A281910 Minimum possible absolute value over all coefficients of p(x)/(1-x)^n, where p is a power series with +-1 coefficients.

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.

Links

Table of n, a(n) for n=0..6.

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 A140363

Adjacent sequences: A281907 A281908 A281909 * A281911 A281912 A281913

Keyword

nonn,hard,more

Author

Jeffrey Shallit, Feb 01 2017

Status

approved