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

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

1,2

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.

Sequence in context: A096985 A206909 A138829 * A360394 A193714 A184584

Adjacent sequences: A003262 A003263 A003264 * A003266 A003267 A003268

Keyword

nonn

Author

N. J. A. Sloane

Extensions

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

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

Status

approved