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Powers of fifth root of 22 rounded to nearest integer.
1

%I #17 Jun 20 2024 14:47:00

%S 1,2,3,6,12,22,41,76,141,261,484,898,1667,3092,5738,10648,19758,36664,

%T 68033,126243,234256,434686,806603,1496733,2777339,5153632,9563083,

%U 17745264,32928126,61101455,113379904

%N Powers of fifth root of 22 rounded to nearest integer.

%t Round/@((Power[22, (5)^-1])^Range[0, 30]) (* _Harvey P. Dale_, Jan 31 2011 *)

%o (Python)

%o from sympy import integer_nthroot

%o def A018178(n): return -integer_nthroot(m:=11**n<<n, 5)[0]+integer_nthroot(m<<5, 5)[0] # _Chai Wah Wu_, Jun 20 2024

%Y Cf. A011107.

%K nonn

%O 0,2

%A _N. J. A. Sloane_