0,2

The next such number is greater than 10^7. Not only does number 20 occur at the 20th digit, but it occurs again as the 20th pair of digits (cf. A117432)

Eric Weisstein's World of Mathematics, The Golden Ratio

1 is a term because the first digit in golden ratio phi is 1. (cf. phi = 1.6180339887498948482045 ...)

StringFinder[m_] := Module[{cc = 10^m + m, sol, aa}, sol = Partition[RealDigits[(1+Sqrt[5])/2, 10, cc] // First, m, 1]; Do[aa = FromDigits[sol[[i]]]; If[aa==i, Print[{i, aa}]], {i, Length[sol]}]; ] Example: StringFinder[2] produces all 2-digit members of the sequence.

Cf. A001622, A057679, A117432.

Adjacent sequences: A117428 A117429 A117430 this_sequence A117432 A117433 A117434

Sequence in context: A105092 A112144 A007248 this_sequence A117432 A033577 A074632

base,bref,more,nonn

Colin Rose (colin(AT)tri.org.au), Mar 14 2006