A003250 The number m such that A001950(m) = A003231(A003234(n)).

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

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)

Extensions

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