A356206 T(n,k) are the denominators of the coefficients of the Legendre polynomials of degree n, with increasing exponents, where T(n,k) is a triangle read by rows.
1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 8, 1, 4, 1, 8, 1, 8, 1, 4, 1, 8, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 128, 1, 32, 1, 64, 1, 32, 1, 128, 1, 128, 1, 32, 1, 64, 1, 32, 1, 128, 256, 1, 256, 1, 128, 1, 128, 1, 256, 1, 256, 1, 256, 1, 256, 1, 128, 1, 128, 1, 256, 1, 256
Offset: 0
Examples
The triangle begins:
1;
1, 1;
2, 1, 2;
1, 2, 1, 2;
8, 1, 4, 1, 8;
1, 8, 1, 4, 1, 8;
16, 1, 16, 1, 16, 1, 16;
1, 16, 1, 16, 1, 16, 1, 16;
128, 1, 32, 1, 64, 1, 32, 1, 128;
1, 128, 1, 32, 1, 64, 1, 32, 1, 128
Crossrefs
A356205 are the corresponding numerators.
Programs
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PARI
for (n=0, 15, my(P=pollegendre(n,'x));for (j=0, n, print1(denominator(polcoef(P,j)),", ")); print())