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A356206
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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.
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1
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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
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OFFSET
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0,4
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LINKS
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EXAMPLE
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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
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PROG
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(PARI) for (n=0, 15, my(P=pollegendre(n, 'x)); for (j=0, n, print1(denominator(polcoef(P, j)), ", ")); print())
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CROSSREFS
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A356205 are the corresponding numerators.
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KEYWORD
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AUTHOR
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STATUS
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approved
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