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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) = (n-1,k) + (n-1,k-1). 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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified January 20 08:18 EST 2020. Contains 331081 sequences. (Running on oeis4.)