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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

Table of n, a(n) for n=1..56.

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

N. J. A. Sloane.

EXTENSIONS

More terms and a definition from Eric M. Schmidt, Aug 14 2014

STATUS

approved

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Last modified October 17 10:43 EDT 2017. Contains 293469 sequences.