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A372272
Decimal expansion of the middle positive zero of the Legendre polynomial of degree 6.
10
6, 6, 1, 2, 0, 9, 3, 8, 6, 4, 6, 6, 2, 6, 4, 5, 1, 3, 6, 6, 1, 3, 9, 9, 5, 9, 5, 0, 1, 9, 9, 0, 5, 3, 4, 7, 0, 0, 6, 4, 4, 8, 5, 6, 4, 3, 9, 5, 1, 7, 0, 0, 7, 0, 8, 1, 4, 5, 2, 6, 7, 0, 5, 8, 5, 2, 1, 8, 3, 4, 9, 6, 6, 0, 7, 1, 4, 3, 1, 0, 0, 9, 4, 4, 2, 8, 6
OFFSET
0,1
FORMULA
Middle positive root of 231*x^6 - 315*x^4 + 105*x^2 - 5 = 0.
EXAMPLE
0.661209386466264513661399595019905347006448564395170070814526...
CROSSREFS
There are floor(k/2) positive zeros of the Legendre polynomial of degree k:
k | zeros
---+--------------------------
2 | A020760
3 | A010513/10
Sequence in context: A322622 A176565 A176567 * A283100 A065493 A133890
KEYWORD
nonn,cons
AUTHOR
STATUS
approved