A017928 -id:A017928 - cp's OEIS frontend

A018066 Powers of fourth root of 8 rounded down.

1, 1, 2, 4, 8, 13, 22, 38, 64, 107, 181, 304, 512, 861, 1448, 2435, 4096, 6888, 11585, 19483, 32768, 55108, 92681, 155871, 262144, 440871, 741455, 1246974, 2097152, 3526975, 5931641, 9975792, 16777216, 28215801, 47453132, 79806338

Offset: 0

N. J. A. Sloane

nonn

Robert Israel, Table of n, a(n) for n = 0..4424

Cf. A017928 (bisection).

[Floor((8^(1/4))^n) : n in [0..35]]; // Vincenzo Librandi, May 29 2025

seq(floor(2^(3*k/4)),k=0..100); # Robert Israel, May 08 2018

Table[Floor[(8^(1/4))^n],{n,0,35}] (* Vincenzo Librandi, May 29 2025 *)

a(n) = sqrtnint(8^n, 4); \\ Michel Marcus, May 08 2018

a(n)^4 <= 8^n < (a(n)+1)^4. - Robert Israel, May 08 2018

A255616 Table read by antidiagonals, T(n,k) = floor(sqrt(k^n)), n >= 0, k >=1.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 2, 1, 1, 2, 4, 5, 4, 1, 1, 2, 5, 8, 9, 5, 1, 1, 2, 6, 11, 16, 15, 8, 1, 1, 2, 7, 14, 25, 32, 27, 11, 1, 1, 3, 8, 18, 36, 55, 64, 46, 16, 1, 1, 3, 9, 22, 49, 88, 125, 128, 81, 22, 1, 1, 3, 10, 27, 64, 129, 216, 279, 256, 140, 32, 1, 1, 3, 11, 31, 81, 181, 343, 529, 625, 512, 243, 45, 1

Offset: 0

Kival Ngaokrajang, Feb 28 2015

			See table in the links.

G. C. Greubel, Table of n, a(n) for the first 100 antidaigonals, flattened
Kival Ngaokrajang, Example of table T(n,k), n = 0..12, k = 1..10

Rows(1..10): A000012, A000196, A000027, A000093, A000290, A155013, A000578, A155014, A000583, A238170.
Columns(1..10): A000012, A017910, A017913, A000079, A017919, A017922, A017925, A017928, A000244, A017934.
Diagonals: A190343, A066642, A075264.

T[n_, k_] := Floor[Sqrt[k^n]]; Table[T[k, n + 1 - k], {n, 0, 15}, {k, 0, n}] (* G. C. Greubel, Dec 30 2017 *)

{for(i=1,20,for(n=0,i-1,a=floor(sqrt((i-n)^n));print1(a,", ")))}

T(n,k) = floor(sqrt(k^n)), n >= 0, k >=1.

Terms a(81) onward added by G. C. Greubel, Dec 30 2017

cp's OEIS Frontend

A018066 Powers of fourth root of 8 rounded down.

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