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A366654 a(n) = phi(8^n-1), where phi is Euler's totient function (A000010). 14

%I #15 Jan 09 2024 18:46:37

%S 6,36,432,1728,27000,139968,1778112,6635520,113467392,534600000,

%T 6963536448,26121388032,465193834560,2427720325632,28548223200000,

%U 109586090557440,1910296842179040,9618417501143040,123523151337020736,406467072000000000,7713001620195508224

%N a(n) = phi(8^n-1), where phi is Euler's totient function (A000010).

%H Max Alekseyev, <a href="/A366654/b366654.txt">Table of n, a(n) for n = 1..500</a>

%F a(n) = A053287(3*n). - _Max Alekseyev_, Jan 09 2024

%t EulerPhi[8^Range[30] - 1]

%o (PARI) {a(n) = eulerphi(8^n-1)}

%o (Python)

%o from sympy import totient

%o def A366654(n): return totient((1<<3*n)-1) # _Chai Wah Wu_, Oct 15 2023

%Y phi(k^n-1): A053287 (k=2), A295500 (k=3), A295501 (k=4), A295502 (k=5), A366623 (k=6), A366635 (k=7), this sequence (k=8), A366663 (k=9), A295503 (k=10), A366685 (k=11), A366711 (k=12).

%Y Cf. A000010, A010705, A024088, A057953, A059890, A274908, A366651, A366652, A366653.

%K nonn

%O 1,1

%A _Sean A. Irvine_, Oct 15 2023

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Last modified June 10 22:49 EDT 2024. Contains 373280 sequences. (Running on oeis4.)