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 A353178 The row numbers of the Trithoff (tribonacci) array that correspond to difference sequences of other rows of the Trithoff array. 2
 2, 3, 4, 7, 11, 12, 16, 17, 19, 20, 21, 25, 26, 28, 29, 30, 33, 34, 35, 38, 42, 43, 45, 46, 47, 50, 51, 52, 55, 59, 60, 61, 64, 68, 69, 73, 74, 76, 77, 78, 81, 82, 83, 86, 90, 91, 92, 95, 99, 100, 104, 105, 107, 108, 109, 112, 116, 117, 121, 122, 124, 125, 126, 130, 131 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All positive tribonacci-like sequences are in the Trithoff array. 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. These are the Trithoff array rows that are all odd, or all even, or alternate between even and odd. LINKS Table of n, a(n) for n=1..65. EXAMPLE 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. 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. CROSSREFS Complement of A353193. Cf. A000073, A000213, A001590, A136175. Sequence in context: A296446 A226387 A102282 * A232543 A279071 A171027 Adjacent sequences: A353175 A353176 A353177 * A353179 A353180 A353181 KEYWORD nonn AUTHOR Tanya Khovanova and PRIMES STEP Senior group, Apr 28 2022 STATUS approved

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Last modified April 20 03:59 EDT 2024. Contains 371798 sequences. (Running on oeis4.)