

A104570


Triangle read by rows: T(i,j) is the (i,j)entry (1 <= j <= i) of the product R*Q of the infinite lower triangular matrices R = [1; 1,1; 1,1,1; 1,1,1,1;...] and Q = [1; 1,3; 1,3,1; 1 3,1,3; ...].


2



1, 2, 3, 3, 6, 1, 4, 9, 2, 3, 5, 12, 3, 6, 1, 6, 15, 4, 9, 2, 3, 7, 18, 5, 12, 3, 6, 1, 8, 21, 6, 15, 4, 9, 2, 3, 9, 24, 7, 18, 5, 12, 3, 6, 1, 10, 27, 8, 21, 6, 15, 4, 9, 2, 3, 11, 30, 9, 24, 7, 18, 5, 12, 3, 6, 1, 12, 33, 10, 27, 8, 21, 6, 15, 4, 9, 2, 3, 13, 36, 11, 30, 9, 24, 7, 18, 5, 12, 3, 6
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..90.


FORMULA

Even columns (offset) = 1, 2, 3, ...; while odd columns = 3, 6, 9, ...
T(i,j) = ij+1 if j <= i and j is odd; 3(ij+1) if j <= i and j is even.  Emeric Deutsch, Mar 23 2005


EXAMPLE

The first few rows of the triangle are:
1;
2, 3;
3, 6, 1;
4, 9, 2, 3;
...


MAPLE

T:=proc(i, j) if j>i then 0 elif j mod 2 = 1 then ij+1 else 3*(ij+1) fi end:for i from 1 to 14 do seq(T(i, j), j=1..i) od; # yields sequence in triangular form # Emeric Deutsch, Mar 23 2005


CROSSREFS

Cf. A035608, A074377, A104569.
Row sums yield A035608. The product Q*R yields A104569.
Sequence in context: A046826 A323713 A054892 * A071915 A182578 A021432
Adjacent sequences: A104567 A104568 A104569 * A104571 A104572 A104573


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Mar 16 2005


EXTENSIONS

More terms from Emeric Deutsch, Mar 23 2005


STATUS

approved



