a(n) = (1/5040)*7^n + (1/240)*5^n + (1/72)*4^n + (1/16)*3^n + (11/60)*2^n + 53/144. Partial sum of Stirling numbers of second kind S(n,i), i=1..7 (i.e., a(n) = Sum_{i=1..7} S(n,i)).
A099262
a(n) = (1/5040)*7^n + (1/240)*5^n + (1/72)*4^n + (1/16)*3^n + (11/60)*2^n + 53/144. Partial sum of Stirling numbers of second kind S(n,i), i=1..7 (i.e., a(n) = Sum_{i=1..7} S(n,i)).
Terms
- a(0) =1a(1) =2a(2) =5a(3) =15a(4) =52a(5) =203a(6) =877a(7) =4139a(8) =21110a(9) =115179a(10) =665479a(11) =4030523a(12) =25343488a(13) =164029595a(14) =1084948961a(15) =7291973067a(16) =49582466986a(17) =339971207051
External references
- oeis: A099262