Conducted by BatStateU
, Started on 2013 -
Completed on 2014
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This study established some recurrence relations and exponential generating functions of the
sequence of factoriangular numbers. A factoriangular number is defined as a sum of corresponding factorial
and triangular number. The proofs utilize algebraic manipulations with some known results from calculus,
particularly on power series and Maclaurin’s series. The recurrence relations were found by manipulating
the formula defining a factoringular number while the ascertained exponential generating functions were in
the closed form