A377644 Decimal expansion of Li_3(2 - phi).

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

Offset: 0

Author

Stefano Spezia, Nov 03 2024

Keywords

• nonn
• cons

Examples

			0.402683962952109021159959448182511142219733807379...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 44.

Links

• Michael I. Shamos, A catalog of the real numbers, (2007). See p. 397.

Crossrefs

Cf. A001622, A002117, A013661, A094214, A132338, A202543.

Programs

Mathematica

RealDigits[PolyLog[3,2-GoldenRatio],10,100][[1]]

Formula

Equals 4*zeta(3)/5 + Pi^2*log(A132338)/15 - log(A132338)^3/12 (see Finch).

Equals Li_3(A094214^2) = 4*zeta(3)/5 + 2*zeta(2)*log(A132338)/5 - log(A132338)^3/12 (see Shamos).