User:Richard Turk

B.S Chemistry. Trinity College M.S. Chemical Engineering. U Notre Dame

Interest in Perrin Sequences. Website: [1]

Most Recent Perrin Chalkboard Chapters

53- The Perrin Sequence, Octagons, Ellipses and Phasors. January 10, 2024

52- The Octagonal Geometry of Sequences. September 24, 2023

51- New Sequences from the weber g Class Invariant. July 28, 2023

50- Integer Sequences and Orthogonal Polynomials. January 28, 2023

49- Q Transforms and the g Class Invariants II. March 16, 2023

48- Solving the Quintic Using Methods Available in the 19th Century. March 29, 2021

47- Cycle Index of the Symmetric Group and the Jacobi Polynomial. March 1, 2021

46- Equations for Ramanujan Class Invariants and the Ramanujan ladder. Sept 2, 2020

45-Elliptic Functions Bell polynomial and Applications. Aug 25, 2020

44- Algebra of the Perrin Sequence and its Convolutions and Sequence Entanglement. May 25, 2020

43-Bell Polynomials and Perrin and Padovan Sequences. April 2, 2020

42-intersequence Polynomials and Bell Polynomials. January 3, 2020

41-Convolution Recurrences by Inter Sequence Polynomials (CRISP) Nov 15, 2019

40-Discriminants and the Element Sequence Nov 2, 2019

39A An Algorithm for Higher Order Perrin Numbers Oct 4, 2019

39 Perrin Numbers, a Hypergeometric Function and Convolution Sequences Sept 13, 2019

38 Solving Linear Differential Equations with Intersequence Polynomials August 16, 2019

37 Higher Order Intersequence Polynomials July 29, 2019

36 Intersequence Polynomials and Convolution July 22, 2019

 The derivatives of the ISPs are Convolution Operators

35 Inter Sequence Polynomials and Fermat's Last Theorem July 10, 2019

34 Calculus of Integer Sequences July 6, 2019

33 Geometry of the Perrin and Padovan Sequences II June 21, 2019

  A general equation for finding the nth term of any cubic polynomial
  x3-cx2-bx-a combining modified Tribonacci sequences A081172(n+1),
  A081172(n) and A000073{n) and A000073(n-1)

32 The q octic Transform May 28, 2019

31 Elliptic Functions and the Ramanujan Octave May 16, 2019

30 Ramanujan Octave, Semitones, Chords and Harmonics Feb 28, 2019

29 The q octic Continued fraction and Ramanujan Class invariants Jan 26, 2019

28 Expressing a Rogers-Ramanujan q Continued Fraction in Radicals Dec 3, 2018

27 The Jacobi Polynomial Revisited Feb 23, 2018

26 The Laplace Operator_2 Jan 22, 2018

25 The Laplace Operator Oct 12, 2017

24 The Jacobi Polynomial, Laguerre Polynomial, and Delannoy number Sept 23, 2017

23 The Perrin Conjugate and the Laguerre Orthogonal Polynomial Aug 22, 2017

22 Factoring P2(x,n) over a Finite Field July 14, 2017

21 Deducing Polynomial Division Algorithms Apr 28, 2017

20 Integer Sequences, Discriminants and the Dedekind Eta Function Feb 8, 2017

19 Geometry of the Perrin and Padovan Sequences July 10, 2016