OFFSET
0,2
COMMENTS
The first column is A000295 signed. - Michel Marcus, Feb 14 2014
LINKS
Ana Luzón, Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series, arXiv:0907.2328 [math.CO], 2009-2010; Discrete Math., 310 (2010), 3607-3618.
Ana Luzón and Manuel A. Morón, Riordan matrices in the reciprocation of quadratic polynomials, Linear Algebra Appl. 430 (2009), no. 8-9, 22542270.
EXAMPLE
Array begins:
-1;
-4, 1;
-11, 6, -1;
-26, 23, -8, 1;
-57, 72, -39, 10, -1;
-120, 201, -150, 59, -12, 1;
...
MATHEMATICA
t[n_, k_] := t[n, k] = If[n<0, 0, If[k==0, n+3-2^(n+2), If[k>n, 0, 2 t[n-1, k] - t[n-1, k-1]]]];
Table[t[n, k], {n, 0, 9}, {k, 0, n}] // Flatten (* Jean-François Alcover, Sep 24 2018, from PARI *)
PROG
(PARI) t(n, k) = if (n < 0, 0, if (k == 0, n + 3 - 2^(n+2), if (k >n, 0, 2*tr(n-1, k) - tr(n-1, k-1)))); \\ Michel Marcus, Feb 14 2014
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
N. J. A. Sloane, Nov 17 2010
EXTENSIONS
a(0) corrected and more terms from Michel Marcus, Feb 14 2014
STATUS
approved