Define E(n) = Sum_{k >= 0} (-1)^floor(k/3)*k^n/k! for n = 0,1,2,... . Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(0).
A143628
Define E(n) = Sum_{k >= 0} (-1)^floor(k/3)*k^n/k! for n = 0,1,2,... . Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(0).
Terms
- a(0) =1a(1) =0a(2) =0a(3) =-1a(4) =-6a(5) =-25a(6) =-89a(7) =-280a(8) =-700a(9) =-380a(10) =13452a(11) =149831a(12) =1214852a(13) =8700263a(14) =57515640a(15) =351296151a(16) =1909757620a(17) =8017484274a(18) =5703377941a(19) =-428273438434
External references
- oeis: A143628