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Cf. A045512 (excludes zero digits).
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(PARI) apply( {A045503(n)=vecsum([d^d|d<-digits(n+!n)])}, [0..44]) \\ M. F. Hasler, Oct 01 2024
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a:= n-> add(i^i, i=convert(n, base, 10)):
seq(a(n), n=0..42); # Alois P. Heinz, Apr 29 2022
1, 1, 4, 27, 256, 3125, 46656, 823543, 16777216, 387420489, 2, 2, 5, 28, 257, 3126, 46657, 823544, 16777217, 387420490, 5, 5, 8, 31, 260, 3129, 46660, 823547, 16777220, 387420493, 28, 28, 31, 54, 283, 3152, 46683, 823570, 16777243, 387420516, 257, 257, 260
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