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Recurrence
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#	Item
461	UIUC Mock Putnam Exam[removed]Solutions Problem 1. Let a1 = 1, a2 = 1, a3 = −1, and for n > 3 define an by an = an−1 an−3 . Find a2006 . Solution. Computing the first 10 terms of the sequence {an }, we obtain Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2006-10-08 16:27:20 Fibonacci number Summation Mathematical induction Factorial Recurrence relation Generating function Binomial coefficient Formal power series Mathematics Combinatorics Integer sequences
462	Splines and unsorted knot sequences J¨org Peters Dedicated to Carl de Boor on his 75th birthday Abstract The definition of a B-spline is extended to unordered knot sequences. The added flexibility implies that the resul Add to Reading List Source URL: www.cise.ufl.edu Language: English - Date: 2013-06-15 08:53:00 Mathematics Mathematical analysis B-spline Spline Recurrence relation Continuous function I-spline Spline interpolation Interpolation Splines Computer graphics
463 $Continued fraction / Recurrence relation / Mathematics / Fibonacci number / Lucas sequence$	ACCELERATIONS OF GENERALIZED FIBONACCI SEQUENCES MARCO ABRATE, STEFANO BARBERO, UMBERTO CERRUTI, AND NADIR MURRU Abstract. In this paper we study how to accelerate the convergence of the ratios (xn ) of generalized Fibon Add to Reading List Source URL: alpha01.dm.unito.it Language: English - Date: 2011-04-22 11:09:30 Continued fraction Recurrence relation Mathematics Fibonacci number Lucas sequence
464	Seven Staggering Sequences N. J. A. Sloane Algorithms and Optimization Department AT&T Shannon Lab Florham Park, NJ 07932–0971 Email address: [removed] Add to Reading List Source URL: neilsloane.com Language: English - Date: 2012-01-02 21:20:56 Combinatorics Recurrence relations On-Line Encyclopedia of Integer Sequences Sequence Generating function Collatz conjecture Summation Factorial Binomial coefficient Mathematics Integer sequences Number theory
465	Counting the number of solutions of equations in groups by recurrences Umberto Cerruti Dipartimento di Matematica, Universit`a di Torino Via Carlo Alberto 10, 10123 Torino Italy email:[removed] Add to Reading List Source URL: alpha01.dm.unito.it Language: English - Date: 2007-06-04 11:59:12 Integer sequences Recurrence relation Theory of computation Polynomial Factorial Theorems and definitions in linear algebra Fundamental theorem of algebra Mathematics Algebra Combinatorics
466	The Gift Exchange Problem David Applegate and N. J. A. Sloane(a) , AT&T Shannon Labs, 180 Park Ave., Florham Park, NJ[removed], USA. (a) Add to Reading List Source URL: neilsloane.com Language: English - Date: 2012-01-02 21:20:57 Number theory Orthogonal polynomials Bessel polynomials Summation Factorial Recurrence relation Combinatory logic Stirling number Proof that π is irrational Mathematics Integer sequences Combinatorics
467	The Z-Transform Page 4 of 5 Discrete Time Systems Introduction In our discussion of _Sampling_ we introduced an analog system which was equivalent to a discrete-time system. Add to Reading List Source URL: doctord.dyndns.org Language: English - Date: 2009-08-22 12:30:25 Fourier analysis Digital signal processing Control theory Binary operations Image processing Convolution Linear system Z-transform Recurrence relation Mathematical analysis Mathematics Signal processing
468	Announcements Section 8.2 Section 8.2 — Sequences MATH114-005 George Mason University Add to Reading List Source URL: jzschroeder.com Language: English - Date: 2014-03-19 18:34:58 Recurrence relation Geometric progression Mathematics Mathematical series Sequence
469	The Toothpick Sequence and Other Sequences from Cellular Automata David Applegate, AT&T Shannon Labs, 180 Park Ave., Florham Park, NJ[removed], USA, Add to Reading List Source URL: neilsloane.com Language: English - Date: 2012-01-02 21:23:53 Toothpick Generating function Recurrence relation Elementary cellular automaton Cellular automata Algebra Cellular automaton
470	Journal of Statistical Physics, Vol. 34, Nos. 1/2, 1984 Functional Equations for Circle Homeomorphisms with Golden Ratio Rotation Number Oscar E. Lanford III 1 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-12-22 12:53:21 Ordinary differential equations Functional equations Operator theory Spectral theory Recurrence relation Continuous function Spectral theory of ordinary differential equations Sturm–Liouville theory Mathematical analysis Mathematics Calculus

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