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A227423 Decimal expansion of 'lambda', a Young-Fejér-Jackson constant linked to the positivity of certain sine sums. 3
4, 3, 0, 2, 9, 6, 6, 5, 3, 1, 2, 4, 2, 0, 2, 7, 5, 7, 7, 7, 2, 1, 9, 8, 4, 4, 5, 4, 5, 8, 5, 4, 8, 3, 6, 8, 9, 2, 2, 0, 3, 1, 5, 3, 1, 7, 0, 1, 1, 9, 3, 9, 2, 9, 9, 5, 3, 6, 2, 9, 4, 3, 7, 5, 9, 3, 3, 9, 4, 3, 9, 6, 8, 6, 2, 9, 2, 3, 6, 3, 1, 1, 1, 0, 3, 9, 5, 3, 0, 4, 2, 8, 7, 1, 0, 9, 1, 2, 2, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, p. 242.

LINKS

Table of n, a(n) for n=0..100.

FORMULA

lambda = min { x>0 : (1+x)*Pi - tan(x*Pi) = 0 }.

EXAMPLE

0.43029665312420275777219844545854836892203153170119392995362943759339439686...

MAPLE

numdigits:= 120:

lambda:= solve((1+x)*Pi = tan(x*Pi), x):

s:= convert(evalf(lambda, numdigits+10), string):

seq(parse(s[n+1]), n=1..numdigits);  # Alois P. Heinz, Jul 11 2013

MATHEMATICA

lambda /. FindRoot[(1 + lambda)*Pi == Tan[lambda*Pi], {lambda, 2/5}, WorkingPrecision -> 100] // RealDigits // First

CROSSREFS

Cf. A227422, A227424, A227425.

Sequence in context: A198261 A284056 A296002 * A199443 A142723 A296228

Adjacent sequences:  A227420 A227421 A227422 * A227424 A227425 A227426

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Jul 11 2013

STATUS

approved

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Last modified November 14 23:27 EST 2018. Contains 317221 sequences. (Running on oeis4.)