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Binomial coefficient
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241	Partitions in the quintillions or Billions of congruences Fredrik Johansson November 2011 Add to Reading List Source URL: fredrikj.net Language: English - Date: 2013-04-03 06:22:12 Combinatorics Factorial Bernoulli number Binomial coefficient Exponentiation Pi Partition Prime number Logarithm Mathematics Integer sequences Number theory
242	2011 U OF I MOCK PUTNAM CONTEST Solutions 1. [Variation of A2, Putnam[removed]The sequence of digits[removed][removed] ... is obtained by writing out the natural numbers in order. Let f (n) denote the posit Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-05 10:16:18 Mathematical series Binomial coefficient Combinatorics Natural logarithm Exponentiation Pi Wallis product Natural logarithm of 2 Mathematics Mathematical analysis Logarithms
243	2011 U OF I FRESHMAN MATH CONTEST Solutions 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 digi Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2011-10-01 17:22:28 Combinatorics Number theory Mathematical series Complex analysis Binomial coefficient Factorial Pi Summation Proof that π is irrational Mathematics Mathematical analysis Integer sequences
244	Majority Algorithm Solution Brian Rothstein October 22, 1999 1 Add to Reading List Source URL: www.ugcs.caltech.edu Language: English - Date: 2007-09-20 19:32:04 Binomial coefficient Randomized algorithm Mathematics Combinatorics Automata theory
245	On the log-concavity of the degenerate Bernoulli numbers Florian Luca Instituto de Matem´aticas Universidad Nacional Aut´onoma de M´exico C.P[removed], Morelia, Michoac´an, M´exico Add to Reading List Source URL: youngp.people.cofc.edu Language: English - Date: 2011-10-07 14:23:41 Spectral theory Number theory Operator theory Bernoulli number Topology Binomial coefficient Λ-ring Sturm–Liouville theory Mathematics Mathematical analysis Integer sequences
246	UIUC UNDERGRADUATE MATH CONTEST April 8, [removed]Determine, without numerical calculations, which of the two numbers √ Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2006-04-08 17:58:20 Ring theory Elementary mathematics Combinatorics Elementary number theory Integer Liouville number Binomial coefficient Mathematics Abstract algebra Algebraic number theory
247	2014 UI UNDERGRADUATE MATH CONTEST Solutions 1. (a) Does there exist a multiple of 2013 whose decimal representation ends in the digits 2014? Explain! (b) Does there exist a power of 2 whose decimal representation ends i Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2014-02-15 21:13:47 Integer sequences Number theory Exponentials Binomial coefficient Factorial Summation Exponential function Proof that π is irrational Basel problem Mathematics Mathematical analysis Combinatorics
248	UIUC UNDERGRADUATE MATH CONTEST April 12, 2003 Solutions 1. Let Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2003-04-12 16:50:35 Integer sequences Number theory Factorial Proof that π is irrational Binomial coefficient Mathematics Mathematical analysis Combinatorics
249	U OF I UNDERGRADUATE MATH CONTEST MARCH 7, 2009 Solutions − denote the integer obtained by reversing the 1. Given a nonnegative integer n, let ← n Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2009-03-07 17:49:43 Combinatorics Exponentials Factorial Exponentiation Binomial coefficient Proof that π is irrational Mathematics Integer sequences Number theory
250	U OF I UNDERGRADUATE MATH CONTEST MARCH 7, 2009 − denote the integer obtained by reversing the 1. Given a nonnegative integer n, let ← n ←− Add to Reading List Source URL: www.math.illinois.edu Language: English - Date: 2009-03-07 17:49:25 Arithmetic Mathematical notation Summation Combinatorics Binomial coefficient Fermat number Mathematics Number theory Integer sequences

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