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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 ...
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.
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 ...
The idea becomes clearer by considering the general series 1 − 2x + 3x 2 − 4x 3 + 5x 4 − 6x 5 + &c. that arises while expanding the expression 1 ⁄ (1+x) 2, which this series is indeed equal to after we set x = 1.
1,1,1,2,3,3,3-Heptafluoropropane, also called heptafluoropropane, HFC-227ea ( ISO name), HFC-227 or FM-200, as well as apaflurane ( INN ), is a colourless, odourless gaseous halocarbon commonly used as a gaseous fire suppression agent.
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 ...
This is a list of emoticons or textual portrayals of a writer's moods or facial expressions in the form of icons. Originally, these icons consisted of ASCII art, and later, Shift JIS art and Unicode art. In recent times, graphical icons, both static and animated, have joined the traditional text-based emoticons; these are commonly known as ...
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 ...