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

Offset: 0

Author

Jean-François Alcover, Jul 25 2014

Keywords

• nonn
• cons

Examples

			0.82478303091462249657193766019932831869378961333087206710846475827...
		

References

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

Crossrefs

Cf. A094883.

Programs

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

Formula

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