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Numerators of Hankel transform of 1/(2n+1).
1

%I #6 Oct 27 2024 12:12:17

%S 1,4,256,65536,1073741824,70368744177664,73786976294838206464,

%T 309485009821345068724781056,332306998946228968225951765070086144,

%U 1427247692705959881058285969449495136382746624,98079714615416886934934209737619787751599303819750539264

%N Numerators of Hankel transform of 1/(2n+1).

%C Conjecture - requires proof.

%F a(n)=4^A122247(n); a(n)=4^sum{k=1..n, sum{j=0..n, floor(k/2^j)}};

%t Table[4^(Sum[Sum[Floor[k/2^j],{j,0,n}],{k,n}]),{n,0,10}] (* _James C. McMahon_, Oct 27 2024 *)

%K easy,nonn

%O 0,2

%A _Paul Barry_, Aug 27 2006

%E a(10) from _James C. McMahon_, Oct 27 2024