Catalan Transform of
k
-Balancing Sequences
2021 ◽
Vol 2021
◽
pp. 1-6
Keyword(s):
In this work, the Catalan transformation (CT) of k -balancing sequences, B k , n n ≥ 0 , is introduced. Furthermore, the obtained Catalan transformation C B k , n n ≥ 0 was shown as the product of lower triangular matrices called Catalan matrices and the matrix of k -balancing sequences, B k , n n ≥ 0 , which is an n × 1 matrix. Apart from that, the Hankel transform is applied further to calculate the determinant of the matrices formed from C B k , n n ≥ 0 .
1994 ◽
Vol 09
(29)
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pp. 2733-2743
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2021 ◽
Vol 27
(4)
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pp. 207-218
2013 ◽
Vol 62
(1)
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pp. 126-138
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1991 ◽
Vol 143
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pp. 145-169
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