login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

a(1) = 3, a(2n) = a(2n-1)*(a(2n-1)+1)/2, a(2n+1) = a(2n)*(a(2n)-1)/2.
0

%I #8 Aug 15 2019 07:27:29

%S 3,6,15,120,7140,25493370,324955944231765,

%T 52798182845779144865989623495,

%U 1393824055908163580110066696496417846029512708072933195765,971372749414141756744711053350258180262238679505115309556108472465628097348257583700704919225793663496284373565495

%N a(1) = 3, a(2n) = a(2n-1)*(a(2n-1)+1)/2, a(2n+1) = a(2n)*(a(2n)-1)/2.

%C a(10) has 114 digits; a(11) has 228 digits. - _Emeric Deutsch_, Oct 06 2005

%p a:=proc(n) if n=1 then 3 elif n mod 2 = 0 then a(n-1)*(a(n-1)+1)/2 else a(n-1)*(a(n-1)-1)/2 fi end: seq(a(n),n=1..10); # _Emeric Deutsch_, Oct 06 2005

%K easy,nonn

%O 1,1

%A _Amarnath Murthy_, Aug 14 2005

%E More terms from _Emeric Deutsch_, Oct 06 2005