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A076584 Let P(n,x) = Product_{k=1..n} polcyclo(k,x) where polcyclo(k,x) denotes the k-th cyclotomic polynomial. Sequence gives the maximum value of coefficients of P(n,x). 0
1, 1, 1, 1, 3, 2, 9, 13, 28, 22, 174, 143, 1421, 1179, 965, 1627, 22543, 19720, 311514, 273894, 236320, 209255, 4127583, 3734824, 16283658, 14694118, 39214357, 35681217, 915568753, 847646751, 23431024516, 43093548356, 39165894190 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

The degree of P(n,x) is phi(1) + phi(2) + ... + phi(n) = A002088(n) and if c(n,i) denotes the coefficient of x^i in P(n,x): c(n,i) + c(n, A002088(n) - i) = 0.

LINKS

Table of n, a(n) for n=1..33.

EXAMPLE

P(5,x) = x^10 + 2*x^9 + 3*x^8 + 3*x^7 + 2*x^6 - 2*x^4 - 3*x^3 - 3*x^2 - 2*x - 1, hence a(5)=3.

PROG

(PARI) a(n)=vecmax(vector(sum(k=1, n, eulerphi(k))+1, i, polcoeff(prod(i=1, n, polcyclo(i)), i-1)))

CROSSREFS

Sequence in context: A053088 A077898 A303631 * A309673 A154343 A049969

Adjacent sequences:  A076581 A076582 A076583 * A076585 A076586 A076587

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Oct 20 2002

STATUS

approved

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Last modified January 23 11:59 EST 2022. Contains 350512 sequences. (Running on oeis4.)