A018160 Powers of fifth root of 16 rounded to nearest integer.

1, 2, 3, 5, 9, 16, 28, 49, 84, 147, 256, 446, 776, 1351, 2353, 4096, 7132, 12417, 21619, 37641, 65536, 114105, 198668, 345901, 602249, 1048576, 1825677, 3178688, 5534417, 9635980, 16777216, 29210830, 50859008

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Crossrefs

Cf. A011101.

Programs

Mathematica

Floor[(16^(1/5))^Range[0,40]+1/2] (* Harvey P. Dale, May 23 2012 *)

Python

from gmpy2 import iroot_rem
def A018160(n):
    i, j = iroot_rem(1<<(n<<2),5)
    return int(i)+int(j<<5>=10*i*((i*((i*(i+1)<<1)+1)<<2)+1)+1) # Chai Wah Wu, Jun 20 2024