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A132377
a(n) = PrimePi(n)^n.
2
0, 1, 8, 16, 243, 729, 16384, 65536, 262144, 1048576, 48828125, 244140625, 13060694016, 78364164096, 470184984576, 2821109907456, 232630513987207, 1628413597910449, 144115188075855872, 1152921504606846976, 9223372036854775808, 73786976294838206464
OFFSET
1,3
LINKS
FORMULA
a(n) = A000720(n)^n.
MATHEMATICA
Table[PrimePi[n]^n, {n, 50}] (* G. C. Greubel, Nov 08 2022 *)
PROG
(Magma) [(#PrimesUpTo(n))^n: n in [1..50] ]; // G. C. Greubel, Nov 08 2022
(SageMath) [prime_pi(n)^n for n in range(1, 51)] # G. C. Greubel, Nov 08 2022
(Python)
from sympy import primepi
def A132377(n): return primepi(n)**n # Chai Wah Wu, Jan 25 2024
CROSSREFS
Cf. A000720.
Sequence in context: A340586 A005445 A322342 * A276978 A265094 A285060
KEYWORD
easy,nonn
AUTHOR
Giovanni Teofilatto, Nov 10 2007
STATUS
approved