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A271562 a(n) = G_n(17), where G is the Goodstein function defined in A266201. 4

%I #14 Jan 11 2020 15:57:47

%S 17,7625597484987,

%T 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084095

%N a(n) = G_n(17), where G is the Goodstein function defined in A266201.

%H Nicholas Matteo, <a href="/A271562/b271562.txt">Table of n, a(n) for n = 0..4</a>

%e G_1(17) = B_2(17)-1 = B_2(2^2^2+1)-1 = 3^3^3+1-1 = 7625597484987;

%e G_2(17) = B_3(3^3^3)-1 = 4^4^4-1 has 155 digits;

%e G_3(17) has 328 digits.

%Y Cf. A056193: G_n(4), A059933: G_n(16), A211378: G_n(19), A215409: G_n(3), A222117: G_n(15), A266204: G_n(5), A266205: G_n(6), A271554: G_n(7), A271555: G_n(8), A271556: G_n(9), A271557: G_n(10), A271558: G_n(11), A271559: G_n(12), A271560: G_n(13), A271561: G_n(14), A266201: G_n(n).

%K nonn,fini

%O 0,1

%A _Natan Arie Consigli_, Apr 13 2016

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Last modified August 8 14:00 EDT 2024. Contains 375021 sequences. (Running on oeis4.)