a(1) = 1, then partial products of Product_{n>=1} (p(n)/p(n-1)*p(n)/p(n-1)) = 1*1*1*(2)*(2)*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*...*; p = partition numbers, A000041 starting (1, 2, 3, 5, ...).

A171646

a(1) = 1, then partial products of Product_{n>=1} (p(n)/p(n-1)*p(n)/p(n-1)) = 1*1*1*(2)*(2)*(3/2)*(3/2)*(5/3)*(5/3)*(7/5)*(7/5)*...*; p = partition numbers, A000041 starting (1, 2, 3, 5, ...).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =6a(6) =9a(7) =15a(8) =25a(9) =35a(10) =49a(11) =77a(12) =121a(13) =165a(14) =225a(15) =330a(16) =484a(17) =660a(18) =900a(19) =1260a(20) =1764a(21) =2352a(22) =3136a(23) =4312a(24) =5929a(25) =7777a(26) =10201a(27) =13635a(28) =18225a(29) =23760

External references