OFFSET
0,4
COMMENTS
The numbers in rows of the triangle are along skew diagonals pointing top-left in center-justified triangle given in A304209.
The coefficients in the expansion of 1/(1-x+2*x^2-2*x^3) are given by the sequence generated by the row sums.
REFERENCES
Shara Lalo and Zagros Lalo, Polynomial Expansion Theorems and Number Triangles, Zana Publishing, 2018, ISBN: 978-1-9995914-0-3, pp. 204, 205.
LINKS
Shara Lalo, Left-justified Triangle
EXAMPLE
Triangle begins:
1;
1;
1, -2;
1, -4, 2;
1, -6, 8;
1, -8, 18, -8;
1, -10, 32, -32, 4;
1, -12, 50, -80, 36;
1, -14, 72, -160, 136, -24;
1, -16, 98, -280, 360, -160, 8;
1, -18, 128, -448, 780, -592, 128;
1, -20, 162, -672, 1484, -1632, 720, -64;
1, -22, 200, -960, 2576, -3752, 2624, -640, 16;
...
PROG
(PARI) T(n, k) = if ((n<0) || (k<0), 0, if ((n==0) && (k==0), 1, T(n-1, k)-2*T(n-2, k-1)+2*T(n-3, k-2)));
tabf(nn) = for (n=0, nn, for (k=0, 2*n\3, print1(T(n, k), ", ")); print); \\ Michel Marcus, May 10 2018
CROSSREFS
KEYWORD
tabf,easy,sign
AUTHOR
Shara Lalo, May 08 2018
STATUS
approved