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A369394 AGM transform of the primes. 4
0, 1, 190, 29761, 9991618, 3349024561, 1787557230622, 1073002497284641, 913569251212186570, 1211439486817121619201, 1701996355944048723430570, 3350440495714062711027347281, 7769260076569386601943106748798, 18992268581018658446853739996365841, 54445901270324824915088660223022735282 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
See A368366 for the definition of the AGM transform.
LINKS
MATHEMATICA
A369394[n_] := With[{p = Prime[Range[n]]}, Total[p]^n - n^n*Apply[Times, p]];
Array[A369394, 15] (* Paolo Xausa, Jan 29 2024 *)
PROG
(PARI) a369394(n) = {my(v=primes(n)); vecsum(v)^n - n^n*vecprod(v)};
(Python)
from sympy import prime, primorial
def A369394(n): return sum(prime(i) for i in range(1, n+1))**n-n**n*primorial(n) # Chai Wah Wu, Jan 25 2024
CROSSREFS
Cf. A368366.
Sequence in context: A229903 A221386 A217225 * A207211 A207205 A206731
KEYWORD
nonn,easy
AUTHOR
Hugo Pfoertner, Jan 24 2024
STATUS
approved

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Last modified May 19 00:35 EDT 2024. Contains 372666 sequences. (Running on oeis4.)