Least sum (n+1) + (n+2) + ... + (n+k) that is a multiple of the n-th triangular number, n(n+1)/2.

Terms

a(0) =2a(1) =3a(2) =30a(3) =110a(4) =30a(5) =84a(6) =1148a(7) =1980a(8) =585a(9) =935a(10) =462a(11) =702a(12) =2912a(13) =105a(14) =3120a(15) =32504a(16) =9027a(17) =11457a(18) =2660a(19) =420a(20) =2772a(21) =26312a(22) =16560a(23) =19800a(24) =44525a(25) =52299a(26) =17388a(27) =20300a(28) =10005a(29) =11625