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Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...
Number ones. The Bee Gees scored the most number-one hits (9 songs) and had the longest cumulative run atop the Billboard Hot 100 chart (27 weeks) during the 1970s. Rod Stewart remained at the top of the Billboard Hot 100 chart for 17 weeks during the 1970s. Elton John amassed the second-most number-one hits on the Hot 100 chart during the ...
1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series 1 2 + 1 4 + 1 8 + 1 16 + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...
Infobox references. 1,1,1,2,2,3,3-Heptachloropropane is a compound of chlorine, hydrogen, and carbon. [1] Its linear formula is C 2 Cl 5 CHCl 2. [2] Heptachloropropane is made in a modified Friedel-Crafts or Prins reaction from chloroform and tetrachloroethylene with catalytic aluminum chloride. Dehydrochlorination with a base gives ...
[1] [6] [7] Psychologist Julie Schwartz Gottman has cast doubt on the concept of a "primary" love language and the usefulness of insisting on showing or receiving love in only one way. [8] A 2006 confirmatory factor analysis study by Nicole Egbert and Denise Polk suggests that the five love languages may have some degree of psychometric validity.
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent . Powers of two with non-negative exponents are integers: 20 = 1, 21 = 2, and 2n is two multiplied by itself n times. [ 1][ 2] The first ten powers of 2 for non-negative values of n are:
3 p − 1 ≡ 1 (mod p 2): 11, 1006003 (OEIS: A014127) [17] [18] [19] 4 p − 1 ≡ 1 (mod p 2): 1093, 3511 5 p − 1 ≡ 1 (mod p 2): 2, 20771, 40487, 53471161, 1645333507, 6692367337, 188748146801 (OEIS: A123692) 6 p − 1 ≡ 1 (mod p 2): 66161, 534851, 3152573 (OEIS: A212583) 7 p − 1 ≡ 1 (mod p 2): 5, 491531 (OEIS: A123693) 8 p − 1 ...