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

1, 3, 5, 8, 10, 12, 14, 16, 18, 21, 23, 25, 27, 29, 32, 34, 36, 38, 40, 42, 45, 47, 49, 52, 54, 56, 58, 60, 62, 65, 67, 69, 71, 73, 76, 78, 80, 82, 84, 86, 89, 91, 93, 95, 97, 99, 102, 104, 106, 108, 110, 113, 115, 117, 119, 121, 123

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

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

Indices of odd terms of A003726. - Charlie Neder, Apr 25 2019

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

References

• A. Brousseau, Fibonacci and Related Number Theoretic Tables. Fibonacci Association, San Jose, CA, 1972, p. 65.
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• Charlie Neder, Table of n, a(n) for n = 1..1000
• A. Brousseau, Fibonacci and Related Number Theoretic Tables, Fibonacci Association, San Jose, CA, 1972, p. 65.

Crossrefs

Cf. A000073, A003726, A136175, A278038.

Extensions

Edited by N. J. A. Sloane, Oct 08 2018

a(47)-a(57) from Charlie Neder, Apr 25 2019