Group the natural numbers such that the first group is (1) then (2),(3),(4,5),(6,7,8),... with the n-th group containing F(n) sequential terms where F(n) is the n-th Fibonacci number (A000045(n)). Sequence gives the sum of terms in the n-th group.
A301809
Group the natural numbers such that the first group is (1) then (2),(3),(4,5),(6,7,8),... with the n-th group containing F(n) sequential terms where F(n) is the n-th Fibonacci number (A000045(n)). Sequence gives the sum of terms in the n-th group.
Terms
- a(0) =1a(1) =2a(2) =3a(3) =9a(4) =21a(5) =55a(6) =140a(7) =364a(8) =945a(9) =2465a(10) =6435a(11) =16821a(12) =43992a(13) =115102a(14) =301223a(15) =788425a(16) =2063817a(17) =5402651a(18) =14143524a(19) =37026936a(20) =96935685a(21) =253777537a(22) =664392743a(23) =1739393929a(24) =4553778096a(25) =11921922650a(26) =31211961195a(27) =81713914569a(28) =213929707485a(29) =560075086495
External references
- oeis: A301809