A003248 -id:A003248 - cp's OEIS frontend

A003247 Complement of A003248.

1, 2, 3, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 36, 37, 38, 40, 41, 42, 43, 44, 46, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 72, 73, 74, 75, 76, 77

Offset: 1

N. J. A. Sloane

nonn

Numbers k such that A003234(k) equals the image of some x by A000201(A001950()) (see 1.20 p. 339 of Carlitz link). - Michel Marcus, Feb 02 2014

This is the function named t in [Carlitz]. - Eric M. Schmidt, Aug 14 2014

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

L. Carlitz, R. Scoville and T. Vaughan, Some arithmetic functions related to Fibonacci numbers, Fib. Quart., 11 (1973), 337-386.
A. M. Odlyzko, Letters to N. J. A. Sloane Feb 1974.

A000201(n) = floor(n*(sqrt(5)+1)/2);
A001950(n) = floor(n*(sqrt(5)+3)/2);
A003231(n) = floor(n*(sqrt(5)+5)/2);
is003234(n) = A003231(A001950(n)) == A001950(A003231(n)) - 1;
lista(nn) = {vab = vector(nn, i, A000201(A001950(i))); v003234 = select(n->is003234(n), vector(nn, i, i)); for (n=1, #v003234, if (vecsearch(vab, v003234[n]), print1(n, ", ")););} \\ Michel Marcus, Feb 02 2014

More terms from Michel Marcus, Feb 02 2014

New definition from Eric M. Schmidt, Aug 14 2014

A247433 a(n) = A247421(A003248(n)).

Original entry on oeis.org

11, 30, 42, 60, 72, 79, 91, 110, 122, 140, 159, 171, 189, 201, 208, 220, 239, 251, 269, 281, 288, 300, 318, 330, 348, 367, 379, 397, 409, 416, 428, 447, 459, 477, 489, 496, 508, 526, 538, 545, 557, 576, 588, 606, 618, 625, 637, 656, 668, 686, 705, 717, 735

Offset: 1

Eric M. Schmidt, Sep 17 2014

nonn

This function is xt' in the notation of [Carlitz] and is given in Table 2. (See also Thm. 7.8.)

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

Cf. A003248, A247421.

cp's OEIS Frontend

A003247 Complement of A003248.

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