A370826 a(n) are the denominators corresponding to A370825(n).

2, 1, 14, 1, 62, 3, 254, 17, 1022, 31, 178, 3, 16382, 5461, 65534, 257, 262142, 657, 1048574, 1271, 4194302, 60787, 356962, 12291, 67108862, 22369621, 268435454, 617093, 1073741822, 149943, 4294967294, 16843009, 746950834, 5726623061, 967879954, 981, 274877906942

Offset

1,1

Comments

See A370825 for more information.

Links

Paolo Xausa, Table of n, a(n) for n = 1..2000

Formula

A370825(n)/a(n) = (3/4) * (3^n - 1) / (2^n - 1).

Example

A370825(n)/a(n) for n=1..14: 3/2, 2, 39/14, 4, 363/62, 26/3, 3279/254, 328/17, 29523/1022, 1342/31, 11553/178, 292/3, 2391483/16382, 1195742/5461.

Mathematica

Array[Denominator[3/4*(3^#-1)/(2^#-1)] &, 50] (* Paolo Xausa, Mar 11 2024 *)

Prog

(PARI) a370826(n) = denominator((3/4) * (3^n - 1) / (2^n - 1));
(Python)
from math import gcd
def A370826(n): return (a:=(1<<n+1)-2)//gcd(a, 3**(n+1)-3>>1) # Chai Wah Wu, Mar 10 2024

Crossrefs

A370825 are the corresponding numerators.

Cf. A370823, A370824.

Sequence in context: A286740 A285653 A280412 * A155729 A217475 A288298

Adjacent sequences: A370823 A370824 A370825 * A370827 A370828 A370829

Keyword

nonn,frac,easy

Author

Hugo Pfoertner, Mar 08 2024

Status

approved