cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A238170 Integer part of square root of A001017: a(n) = floor(n^(9/2)).

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%I A238170 #33 Jun 04 2023 14:02:41
%S A238170 0,1,22,140,512,1397,3174,6352,11585,19683,31622,48558,71831,102978,
%T A238170 143739,196069,262144,344365,445375,568056,715541,891223,1098758,
%U A238170 1342070,1625363,1953125,2330129,2761448,3252453,3808824,4436552,5141947,5931641,6812597,7792110
%N A238170 Integer part of square root of A001017: a(n) = floor(n^(9/2)).
%H A238170 Vincenzo Librandi, <a href="/A238170/b238170.txt">Table of n, a(n) for n = 0..1000</a>
%F A238170 a(n) = floor(n^(9/2)).
%F A238170 a(n) = A000196(A001017(n)).
%F A238170 a(n) = floor(n^4*sqrt(n)).
%t A238170 Table[Floor[n^(9/2)], {n,0,30}] (* _G. C. Greubel_, Dec 30 2017 *)
%o A238170 (Magma) [Floor(n^(9/2)): n in [0..40]]; // _Vincenzo Librandi_, Feb 23 2014
%o A238170 (PARI) a(n) = floor(n^(9/2)); \\ _Joerg Arndt_, Feb 23 2014
%o A238170 (Python)
%o A238170 from math import isqrt
%o A238170 def A238170(n): return isqrt(n**9) # _Chai Wah Wu_, Jan 27 2023
%Y A238170 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 A238170 nonn
%O A238170 0,3
%A A238170 _Philippe Deléham_, Feb 21 2014