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Binomial number
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121	Proceedings of the Edinburgh Mathematical Society[removed], 271–289 DOI:[removed]S0013091510001355 ON NUMBERS n DIVIDING THE nTH TERM OF A LINEAR RECURRENCE 1 Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-05-10 10:36:06 Modular arithmetic Arithmetic function Prime-counting function Exponentiation Fibonacci number Binomial coefficient Proof that π is irrational Mathematics Number theory Prime numbers
122	3 Higher Calculus of Binomial Identity The simplest one of Binomial Identity is given as follows. n (1+ x)n = ΣnＣ s x s Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 23:38:48 Summation Combinatorics Integer sequences Number theory Permutation Normal distribution Mathematics Arithmetic Mathematical notation
123	The normal approximation to the hypergeometric distribution Mark A. Pinsky, Northwestern University 1 Introduction Add to Reading List Source URL: www.dartmouth.edu Language: English - Date: 2003-11-11 13:38:55 Combinatorics Central limit theorem De Moivre–Laplace theorem Mathematical series Number theory Binomial coefficient Taylor series Factorial Binomial distribution Mathematics Mathematical analysis Integer sequences
124	Notes on counting Peter J. Cameron School of Mathematical Sciences Queen Mary, University of London Mile End Road London E1 4NS Add to Reading List Source URL: www.maths.qmul.ac.uk Language: English - Date: 2003-04-10 07:05:42 Number theory Enumerative combinatorics Permutations Generating function Binomial coefficient Derangement Factorial Inclusion–exclusion principle Cycle index Mathematics Combinatorics Integer sequences
125	07 New Formula for the Sum of Powers 7.1 Expression with binomial coefficients of a factorial Formula[removed]S. Ruiz ) When n Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 23:38:56 Binomial coefficient Eulerian number Summation Sigma-algebra Permutation Mathematics Combinatorics Integer sequences
126	PDF Document Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-07 11:45:57 Modular arithmetic Algebraic number theory Quadratic residue Ring Ring theory Binomial coefficient Euclidean algorithm Mathematics Abstract algebra Number theory
127	Bernoulli numbers and generalized factorial sums Paul Thomas Young Department of Mathematics, College of Charleston Charleston, SC[removed]removed] Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2010-06-25 15:31:33 Combinatorics Modular arithmetic Bernoulli number Topology Bernoulli polynomials Binomial coefficient P-adic number Summation Factorial Mathematics Number theory Integer sequences
128	2011 U OF I FRESHMAN MATH CONTEST 1. Let x = 0.[removed][removed]be the number whose decimal expansion consists of the sequence of natural numbers written next to each other. (a) Determine the 2011th digit after th Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-02 10:35:20 Arithmetic Least common multiple Mathematical proof Pi Pythagorean triple Binomial coefficient Mathematics Elementary arithmetic Number theory
129	U OF I MOCK PUTNAM EXAM SEPT. 29, [removed]Suppose P (x) is a polynomial with integer coefficients such that none of the values P (1), . . . , P[removed]is divisible by[removed]Prove that P (n) 6= 0 for all integers n. 2. Fi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2009-09-30 19:05:13 Algebraic number theory Integer sequences Elementary number theory Integer Ring theory Number Square-free integer Binomial coefficient Mathematics Abstract algebra Number theory
130	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

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