On the number of permutations arising from a problem in cell-biology.
We examine the -Pell sequences and their applications to weighted partition theorems and values of -functions. We also put them into perspective with sums of tails. It is shown that there is a deeper structure between two-variable generalizations of Rogers-Ramanujan identities and sums of tails, by offering examples of an operator equation considered in a paper published by the present author. The paper starts with the classical example offered by Ramanujan and studied by previous authors noted...