4, 1;
41, 22, 12, 5, 1;
122, 63, 34, 17, 6, 1;
...


CROSSREFS

Cf. A007051.
Sequence in context: A112339 A132808 A135233 * A054445 A105848 A048471
Adjacent sequences: A125167 A125168 A125169 * A125171 A125172 A125173


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Nov 22 2006


EXTENSIONS

Edited by N. J. A. Sloane, Oct 07 200


STATUS

approved



