login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A238170 Integer part of square root of A001017: a(n) = floor(n^(9/2)). 2

%I #33 Jun 04 2023 14:02:41

%S 0,1,22,140,512,1397,3174,6352,11585,19683,31622,48558,71831,102978,

%T 143739,196069,262144,344365,445375,568056,715541,891223,1098758,

%U 1342070,1625363,1953125,2330129,2761448,3252453,3808824,4436552,5141947,5931641,6812597,7792110

%N Integer part of square root of A001017: a(n) = floor(n^(9/2)).

%H Vincenzo Librandi, <a href="/A238170/b238170.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = floor(n^(9/2)).

%F a(n) = A000196(A001017(n)).

%F a(n) = floor(n^4*sqrt(n)).

%t Table[Floor[n^(9/2)], {n,0,30}] (* _G. C. Greubel_, Dec 30 2017 *)

%o (Magma) [Floor(n^(9/2)): n in [0..40]]; // _Vincenzo Librandi_, Feb 23 2014

%o (PARI) a(n) = floor(n^(9/2)); \\ _Joerg Arndt_, Feb 23 2014

%o (Python)

%o from math import isqrt

%o def A238170(n): return isqrt(n**9) # _Chai Wah Wu_, Jan 27 2023

%Y Integer part of square root of n^k: A000196 (k=1), A000093 (k=3), A155013 (k=5), A155014 (k=7), this sequence (k=9), A155015 (k=11), A155016 (k=13), A155018 (k=15), A155019 (k=17).

%K nonn

%O 0,3

%A _Philippe Deléham_, Feb 21 2014

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)