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A243108

Decimal expansion of the 5th du Bois-Reymond constant.

0, 0, 1, 0, 5, 6, 1, 0, 2, 1, 0, 7, 3, 3, 4, 8, 0, 9, 2, 0, 5, 6, 2, 1, 9, 9, 1, 5, 8, 2, 1, 0, 7, 8, 1, 1, 7, 6, 7, 4, 4, 6, 0, 8, 0, 6, 1, 0, 2, 5, 6, 8, 0, 7, 3, 3, 9, 4, 4, 5, 4, 4, 5, 6, 7, 4, 4, 1, 1, 5, 3, 9, 9, 6, 2, 9, 1, 6, 1, 7, 4, 0, 1, 9, 7, 8, 4, 4, 8, 1, 8, 7, 6, 8, 3, 3, 1, 3, 3, 5, 6, 2, 6, 4, 1, 9

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OFFSET

0,5

COMMENTS

The k-th Du Bois Reymond constant c_k is asymptotic to 2/(1+r^2)^(k/2), where r = A115365 = 4.4934094579090641753... is smallest positive root of the equation tan(r) = r. - Vaclav Kotesovec, Aug 20 2014

REFERENCES

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 237-239.

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..450

Eric Weisstein's World of Mathematics, du Bois-Reymond Constants.

EXAMPLE

0.00105610210733480920562199158210781176744608061...

CROSSREFS

Cf. A062546 (c2), A224196 (c3), A207528 (c4), A245333 (c6).

Cf. A115365, A079330, A088989.

Sequence in context: A200010 A105580 A047774 * A355186 A287610 A298171

Adjacent sequences: A243105 A243106 A243107 * A243109 A243110 A243111

KEYWORD

nonn,cons

AUTHOR

Vaclav Kotesovec, Aug 19 2014

STATUS

approved