A117431 - OEIS

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A117431

String n is at position n in decimal digits of golden ratio (phi).

1, 20, 62, 9956 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`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)`
	LINKS	`Eric Weisstein's World of Mathematics, The Golden Ratio`
	EXAMPLE	`1 is a term because the first digit in golden ratio phi is 1. (cf. phi = 1.6180339887498948482045 ...)`
	MATHEMATICA	`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.`
	CROSSREFS	`Cf. A001622, A057679, A117432.` `Sequence in context: A105092 A112144 A007248 * A159504 A117432 A033577` `Adjacent sequences: A117428 A117429 A117430 * A117432 A117433 A117434`
	KEYWORD	`base,bref,more,nonn`
	AUTHOR	`Colin Rose (colin(AT)tri.org.au), Mar 14 2006`

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Last modified February 13 03:36 EST 2012. Contains 205435 sequences.