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A322456
Triangle of Touchard's chord enumerating polynomial coefficients [x^k] P_n(x).
1
1, 1, 1, 3, 1, 4, 10, 12, 1, 5, 15, 35, 60, 77, 55, 1, 6, 21, 56, 126, 240, 391, 546, 624, 546, 273, 1, 7, 28, 84, 210, 462, 910, 1619, 2618, 3857, 5138, 6125, 6405, 5600, 3740, 1428, 1, 8, 36, 120, 330, 792, 1716, 3416, 6308, 10872, 17564, 26664, 38030, 50864, 63580, 73848, 78880, 76296, 65076, 46512, 25194, 7752
OFFSET
1,4
LINKS
FORMULA
T(n,k) = [x^k] P_n(x), k=n*(n-1)/2 down to k=n-1.
EXAMPLE
The triangle starts
1;
1;
1, 3;
1, 4, 10, 12;
1, 5, 15, 35, 60, 77, 55;
1, 6, 21, 56, 126, 240, 391, 546, 624, 546, 273;
1, 7, 28, 84, 210, 462, 910, 1619, 2618, 3857, 5138, 6125, 6405, 5600, 3740, 1428;
CROSSREFS
Cf. A322398 (S_n(x)), A000699 (row sums), A232223 (transpose)
Sequence in context: A178300 A081720 A137405 * A301701 A262078 A121922
KEYWORD
nonn,tabf
AUTHOR
R. J. Mathar, Dec 09 2018
STATUS
approved