a(n) = Sum_{j=1..n} j*B(j-1), where B(k) = A000110(k) are the Bell numbers.

A177255

a(n) = Sum_{j=1..n} j*B(j-1), where B(k) = A000110(k) are the Bell numbers.

Terms

    a(0) =0a(1) =1a(2) =3a(3) =9a(4) =29a(5) =104a(6) =416a(7) =1837a(8) =8853a(9) =46113a(10) =257583a(11) =1533308a(12) =9676148a(13) =64452909a(14) =451475027a(15) =3314964857a(16) =25442301577a(17) =203604718076

External references