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Open Energy Information System
Published in Barney L. Capehart, Lynne C. Capehart, Paul J. Allen, David C. Green, Web Based Energy Information and Control Systems:, 2021
The OEIS monitors the database to assure proper operation. In the past our billing department would be unaware of a meter failure for up to 2 months. An intermittent meter failure would take much longer to be discovered. Now, when the monitor detects that a meter is not responding to a request, the OEIS can send an email message to the meter maintenance personnel within minutes of a meter failure. Repairs can begin nearly immediately.
Fibonacci and Lucas Riordan arrays and construction of pseudo-involutions
Published in Applicable Analysis, 2021
Candice Marshall, Asamoah Nkwanta
The A-numbers given throughout this paper are the absolute ID numbers or catalog numbers used for sequences in the On-Line Encyclopedia of Integer Sequences (OEIS) database [1]. In this paper, we present examples of Riordan and stochastic Riordan arrays that have connections to the Fibonacci numbers A000045 [1] and modified Lucas numbers A000204 [1]. In particular, we present some pseudo-involutions in the Riordan group; the first array that is a pseudo-involution includes the Fibonacci numbers in the first column, the second has the modified Lucas numbers in the first column, and the third contains the convolved Fibonacci numbers A001629 [1] in the first column. The constructions start with a certain generating function . We also present a theorem for constructing Riordan group pseudo-involutions starting with a certain generating function whose additive inverse has compositional order 2. The theorem is then used to construct more pseudo-involutions in the Riordan group. Other constructions of pseudo-involutions in the Riordan group can be found in [2–5].