Summations in Bernoulli's Triangles via Generating Functions.
Summations in Bernoulli's Triangles via Generating Functions.
Summary: We revisit sums along straight lines of indices in Bernoulli triangles, and emphasize the use of generating functions as the appropriate tool. This leads to more direct and extended results, compared with a recent paper in this journal.
- Stellenbosch University South Africa
Generating functions, Triangles, generating function, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Bernoulli triangle, Bernouilli numbers, 530, 510, Combinatorial identities, bijective combinatorics, diagonal of a double power series
Generating functions, Triangles, generating function, Exact enumeration problems, generating functions, Fibonacci and Lucas numbers and polynomials and generalizations, Bernoulli triangle, Bernouilli numbers, 530, 510, Combinatorial identities, bijective combinatorics, diagonal of a double power series
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