cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A353193 The row numbers of the Trithoff (tribonacci) array that don't correspond to difference sequences of other rows of the Trithoff array.

This page as a plain text file.
%I A353193 #10 Jun 22 2022 20:27:42
%S A353193 1,5,6,8,9,10,13,14,15,18,22,23,24,27,31,32,36,37,39,40,41,44,48,49,
%T A353193 53,54,56,57,58,62,63,65,66,67,70,71,72,75,79,80,84,85,87,88,89,93,94,
%U A353193 96,97,98,101,102,103,106,110,111,113,114,115,118,119,120,123,127,128,129,132,136,137,141,142,144
%N A353193 The row numbers of the Trithoff (tribonacci) array that don't correspond to difference sequences of other rows of the Trithoff array.
%C A353193 All positive tribonacci-like sequences are in the Trithoff array.
%C A353193 Every tribonacci-like sequence s is a difference sequence of another tribonacci-like sequence t, where t is uniquely defined. If s is an integer sequence then, t doesn't have to be an integer sequence. If t is an integer sequence, then the row number corresponding to sequence s is not in this sequence.
%C A353193 These are the Trithoff array rows that repeat a pattern: even, even, odd, odd.
%e A353193 The first row of the Trithoff array is the sequence of tribonacci numbers A000073. Its differences form sequence A001590, which is the second row of the Trithoff array. Thus, 2 is not in this sequence.
%e A353193 The tribonacci sequence, the first row of the Trithoff array, is the difference sequence of the tribonacci-like sequence A000213 divided by 2. The result is not an integer sequence. Thus, 1 is in this sequence.
%Y A353193 Complement of A353178.
%Y A353193 Cf. A000073, A000213, A001590, A136175.
%K A353193 nonn
%O A353193 1,2
%A A353193 _Tanya Khovanova_ and PRIMES STEP Senior group, Apr 29 2022