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A369395 AGM transform of the even positive numbers. 1
0, 4, 432, 61696, 12300000, 3339123264, 1195810789376, 549031054934016, 315439869711260160, 222215334010000000000, 188664842745174745939968, 190234762349632291168321536, 224946256003775354246877765632, 308520390288000443379128425267200, 486093585063330330624000000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A368366 for the definition of the AGM transform.
LINKS
MATHEMATICA
A369395[n_] := n^n*((n+1)^n - (2*n)!!);
Array[A369395, 15] (* Paolo Xausa, Jan 29 2024 *)
PROG
(PARI) a369395(n) = {my(v=vector(n, i, i+i)); vecsum(v)^n - n^n*vecprod(v)};
(Python)
from math import factorial
def A369395(n): return n**n*((n+1)**n-(factorial(n)<<n)) # Chai Wah Wu, Jan 25 2024
CROSSREFS
Sequence in context: A080321 A360844 A264469 * A172858 A125760 A053780
KEYWORD
nonn,easy
AUTHOR
Hugo Pfoertner, Jan 24 2024
STATUS
approved

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Last modified May 23 11:57 EDT 2024. Contains 372763 sequences. (Running on oeis4.)