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

0, 1, 22, 140, 512, 1397, 3174, 6352, 11585, 19683, 31622, 48558, 71831, 102978, 143739, 196069, 262144, 344365, 445375, 568056, 715541, 891223, 1098758, 1342070, 1625363, 1953125, 2330129, 2761448, 3252453, 3808824, 4436552, 5141947, 5931641, 6812597, 7792110

Offset: 0

Author

Philippe Deléham, Feb 21 2014

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

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).

Programs

Magma

[Floor(n^(9/2)): n in [0..40]]; // Vincenzo Librandi, Feb 23 2014

Mathematica

Table[Floor[n^(9/2)], {n,0,30}] (* G. C. Greubel, Dec 30 2017 *)

PARI

a(n) = floor(n^(9/2)); \\ Joerg Arndt, Feb 23 2014

Python

from math import isqrt
def A238170(n): return isqrt(n**9) # Chai Wah Wu, Jan 27 2023

Formula

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

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

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