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A003234 Numbers n such that A003231(A001950(n)) = A001950(A003231(n)) - 1.
(Formerly M2714)
13
3, 8, 11, 16, 19, 21, 24, 29, 32, 37, 42, 45, 50, 53, 55, 58, 63, 66, 71, 74, 76, 79, 84, 87, 92, 97, 100, 105, 108, 110, 113, 118, 121, 126, 129, 131, 134, 139, 142, 144, 147, 152, 155, 160, 163, 165, 168, 173, 176, 181, 186, 189, 194, 197, 199, 202, 207 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See 3.3 p.344 in Carlitz link. - Michel Marcus, Feb 02 2014

This is the function named s 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..57.

L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386.

MATHEMATICA

a3[n_] := Floor[n (Sqrt[5] + 3)/2];

a5[n_] := Floor[n (Sqrt[5] + 5)/2];

Select[Range[300], a5[a3[#]] == a3[a5[#]]-1&] (* Jean-Fran├žois Alcover, Jul 31 2018 *)

PROG

(PARI) A001950(n) = floor(n*(sqrt(5)+3)/2);

A003231(n) = floor(n*(sqrt(5)+5)/2);

isok(n) = A003231(A001950(n)) == A001950(A003231(n)) - 1; \\ Michel Marcus, Feb 02 2014

(Haskell)

a003234 n = a003234_list !! (n-1)

a003234_list = [x | x <- [1..],

                    a003231 (a001950 x) == a001950 (a003231 x) - 1]

-- Reinhard Zumkeller, Oct 03 2014

CROSSREFS

Cf. A001950, A003231.

Sequence in context: A145837 A111132 A188473 * A047470 A184401 A190251

Adjacent sequences:  A003231 A003232 A003233 * A003235 A003236 A003237

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Michel Marcus, Feb 02 2014

Definition from Michel Marcus moved from comment to name by Eric M. Schmidt, Aug 17 2014

STATUS

approved

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Last modified November 18 12:16 EST 2019. Contains 329261 sequences. (Running on oeis4.)