A160509 Decimal expansion of 1/log(phi).

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

Offset: 1

Author

Hagen von Eitzen, May 16 2009

Keywords

• cons
• nonn

Examples

			2.07808692123502753760132260611779576774219226778328...
		

References

• Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 2.18.2, p. 159.
• D. E. Knuth, The Art of Computer Programming, Vol 1: Fundamental Algorithms, Addison-Wesley, 1968, Appendix B, Table 1.

Links

• J. D. Cloud, Problem E 1636, The American Mathematical Monthly, Vol. 70, No. 9 (1963), p. 1005; Number of Fibonacci Numbers Not Exceeding N, Solution to Problem E 1636 by William D. Jackson, ibid., Vol. 71, No. 7 (1964), p. 798.
• H. W. Gould, Non-Fibonacci Numbers, The Fibonacci Quarterly, Vol. 3, No. 3 (1965), pp. 177-183.
• Douglas Lind, Problem H-74, Advanced Problems and Solutions, The Fibonacci Quarterly, Vol. 3, No. 4 (1965), p. 300; A Better Problem Solution, Solution to Problem H-74, ibid., Vol. 4, No. 1 (1966), pp. 58-59.
• Index entries for transcendental numbers.

Crossrefs

Cf. A001622, A002390, A072649.

Programs

Mathematica

RealDigits[1/Log@GoldenRatio, 10, 111][[1]] (* Robert G. Wilson v, May 29 2009 *)

PARI

1/asinh(1/2) \\ Charles R Greathouse IV, Jan 04 2016

Formula

From Amiram Eldar, Feb 05 2022: (Start)

Equals 1/A002390.

Equals lim_{n->oo} A072649(n)/log(n) (Cloud, 1963). (End)

Extensions

More terms from Robert G. Wilson v, May 29 2009