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  2. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    where f (2k−1) is the (2k − 1)th derivative of f and B 2k is the (2k)th Bernoulli number: B 2 = ⁠ 1 / 6 ⁠, B 4 = ⁠− + 1 / 30 ⁠, and so on. Setting f ( x ) = x , the first derivative of f is 1, and every other term vanishes, so [ 15 ]

  3. Hundred Fowls Problem - Wikipedia

    en.wikipedia.org/wiki/Hundred_Fowls_Problem

    z = 75 + (3/4)x. Since x, y and z all must be integers, the expression for y suggests that x must be a multiple of 4. Hence the general solution of the system of equations can be expressed using an integer parameter t as follows: [5] x = 4t y = 25 − 7t z = 75 + 3t. Since y should be a non-negative integer, the only possible values of t are 0 ...

  4. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    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.

  5. Unary numeral system - Wikipedia

    en.wikipedia.org/wiki/Unary_numeral_system

    The unary numeral system is the simplest numeral system to represent natural numbers: [1] to represent a number N, a symbol representing 1 is repeated N times. [2]In the unary system, the number 0 (zero) is represented by the empty string, that is, the absence of a symbol.

  6. Look-and-say sequence - Wikipedia

    en.wikipedia.org/wiki/Look-and-say_sequence

    21 is read off as "one 2, one 1" or 1211. 1211 is read off as "one 1, one 2, two 1s" or 111221. 111221 is read off as "three 1s, two 2s, one 1" or 312211. The look-and-say sequence was analyzed by John Conway [1] after he was introduced to it by one of his students at a party. [2] [3]

  7. 123 (number) - Wikipedia

    en.wikipedia.org/wiki/123_(number)

    123 is a Lucas number. [1] It is the eleventh member of the Mian–Chowla sequence. [2] Along with 6, 123 is one of only two positive integers that is simultaneously two more than a perfect square and two less than a perfect cube (123 = 11 2 + 2 = 5 3 - 2). [3] 123 is the first whole number containing numbers from 1 to 3.

  8. Per mille - Wikipedia

    en.wikipedia.org/wiki/Per_mille

    Major dictionaries do not agree on the spelling, [1] [2] [3] giving other options of per mil, [2] per mill, [1] [3] permil, [1] [4] permill, [1] permille. [ 5 ] [ 6 ] The word promille is the cognate in Dutch, German, Finnish and Swedish, and is sometimes seen as a loanword in English with the same meaning as per mille .

  9. Comparison of Indonesian and Standard Malay - Wikipedia

    en.wikipedia.org/wiki/Comparison_of_Indonesian...

    Tahun 1 (Satu) 7-8 Kelas 2 (Dua) Darjah 3 (Tiga) Tahun 2 (Dua) 8-9 Kelas 3 (Tiga) ... dengan tujuan agar setiap orang dan setiap badan dalam masyarakat dengan ...