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(Python)
from itertools import accumulate, count, islice
from sympy import prime
def A061789_gen(): # generator of terms
yield from accumulate(((p:=prime(k))**p for k in count(1)))
A061789_list = list(islice(A061789_gen(), 20)) # Chai Wah Wu, Jun 17 2022
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Cf. A051674.
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Corrected and extended by _Jason Earls (zevi_35711(AT)yahoo.com), _, May 26 2001
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a(n) = Sum_{k=1..n} prime(k)^prime(k), prime(k) = k-th prime (A000040).
a(3) = 2^2 + 3^3 + 5^5 = 3156.
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