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A372273
Decimal expansion of the largest positive zero of the Legendre polynomial of degree 6.
10
9, 3, 2, 4, 6, 9, 5, 1, 4, 2, 0, 3, 1, 5, 2, 0, 2, 7, 8, 1, 2, 3, 0, 1, 5, 5, 4, 4, 9, 3, 9, 9, 4, 6, 0, 9, 1, 3, 4, 7, 6, 5, 7, 3, 7, 7, 1, 2, 2, 8, 9, 8, 2, 4, 8, 7, 2, 5, 4, 9, 6, 1, 6, 5, 2, 6, 6, 1, 3, 5, 0, 0, 8, 4, 4, 2, 0, 0, 1, 9, 6, 2, 7, 6, 2, 8, 8
OFFSET
0,1
FORMULA
Largest positive root of 231*x^6 - 315*x^4 + 105*x^2 - 5 = 0.
EXAMPLE
0.932469514203152027812301554493994609134765737712289824872549...
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: A195704 A176516 A337768 * A210644 A072559 A019941
KEYWORD
nonn,cons
AUTHOR
STATUS
approved