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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.
In 2008, Crossway published the ESV Study Bible, which would go on to sell more than 1 million copies. [29] In 2009, the Evangelical Christian Publishers Association named the ESV Study Bible as Christian Book of the Year. This was the first time in the award's 30-year history to be given to a study Bible. [30]
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 ...
The Hofstadter Figure-Figure (R and S) sequences are a pair of complementary integer sequences defined as follows [ 1][ 2] with the sequence defined as a strictly increasing series of positive integers not present in . The first few terms of these sequences are. R: 1, 3, 7, 12, 18, 26, 35, 45, 56, 69, 83, 98, 114, 131, 150, 170, 191, 213, 236 ...
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2,752. ISBN. 1-4335-0241-0. The ESV Study Bible (abbreviated as the ESVSB[ 1][ 2]) is a study Bible published by Crossway. Using the text of the English Standard Version, the ESVSB features study notes from a perspective of "classic evangelical orthodoxy, in the historic stream of the Reformation ." [ 3]
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