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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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
It is known that a(7) >= 2124, and that is conjectured to be the true value.
LINKS
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: A321733 A000828 A296676 * A180736 A111394 A140363
KEYWORD
nonn,hard,more
AUTHOR
Jeffrey Shallit, Feb 01 2017
STATUS
approved

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Last modified February 21 06:16 EST 2024. Contains 370219 sequences. (Running on oeis4.)