A003250 - OEIS

A003250

The number m such that A001950(m) = A003231(A003234(n)).
(Formerly M3405)

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

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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: A032822 A344258 A288316 * A320494 A190509 A022131

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