A356206 - OEIS

%I #4 Jul 29 2022 14:14:21

%S 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,

%T 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,

%U 1,256,1,128,1,128,1,256,1,256,1,256,1,256,1,128,1,128,1,256,1,256

%N 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.

%e The triangle begins:

%e     1;

%e     1,   1;

%e     2,   1,  2;

%e     1,   2,  1,  2;

%e     8,   1,  4,  1,  8;

%e     1,   8,  1,  4,  1,  8;

%e    16,   1, 16,  1, 16,  1, 16;

%e     1,  16,  1, 16,  1, 16,  1, 16;

%e   128,   1, 32,  1, 64,  1, 32,  1, 128;

%e     1, 128,  1, 32,  1, 64,  1, 32,   1, 128

%o (PARI) for (n=0, 15, my(P=pollegendre(n,'x));for (j=0, n, print1(denominator(polcoef(P,j)),", ")); print())

%Y A356205 are the corresponding numerators.

%K nonn,frac,tabl

%O 0,4

%A _Hugo Pfoertner_, Jul 29 2022