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%I #12 Jun 22 2022 20:27:29
%S 2,3,4,7,11,12,16,17,19,20,21,25,26,28,29,30,33,34,35,38,42,43,45,46,
%T 47,50,51,52,55,59,60,61,64,68,69,73,74,76,77,78,81,82,83,86,90,91,92,
%U 95,99,100,104,105,107,108,109,112,116,117,121,122,124,125,126,130,131
%N The row numbers of the Trithoff (tribonacci) array that correspond to difference sequences of other rows of the Trithoff array.
%C All positive tribonacci-like sequences are in the Trithoff array.
%C 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 in this sequence.
%C These are the Trithoff array rows that are all odd, or all even, or alternate between even and odd.
%e 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 in this sequence.
%e 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 not in this sequence.
%Y Complement of A353193.
%Y Cf. A000073, A000213, A001590, A136175.
%K nonn
%O 1,1
%A _Tanya Khovanova_ and PRIMES STEP Senior group, Apr 28 2022
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