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A245533 Decimal expansion of sigma_3, a Turán's Power Sum Constant. 0
8, 2, 4, 7, 8, 3, 0, 3, 0, 9, 1, 4, 6, 2, 2, 4, 9, 6, 5, 7, 1, 9, 3, 7, 6, 6, 0, 1, 9, 9, 3, 2, 8, 3, 1, 8, 6, 9, 3, 7, 8, 9, 6, 1, 3, 3, 3, 0, 8, 7, 2, 0, 6, 7, 1, 0, 8, 4, 6, 4, 7, 5, 8, 2, 7, 0, 7, 5, 1, 9, 3, 5, 0, 7, 2, 8, 5, 5, 4, 4, 2, 7, 8, 9, 7, 1, 7, 8, 9, 4, 5, 7, 1, 4, 5, 9, 1, 3, 8, 9, 9, 1, 4, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 3.16 Turán's Power Sum Constants, p. 246.

LINKS

Table of n, a(n) for n=0..103.

FORMULA

Smallest positive root of the minimal polynomial given in the Mathematica code.

EXAMPLE

0.82478303091462249657193766019932831869378961333087206710846475827...

MATHEMATICA

sigma3 = Root[x^30 - 81*x^28 + 2613*x^26 - 43629*x^24 + 417429*x^22 - 2450985*x^20 + 9516137*x^18 - 26203659*x^16 + 53016480 x^14 - 83714418*x^12 + 112601340*x^10 - 140002992*x^8 + 156204288*x^6 - 124361568*x^4 + 55427328*x^2 - 10077696, x, 6]; RealDigits[sigma3, 10, 104] // First

CROSSREFS

Cf. A094883.

Sequence in context: A169847 A285299 A073440 * A021552 A245279 A321071

Adjacent sequences:  A245530 A245531 A245532 * A245534 A245535 A245536

KEYWORD

nonn,cons

AUTHOR

Jean-François Alcover, Jul 25 2014

STATUS

approved

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Last modified May 20 12:58 EDT 2022. Contains 353871 sequences. (Running on oeis4.)