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A181402 Total number of positive integers below 10^n requiring 7 positive cubes in their representation as sum of cubes. 9
1, 10, 73, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A061439(n) + A181375(n) + A181377(n) + A181379(n) + A181381(n) + A181400(n) + a(n) + A181404(n) + A130130(n) = A002283(n)

An unpublished result of Deshouillers-Hennecart-Landreau, combined with Lemma 3 from Bertault, Ramaré, & Zimmermann implies that a(4)-a(34) are all 121. Probably a(n) = 121 for all n > 3. - Charles R Greathouse IV, Jan 23 2014

LINKS

Table of n, a(n) for n=1..34.

F. Bertault, O. Ramaré, and P. Zimmermann, On sums of seven cubes, Math. Comp. 68 (1999), pp. 1303-1310.

Eric W. Weisstein, MathWorld -- Waring's Problem

Index entries for linear recurrences with constant coefficients, signature (1).

FORMULA

G.f.: x*(1+9*x+63*x^2+48*x^3)/(1-x). - Colin Barker, May 04 2012

CROSSREFS

Cf. A018890

Sequence in context: A058111 A223120 A240275 * A003366 A161743 A016211

Adjacent sequences:  A181399 A181400 A181401 * A181403 A181404 A181405

KEYWORD

nonn

AUTHOR

Martin Renner, Jan 28 2011

EXTENSIONS

a(5)-a(7) from Lars Blomberg, May 04 2011

a(8)-a(34) from Charles R Greathouse IV, Jan 23 2014

STATUS

approved

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Last modified December 4 15:48 EST 2020. Contains 338929 sequences. (Running on oeis4.)