A132377 a(n) = PrimePi(n)^n.

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

G. C. Greubel, Table of n, a(n) for n = 1..500

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

Adjacent sequences: A132374 A132375 A132376 * A132378 A132379 A132380

Keyword

easy,nonn

Author

Giovanni Teofilatto, Nov 10 2007

Status

approved