Let P(n,X) = Product_{i=1..2n+1} (X - 1/cos(Pi*k/(2n+1))); then P(n,X) is a polynomial with integer coefficients. Sequences gives maximum values of absolute values of coefficients of P(n,X).

A075581

Let P(n,X) = Product_{i=1..2n+1} (X - 1/cos(Pi*k/(2n+1))); then P(n,X) is a polynomial with integer coefficients. Sequences gives maximum values of absolute values of coefficients of P(n,X).

Terms

    a(0) =1a(1) =4a(2) =16a(3) =80a(4) =448a(5) =2304a(6) =11520a(7) =67584a(8) =372736a(9) =1966080a(10) =11141120a(11) =63504384a(12) =348651520a(13) =1917583360a(14) =11142168576a(15) =62704844800a(16) =343513497600

External references