First differences of the binomial transform of the distinct partition numbers (A000009).

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =28a(6) =65a(7) =151a(8) =350a(9) =807a(10) =1850a(11) =4221a(12) =9597a(13) =21760a(14) =49215a(15) =111032a(16) =249856a(17) =560835a(18) =1255854a(19) =2805969a(20) =6256784a(21) =13925698a(22) =30941050a(23) =68634679a(24) =152009239a(25) =336152787a(26) =742276931a(27) =1636747349a(28) =3604206106a(29) =7926412320