A228990 Smallest missing number in first 10^n digits after the decimal point in expansion of golden ratio phi = (1+sqrt(5))/2.

2, 10, 100, 1001, 10002, 49107, 119904, 1015528

Offset

1,1

Links

Table of n, a(n) for n=1..8.

Example

a(1) = 2 because number 2 is missing in first 10^1 = 10 digits after decimal point in the decimal expansion of the golden ratio, that is, 1.6180339887.

Mathematica

Do[With[{r = ToString[FromDigits[Rest[RealDigits[GoldenRatio, 10, 10^k][[1]]]]]}, Do[If[StringPosition[r, ToString[n]] == {}, Print[n]; k = k + 1; Break[]], {n, 0, 10000000}]], {k, 1, 7}]

Crossrefs

Cf. A001622, A228988, A228989.

Sequence in context: A355440 A248615 A276388 * A277468 A099826 A338193

Adjacent sequences: A228987 A228988 A228989 * A228991 A228992 A228993

Keyword

nonn,base,more

Author

Shyam Sunder Gupta, Sep 10 2013

Extensions

Name improved by Alex Ratushnyak, Sep 22 2013

a(8) from Jinyuan Wang, Mar 27 2020

Status

approved