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

0,2

Links

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

Example

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;
    ...                      |    ...

Prog

(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

Crossrefs

Cf. A053633, A054660, A298983.

Sequence in context: A368228 A275142 A200226 * A115255 A055924 A286278

Adjacent sequences: A300625 A300626 A300627 * A300629 A300630 A300631

Keyword

nonn,tabl

Author

Seiichi Manyama, Mar 10 2018

Status

approved