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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
 1, 20, 63, 104 (list; graph; refs; listen; history; text; 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 A262486 A187156 Adjacent sequences:  A117429 A117430 A117431 * A117433 A117434 A117435 KEYWORD base,more,nonn AUTHOR Colin Rose, Mar 14 2006 STATUS approved

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