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A156082 Maximum coefficient of the polynomial (-1)^(n+1)*Product_{k=1..n} (1 - x^k)^2. 1
1, 2, 3, 4, 6, 8, 12, 19, 24, 36, 52, 74, 103, 156, 223, 322, 470, 682, 992, 1448, 2120, 3072, 4494, 6538, 9584, 14001, 20400, 29928, 43774, 64032, 93968, 137520, 201766, 296236, 433746, 637812, 936334, 1373622, 2021344, 2968872, 4364300, 6422472 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Robert Israel, Table of n, a(n) for n = 1..2405

S. R. Finch, Signum equations and extremal coefficients.

Steven R. Finch, Signum equations and extremal coefficients, February 7, 2009. [Cached copy, with permission of the author]

MAPLE

P:= -1:

for n from 1 to 100 do

  P:= expand(-P*(1-x^n)^2);

  A[n]:= max(coeffs(P, x));

od:

seq(A[i], i=1..100); # Robert Israel, Mar 02 2018

MATHEMATICA

Table[ -Min[CoefficientList[Expand[(-1)^n*Product[(1 - x^k)^2, {k, 1, n}]], x]], {n, 1, 50}]

CROSSREFS

Cf. A133871.

Sequence in context: A292772 A179042 A222786 * A018465 A127107 A007886

Adjacent sequences:  A156079 A156080 A156081 * A156083 A156084 A156085

KEYWORD

nonn

AUTHOR

Steven Finch, Feb 03 2009

EXTENSIONS

Name edited by Robert Israel, Mar 02 2018

STATUS

approved

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Last modified September 19 07:08 EDT 2021. Contains 347554 sequences. (Running on oeis4.)