A233441 -id:A233441 - cp's OEIS frontend

A233442 a(n) = 2^n mod n^3.

0, 4, 8, 16, 32, 64, 128, 256, 512, 24, 717, 640, 1601, 2664, 2393, 0, 3334, 5536, 3004, 576, 4166, 9640, 5545, 8704, 7557, 3696, 19034, 6400, 20244, 5824, 29204, 0, 21293, 12176, 13493, 40960, 41146, 25008, 16154, 11776, 55680, 56008, 20642, 79040, 14957, 1016

Offset: 1

Alex Ratushnyak, Dec 09 2013

nonn

Paolo Xausa, Table of n, a(n) for n = 1..10000

Cf. A000079, A000578, A066606, A066607.

Cf. A233441, A233471.

Array[PowerMod[2, #, #^3] &, 50] (* Paolo Xausa, Mar 27 2025 *)

for n in range(1,100):  print(2**n % n**3, end=', ')

a(n) = A000079(n) mod A000578(n).

A230664 a(n) = floor(3^n/n^2).

Original entry on oeis.org

3, 2, 3, 5, 9, 20, 44, 102, 243, 590, 1464, 3690, 9433, 24402, 63772, 168151, 446851, 1195742, 3219560, 8716961, 23719621, 64836900, 177964421, 490329056, 1355661775, 3760156550, 10460353203, 29179582212, 81605680576, 228767924549, 642740266684, 1809590028175

Offset: 1

Alex Ratushnyak, Dec 11 2013

nonn

Cf. A000244, A000290, A060505, A062278.

Cf. A233441, A233471.

Table[Floor[3^n/n^2], {n, 40}] (* Wesley Ivan Hurt, Apr 25 2023 *)

for n in range(1,100):  print(3**n // n**2, end=", ")

a(n) = floor(A000244(n)/A000290(n)).

cp's OEIS Frontend

A233442 a(n) = 2^n mod n^3.

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