A249601 Decimal expansion of 1/phi + 1/phi^3 + 1/phi^5 + 1/phi^7, where phi is the Golden Ratio.

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

Offset: 0

Author

N. J. A. Sloane, Nov 02 2014

Keywords

• nonn
• cons

Comments

1/phi + 1/phi^3 + 1/phi^5 + 1/phi^7 + 1/phi^9 + ... = 1.

References

• David Snook, Email, Mar 31 2009

Crossrefs

Cf. A094214, A249600.

Programs

Maple

3*(7*sqrt(5)-15)/2 ; evalf(%) ; # R. J. Mathar, Nov 14 2014

Mathematica

RealDigits[Total[1/GoldenRatio^{1,3,5,7}],10,120][[1]] (* Harvey P. Dale, Apr 17 2023 *)