OFFSET
0,2
COMMENTS
Row sums = A051049 starting (1, 4, 7, 16, 31, 64, ...).
FORMULA
G.f. = G(t,z) = (1 + 3z - tz - 2tz^2)/((1+z)(1-tz)(1-z-tz)). - Emeric Deutsch, Jun 21 2007
EXAMPLE
First few rows of the triangle are
1;
3, 1;
1, 5, 1;
3, 5, 7, 1;
1, 9, 11, 9, 1;
3, 9, 21, 19, 11, 1;
1, 13, 29, 41, 29, 13, 1;
...
MAPLE
T := proc (n, k) if k <= n then 2*binomial(n, k)-(-1)^(n-k) else 0 end if end proc: for n from 0 to 11 do seq(T(n, k), k = 0 .. n) end do; # yields sequence in triangular form - Emeric Deutsch, Jun 21 2007
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Jun 14 2007
EXTENSIONS
More terms from Emeric Deutsch, Jun 21 2007
Sequence corrected by N. J. A. Sloane, Sep 30 2007
STATUS
approved