a(n) = A340131(A001006(n)).

Terms

a(0) =5a(1) =15a(2) =50a(3) =150a(4) =455a(5) =1365a(6) =4100a(7) =12300a(8) =36905a(9) =110715a(10) =332150a(11) =996450a(12) =2989355a(13) =8968065a(14) =26904200a(15) =80712600a(16) =242137805a(17) =726413415a(18) =2179240250a(19) =6537720750a(20) =19613162255a(21) =58839486765a(22) =176518460300a(23) =529555380900