A075614 Let P(k,X) = 4^k*Product_{i=1..k} (X - cos(Pi*i/k)) (which is a polynomial with integer coefficients). Sequence gives maximum absolute values of coefficients of P(n,X).

4, 16, 64, 256, 1024, 4096, 20480, 98304, 458752, 2097152, 9437184, 41943040, 188743680, 922746880, 4429185024, 20937965568, 97710505984, 450971566080, 2061584302080, 9620726743040, 46729244180480, 224300372066304

Offset

1,1

Links

Table of n, a(n) for n=1..22.

Example

P(3,X) = 64*X^3 + 64*X^2 - 16*X - 16, hence a(3)=64.

Crossrefs

Sequence in context: A000302 A262710 A050734 * A083592 A069029 A238940

Adjacent sequences: A075611 A075612 A075613 * A075615 A075616 A075617

Keyword

easy,nonn

Author

Benoit Cloitre, Oct 11 2002

Extensions

Name clarified by Sean A. Irvine, Feb 26 2025

Status

approved