a(n) = number of subsets S of {1,2,...,n} having more than 2 elements such that (sum of least three elements of S) < max(S).

A357285

a(n) = number of subsets S of {1,2,...,n} having more than 2 elements such that (sum of least three elements of S) < max(S).

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =8a(8) =32a(9) =104a(10) =304a(11) =792a(12) =1920a(13) =4520a(14) =10192a(15) =22392a(16) =48416a(17) =102856a(18) =215664a(19) =448792a(20) =925632a(21) =1897064a(22) =3872016a(23) =7868344a(24) =15936096a(25) =32208136a(26) =64946096a(27) =130738776a(28) =262886656a(29) =527990696

External references