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n-1-H-n-2-n-4-




Question Number 126669 by Dwaipayan Shikari last updated on 23/Dec/20
Σ_(n=1) ^∞ (H_n ^2 /n^4 )
$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{H}_{{n}} ^{\mathrm{2}} }{{n}^{\mathrm{4}} } \\ $$
Commented by talminator2856791 last updated on 23/Dec/20
 what does H mean?
$$\:\mathrm{what}\:\mathrm{does}\:{H}\:\mathrm{mean}? \\ $$
Commented by Dwaipayan Shikari last updated on 23/Dec/20
H_n =1+(1/2)+(1/3)+(1/4)+...+(1/n)
$${H}_{{n}} =\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+\frac{\mathrm{1}}{\mathrm{4}}+…+\frac{\mathrm{1}}{{n}} \\ $$
Answered by Olaf last updated on 23/Dec/20
Hello from France. I know this is not  the place here but I wish you a Merry  Chistmas. Mr Shikari your questions  are always difficult but very  interesting. Thank you very much for  helping me improve. Thanks to you,  I learn a lot of things, you are my  best teacher.  Olaf Thorendsen.
$${Hello}\:{from}\:{France}.\:{I}\:{know}\:{this}\:{is}\:{not} \\ $$$${the}\:{place}\:{here}\:{but}\:{I}\:{wish}\:{you}\:{a}\:{Merry} \\ $$$${Chistmas}.\:{Mr}\:{Shikari}\:{your}\:{questions} \\ $$$${are}\:{always}\:{difficult}\:{but}\:{very} \\ $$$${interesting}.\:{Thank}\:{you}\:{very}\:{much}\:{for} \\ $$$${helping}\:{me}\:{improve}.\:{Thanks}\:{to}\:{you}, \\ $$$${I}\:{learn}\:{a}\:{lot}\:{of}\:{things},\:{you}\:{are}\:{my} \\ $$$${best}\:{teacher}. \\ $$$${Olaf}\:{Thorendsen}. \\ $$
Commented by Dwaipayan Shikari last updated on 23/Dec/20
Haha , I am a student sir! :)  Merry Christmas!!   β›„πŸŽ…πŸ€ΆπŸ¦ŒπŸŽ„  I have also learned so many things from you:)
$$\left.{Haha}\:,\:{I}\:{am}\:{a}\:{student}\:{sir}!\::\right) \\ $$$${Merry}\:{Christmas}!!\: \\ $$β›„πŸŽ…πŸ€ΆπŸ¦ŒπŸŽ„
$$\left.{I}\:{have}\:{also}\:{learned}\:{so}\:{many}\:{things}\:{from}\:{you}:\right) \\ $$$$ \\ $$
Commented by Dwaipayan Shikari last updated on 23/Dec/20
My age is ∼e^(2.8339) or e^(2+((10)/(12)))
$${My}\:{age}\:{is}\:\sim{e}^{\mathrm{2}.\mathrm{8339}} {or}\:{e}^{\mathrm{2}+\frac{\mathrm{10}}{\mathrm{12}}} \\ $$
Commented by liberty last updated on 23/Dec/20
you are amazing mr Olaf. Happy merry  chrismast for you and all. Joy..to the  world...
$${you}\:{are}\:{amazing}\:{mr}\:{Olaf}.\:{Happy}\:{merry} \\ $$$${chrismast}\:{for}\:{you}\:{and}\:{all}.\:{Joy}..{to}\:{the} \\ $$$${world}… \\ $$

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