A117432 - OEIS

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A117432

Let n be an integer consisting of m digits. Then n is a Phithy number if the n-th m-tuple in the decimal digits of golden ratio phi is string n.

1, 20, 63, 104 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`The next such number is greater than 10^6.`
	LINKS	`Eric Weisstein's World of Mathematics, The Golden Ratio`
	EXAMPLE	`1 is a term because the first single digit in golden ratio phi is 1.` `Number 20 is a term because the 20th pair of digits in phi is 20.` `(cf. phi = 1.6180339887498948482045868343656381177203...)`
	MATHEMATICA	`PhithyNumbers[m_] := Module[{cc = m(10^m)+m, sol, aa}, sol = Partition[RealDigits[GoldenRatio, 10, cc] // First, m]; Do[aa = FromDigits[sol[[i]]]; If[aa==i, Print[{i, aa}]], {i, Length[sol]}]; ] Example: PhithyNumbers[3] produces all 3-digit Phithy numbers`
	CROSSREFS	`Cf. A001622, A109513, A109514, A117431.` `Sequence in context: A007248 A117431 A159504 * A033577 A187156 A074632` `Adjacent sequences: A117429 A117430 A117431 * A117433 A117434 A117435`
	KEYWORD	`base,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.