OFFSET
0,2
COMMENTS
The numbers in rows of the triangle are along skew diagonals pointing top-right in center-justified triangle given in A304209.
The coefficients in the expansion of 1/(1-2*x+2*x^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;
2;
4, -2;
8, -8, 1;
16, -24, 8;
32, -64, 36, -4;
64, -160, 128, -32, 1;
128, -384, 400, -160, 18;
256, -896, 1152, -640, 136, -6;
512, -2048, 3136, -2240, 720, -80, 1;
1024, -4608, 8192, -7168, 3120, -592, 32;
2048, -10240, 20736, -21504, 11872, -3264, 360, -8;
4096, -22528, 51200, -61440, 41216, -15008, 2624, -160, 1;
8192, -49152, 123904, -168960, 133632, -60928, 14896, -1632, 50;
16384, -106496, 294912, -450560, 410880, -225792, 71680, -11776, 780, -10;
...
PROG
(PARI) T(n, k) = if ((n<0) || (k<0), 0, if ((n==0) && (k==0), 1, 2*T(n-1, k)-2*T(n-2, k-1)+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