on the representation of m as ∑k=−nnϵkk

on the representation of m as ∑k=−nnϵkk

;Lane Clark
structural engineering and mechanics 2000 Vol. 23 pp. 77-80
105
clark2000internationalon

Abstract

Let A(n,m) be the number of solutions of ∑k=−nnϵkk=m where each ϵk∈{0,1}. We determine the asymptotic behavior of A(n,m) for m=o(n3/2), extending results of van Lint and of Entringer.

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