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A372274
Decimal expansion of the smallest positive zero of the Legendre polynomial of degree 7.
10
4, 0, 5, 8, 4, 5, 1, 5, 1, 3, 7, 7, 3, 9, 7, 1, 6, 6, 9, 0, 6, 6, 0, 6, 4, 1, 2, 0, 7, 6, 9, 6, 1, 4, 6, 3, 3, 4, 7, 3, 8, 2, 0, 1, 4, 0, 9, 9, 3, 7, 0, 1, 2, 6, 3, 8, 7, 0, 4, 3, 2, 5, 1, 7, 9, 4, 6, 6, 3, 8, 1, 3, 2, 2, 6, 1, 2, 5, 6, 5, 5, 3, 2, 8, 3, 1, 2
OFFSET
0,1
FORMULA
Smallest positive root of 429*x^6 - 693*x^4 + 315*x^2 - 35 = 0.
EXAMPLE
0.405845151377397166906606412076961463347382014099370126387043...
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: A102293 A198747 A021965 * A355921 A164108 A064520
KEYWORD
nonn,cons
AUTHOR
STATUS
approved