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A003265 Not representable by truncated tribonacci sequence 2, 4, 7, 13, 24, 44, 81, ....
(Formerly M2430)
4

%I M2430 #27 Oct 21 2023 23:46:36

%S 1,3,5,8,10,12,14,16,18,21,23,25,27,29,32,34,36,38,40,42,45,47,49,52,

%T 54,56,58,60,62,65,67,69,71,73,76,78,80,82,84,86,89,91,93,95,97,99,

%U 102,104,106,108,110,113,115,117,119,121,123

%N Not representable by truncated tribonacci sequence 2, 4, 7, 13, 24, 44, 81, ....

%C The usual tribonacci representation of n writes n as a sum of tribonacci numbers 1, 2, 4, 7, 13, 24, ... (A000073) avoiding using three consecutive numbers (see A003726, A278038). But if we are not allowed to use 1, then some numbers cannot be represented, and such numbers are listed here. - _N. J. A. Sloane_, Oct 08 2018

%C Indices of odd terms of A003726. - _Charlie Neder_, Apr 25 2019

%C Numbers whose tribonacci representation ends in 1. Equivalently, the first column of the Trithoff (tribonacci) array, see A136175. - _Tanya Khovanova_ and PRIMES STEP Senior group, May 07 2022

%D A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 65.

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

%H Charlie Neder, <a href="/A003265/b003265.txt">Table of n, a(n) for n = 1..1000</a>

%H A. Brousseau, <a href="http://www.fq.math.ca/fibonacci-tables.html">Fibonacci and Related Number Theoretic Tables</a>, Fibonacci Association, San Jose, CA, 1972, p. 65.

%Y Cf. A000073, A003726, A136175, A278038.

%K nonn

%O 1,2

%A _N. J. A. Sloane_

%E Edited by _N. J. A. Sloane_, Oct 08 2018

%E a(47)-a(57) from _Charlie Neder_, Apr 25 2019

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Last modified April 25 10:34 EDT 2024. Contains 371967 sequences. (Running on oeis4.)