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A281910
Minimum possible absolute value over all coefficients of p(x)/(1-x)^n, where p is a power series with +-1 coefficients.
0
1, 1, 1, 2, 8, 40, 268
OFFSET
0,4
COMMENTS
It is known that a(7) >= 2124, and that is conjectured to be the true value.
EXAMPLE
For n = 3 consider p(x) = (x+1)(x-1)^2/(x^4+1). Considered as a power series, this has coefficients +- 1 only. Then p(x)/(1-x)^3 has coefficients bounded by 2 in absolute value.
CROSSREFS
Sequence in context: A371313 A000828 A296676 * A180736 A111394 A374860
KEYWORD
nonn,hard,more
AUTHOR
Jeffrey Shallit, Feb 01 2017
STATUS
approved