Number of partitions of n objects of 3 colors.

Terms

a(0) =1a(1) =3a(2) =12a(3) =38a(4) =117a(5) =330a(6) =906a(7) =2367a(8) =6027a(9) =14873a(10) =35892a(11) =84657a(12) =196018a(13) =445746a(14) =997962a(15) =2201438a(16) =4792005a(17) =10300950a(18) =21889368a(19) =46012119a(20) =95746284a(21) =197344937a(22) =403121547a(23) =816501180a(24) =1640549317a(25) =3271188702a(26) =6475456896a(27) =12730032791a(28) =24861111315a(29) =48246729411