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It has been shown in [1] that these cubical nerves are sequences of sets together with face maps, degeneracies, connections and compositions, subject to various identities, and that
These denominators generate an elliptic divisibility sequence, a genus-1 analogue of more classical sequences such as Fibonacci or Mersenne, and the hypothesis, which they
We will show in section 2 that the matrix transformation corresponding to the regular convolution method generated by an independent and identically distributed sequence of
This should by no means be surprising since m represents the length of sequence, and as we increase the maximum norm (largest piece size) we will eventually get all sequences of
The Stern sequence has recently arisen as well in the discussion of 2-regular sequences by Allouche and Shallit [ 1 ] and the Tower of Hanoi graph [ 10 ] by Hinz,
Furthermore, the operator (1) generalizes three operators introduced by Spivey and Steil [8] in order to relate together several numbers of sequences. Spivey and Steil [8] have
Woan, A Combinatorial proof of a recursive relation of the Motzkin sequence by Lattice Paths Fibonacci Quart.. Published in Journal of Integer Sequences , February
In dimensions 0 and 1 the only difference is that Gray does not allow empty sequences, nor the corresponding relations involving identities. These relations, except where that
