Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.

A087035

Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.

Terms

    a(0) =0a(1) =1a(2) =4a(3) =13a(4) =28a(5) =53a(6) =88a(7) =137a(8) =200a(9) =281a(10) =380a(11) =501a(12) =644a(13) =813a(14) =1008a(15) =1233a(16) =1488a(17) =1777a(18) =2100a(19) =2461a(20) =2860a(21) =3301a(22) =3784a(23) =4313a(24) =4888a(25) =5513a(26) =6188a(27) =6917a(28) =7700a(29) =8541

External references