On -Pell numbers which are sum of two Narayana’s cows numbers
Kouèssi Norbert Adédji, Mohamadou Bachabi, Alain Togbé (2025)
Mathematica Bohemica
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For any positive integer , let be the -generalized Pell sequence which starts with ( terms) with the linear recurrence Let be Narayana’s sequence given by The purpose of this paper is to determine all -Pell numbers which are sums of two Narayana’s numbers. More precisely, we study the Diophantine equation in nonnegative integers , , and .