A114561 a(0) = 0; thereafter a(n+1) = 4^a(n).
0, 1, 4, 256, 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096
Offset: 0
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Mathematica
NestList[4^# &, 0, 4] (* Paolo Xausa, Jul 23 2024 *)
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