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 A003250 The number m such that A001950(m) = A003231(A003234(n)). (Formerly M3405) 1
 4, 11, 15, 22, 26, 29, 33, 40, 44, 51, 58, 62, 69, 73, 76, 80, 87, 91, 98, 102, 105, 109, 116, 120, 127, 134, 138, 145, 149, 152, 156, 163, 167, 174, 178, 181, 185, 192, 196, 199, 203, 210, 214, 221, 225, 228, 232, 239, 243, 250, 257, 261, 268, 272, 275, 279 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS This is the function named z in [Carlitz]. - Eric M. Schmidt, Aug 14 2014 REFERENCES N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386. FORMULA From Eric M. Schmidt, Aug 14 2014: (Start) a(n) = ceiling(1/phi^2 * A003231(A003234(n))), where phi is the golden ratio. a(n) = 5*k - 1 - A003231(k), where k = A003234(n). [cf. Theorems 4.1(ii) and 5.9(vii) in Carlitz.] Conjecture: a(n) = floor((3-phi)*A003234(n)). (End) CROSSREFS Sequence in context: A091436 A032822 A288316 * A190509 A022131 A091391 Adjacent sequences:  A003247 A003248 A003249 * A003251 A003252 A003253 KEYWORD nonn AUTHOR EXTENSIONS More terms and a definition from Eric M. Schmidt, Aug 14 2014 STATUS approved

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