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A370828 a(n) are the denominators corresponding to A370827(n). 2
2, 32, 392, 4352, 46112, 3584, 4860032, 49160192, 494961152, 451796992, 49818601472, 288555008, 4993469652992, 49960817917952, 499764907507712, 294034673238016, 49991536670277632, 3759016691892224, 4999695320129994752, 4545288356434542592, 11627651895922786304 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A370827 and A370823 for more information.
LINKS
FORMULA
A370827(n)/a(n) = (2/3) * (3/5)^n * ((5/2)^n - 1) / (1 - (3/5)^n).
EXAMPLE
A370827(n)/a(n) for n = 1..8: 3/2, 63/32, 1053/392, 16443/4352, 250533/46112, 28431/3584, 56859813/4860032, 853737003/49160192.
PROG
(PARI) a370828(n) = denominator((2/3) * (3/5)^n * ((5/2)^n - 1) / (1 - (3/5)^n))
(Python)
from math import gcd
def A370828(n): return (a:=5**n-3**n<<n-1)//gcd(a, 3**(n-1)*(5**n-(1<<n))) # Chai Wah Wu, Mar 12 2024
CROSSREFS
A370827 are the corresponding numerators.
Sequence in context: A199019 A127697 A191467 * A282881 A230567 A340345
KEYWORD
nonn,frac,easy
AUTHOR
Hugo Pfoertner, Mar 09 2024
STATUS
approved

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Last modified June 21 11:00 EDT 2024. Contains 373544 sequences. (Running on oeis4.)