A245533 - OEIS

A245533

Decimal expansion of sigma_3, a Turán's Power Sum Constant.

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

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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