Question

Good number $n=a_1+a_2+a_3+\cdots+a_k$ with $ {1\over {a_1}} + {1\over {a_2}} + {1\over {a_3}} + \cdots+{1\over{a_k}}=1$

score 86 · Answer 1 · 2026-04-16 06:28:17

86

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Good number $n=a_1+a_2+a_3+\cdots+a_k$ with $ {1\over {a_1}} + {1\over {a_2}} + {1\over {a_3}} + \cdots+{1\over{a_k}}=1$

Published on 16 Apr 2026 - 6:28

score 62 · Answer 2 · 2026-03-29 17:27:10

62

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Stuck: To show that the divide and conquer relation represent Merge Sort

Published on 29 Mar 2026 - 17:27

score 133 · Answer 3 · 2026-04-18 16:00:37

133

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If $s(1)=1$ and $s(n)=s(n-1)+\text{lcm}[n,s(n-1)]-(-1)^n$ then $\lim\limits_{n\to \infty}\frac{s(n)}{(n+1)!}=\frac{1}{e}$

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score 709 · Answer 4 · 2026-04-14 15:39:43

709

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score 60 · Answer 5 · 2026-04-14 15:56:30

60

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score 4k · Answer 6 · 2026-04-17 15:49:15

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score 313 · Answer 7 · 2026-04-08 22:08:59

313

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score 1.7k · Answer 8 · 2026-04-14 00:45:45

1.7k

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score 72 · Answer 9 · 2026-04-09 15:31:47

72

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score 87 · Answer 10 · 2026-04-10 23:44:09

87

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score 2k · Answer 11 · 2026-04-09 16:33:58

2k

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Bessel's Differential Equation - textbook queries:

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score 159 · Answer 12 · 2026-04-12 13:22:50

159

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Are there bounded nonconvergent sequences satisfying this recurrence relation?

Published on 12 Apr 2026 - 13:22

score 95 · Answer 13 · 2026-04-15 23:39:34

95

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Is there a sequence of positive integers such that $a_{n+3}-a_{n+2}=\sqrt{a_{n+1}+a_n}$?

Published on 15 Apr 2026 - 23:39

score 209 · Answer 14 · 2026-04-16 03:20:09

209

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How to solve master theorem $T(n) = 3T\left(\frac{n}{2}\right) + \frac{n^2}{\log_2 n}$

Published on 16 Apr 2026 - 3:20

score 887 · Answer 15 · 2026-04-16 14:21:58

887

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Fibonorial of a fractional or complex argument

Published on 16 Apr 2026 - 14:21

List Question

Good number $n=a_1+a_2+a_3+\cdots+a_k$ with $ {1\over {a_1}} + {1\over {a_2}} + {1\over {a_3}} + \cdots+{1\over{a_k}}=1$

Stuck: To show that the divide and conquer relation represent Merge Sort

If $s(1)=1$ and $s(n)=s(n-1)+\text{lcm}[n,s(n-1)]-(-1)^n$ then $\lim\limits_{n\to \infty}\frac{s(n)}{(n+1)!}=\frac{1}{e}$

Recurrent sequence limit

Determining the E.G.F from an Umbral Type Recurrence Formula

Master theorem with $f(n) = n\log(\log n)$

How do I solve this first order difference equation?

recurrence relation number of bacteria

General Solution and Particular Solution of Recurrence Equation

Particular Solution of Recurrence Equation

Bessel's Differential Equation - textbook queries:

Are there bounded nonconvergent sequences satisfying this recurrence relation?

Is there a sequence of positive integers such that $a_{n+3}-a_{n+2}=\sqrt{a_{n+1}+a_n}$?

How to solve master theorem $T(n) = 3T\left(\frac{n}{2}\right) + \frac{n^2}{\log_2 n}$

Fibonorial of a fractional or complex argument

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