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

Author

Hugo Pfoertner, Mar 08 2024

Keywords

• nonn
• frac
• easy

Comments

See A370825 for more information.

Examples

			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.
		

Links

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

Crossrefs

A370825 are the corresponding numerators.

Cf. A370823, A370824.

Programs

Mathematica

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

PARI

a370826(n) = denominator((3/4) * (3^n - 1) / (2^n - 1));

Python

from math import gcd
def A370826(n): return (a:=(1<>1) # Chai Wah Wu, Mar 10 2024

Formula

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