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The Trinomial Transform Triangle
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László Németh

Institute of Mathematics

University of Sopron

Bajcsy Zs. u. 4

Sopron H9400

Hungary

**Abstract:**

The trinomial transform of a sequence is a generalization of the
well-known binomial transform, replacing binomial coefficients with
trinomial coefficients. We examine Pascal-like triangles under
the trinomial transform, focusing on ternary linear recurrent
sequences. We determine the sums and alternating sums of the elements
in columns, and we give some examples of the trinomial transform
triangle.

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(Concerned with sequences
A000012
A000045
A000073
A000244
A001477
A002378
A003462
A014983
A027907
A033999
A036290
A038608
A082761
A097861
A097893
A097894
A192806.)

Received January 9 2018; revised version received May 7 2018; May 23 2018; July 16 2018.
Published in *Journal of Integer Sequences*, August 23 2018.

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