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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, 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
0,4
EXAMPLE
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
PROG
(PARI) for (n=0, 15, my(P=pollegendre(n, 'x)); for (j=0, n, print1(denominator(polcoef(P, j)), ", ")); print())
CROSSREFS
A356205 are the corresponding numerators.
Sequence in context: A230287 A336336 A168580 * A318707 A363228 A235726
KEYWORD
nonn,frac,tabl
AUTHOR
Hugo Pfoertner, Jul 29 2022
STATUS
approved