A300628 Triangular array T(n,k) giving coefficients in expansion of Product_{j=1..n} (1+x^j)^2 mod x^(n+1)-1.

1, 2, 2, 6, 5, 5, 16, 16, 16, 16, 52, 51, 51, 51, 51, 172, 170, 170, 172, 170, 170, 586, 585, 585, 585, 585, 585, 585, 2048, 2048, 2048, 2048, 2048, 2048, 2048, 2048, 7286, 7280, 7280, 7285, 7280, 7280, 7285, 7280, 7280, 26216, 26214, 26214, 26214, 26214, 26216, 26214, 26214, 26214, 26214

Offset: 0

Author

Seiichi Manyama, Mar 10 2018

Keywords

• nonn
• tabl

Examples

			Triangle begins:               A053633
  k  0    1    2    3    4   |  k  0    1    2    3    4    5    6    7    8    9
n                            |n
0    1;                      |1    1,   1;
1    2,   2;                 |3    2,   2,   2,   2;
2    6,   5,   5;            |5    6,   5,   5,   6,   5,   5;
3   16,  16,  16,  16;       |7   16,  16,  16,  16,  16,  16,  16,  16;
4   52,  51,  51,  51,  51;  |9   52,  51,  51,  51,  51,  52,  51,  51,  51,  51;
    ...                      |    ...
		

Links

• Seiichi Manyama, Rows n = 0..139, flattened

Crossrefs

Cf. A053633, A054660, A298983.

Programs

PARI

T(n,k) = polcoeff(prod(j=1, n, (1+x^j)^2) % (x^(n+1) - 1), k);
tabl(nn) = for (n=0, nn, for (k=0, n, print1(T(n, k), ", ")); print); \\ Michel Marcus, Mar 10 2018