In this paper, we study the symmetric and the generating functions for odd and even terms of the second-order linear recurrence sequences. we introduce a operator in order to derive a new family of ...
Très récemment, la fonction génératrice A(z) de la suite (an)n≥0 de Stern, définie par a₀ ≔ 0, a₁ ≔ 1, et a2n ≔ an, a2n+1 ≔ an + an+1 pour tout entier n > 0, a été considerée du point de vue ...
A partition of a positive integer n is a non-increasing sequence of positive integers whose sum is n, the partitions of 3 being (3), (2,1) and (1,1,1). A partition identity is a theorem asserting that ...
For many laboratories in the developing world, lack of funding and practical experience are hurdles to generating their own DNA sequence data. However, the financial, technical, and logistical burden ...
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