A397547 - OEIS

%I #17 Jul 07 2026 22:18:38

%S 1,2,11,17,443,743,10159,17593,984467,1734443,24591493,43793863,

%T 1252842991,2247613027,32350749719,58349238473,6750044324867,

%U 12224356333619,177406570353769,322314014477851,9382052284364629,17089477261939129,249306090098352089

%N a(n) = numerator of A069835(n)/2^n.

%H Zhuorui He, <a href="/A397547/b397547.txt">Table of n, a(n) for n = 0..100</a>

%H H. Bateman, <a href="/A002692/a002692.pdf">Some problems in potential theory</a>, Messenger Math., 52 (1922), 71-78. [Annotated scanned copy]

%o (PARI) a(n)=numerator(sum(k=0, n, binomial(n, k)^2*3^k)/2^n)

%Y Cf. A069835, A397606 (denominators).

%K frac,nonn

%O 0,2

%A _Zhuorui He_, Jun 30 2026