Anyone please tell me what is catalan series???

Answer 1

they are combinatorial mathematics, the Catalan numbers form a sequence of natural numbersthat occur in various counting problems, often involving recursively-defined objects. They are named after the Belgian mathematicianEugène Charles Catalan (1814–1894).

Using zero-based numbering, the nth Catalan number is given directly in terms of binomial coefficients by

The first Catalan numbers for n = 0, 1, 2, 3, … are

1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, 16796, 58786, 208012, 742900, 2674440, 9694845, 35357670, 129644790, 477638700, 1767263190, 6564120420, 24466267020, 91482563640, 343059613650, 1289904147324, 4861946401452, … (sequence A000108 in the OEIS).

Answer 2

sir..how is the series increasing...i mean how to find out a next term....as i got this question in my school exam.