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A298983
Triangle read by rows T(n,k) giving coefficients in expansion of Product_{j=1..n} (1-x^j)^2 mod x^(n+1)-1.
2
1, 2, -2, 6, -3, -3, 8, 0, -8, 0, 20, -5, -5, -5, -5, 12, 6, -6, -12, -6, 6, 42, -7, -7, -7, -7, -7, -7, 32, 0, 0, 0, -32, 0, 0, 0, 54, 0, 0, -27, 0, 0, -27, 0, 0, 40, 10, -10, 10, -10, -40, -10, 10, -10, 10, 110, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11
OFFSET
0,2
LINKS
FORMULA
T(n,k) = (n+1) * Sum_{d | gcd(n+1,n+1-k)} d*mu((n+1)/d) for 0 <= k <= n.
So T(n,0) = A002618(n+1) and T(n,n) = A055615(n+1).
EXAMPLE
Triangle begins:
k 0 1 2 3 4 5 6
n
0 1;
1 2, -2;
2 6, -3, -3;
3 8, 0, -8, 0;
4 20, -5, -5, -5, -5;
5 12, 6, -6, -12, -6, 6;
6 42, -7, -7, -7, -7, -7, -7;
CROSSREFS
KEYWORD
sign,tabl
AUTHOR
Seiichi Manyama, Mar 10 2018
STATUS
approved