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%I #7 Sep 20 2017 10:56:35
%S 0,1,9,36,100,225,441,784,785,793,820,884,1009,1225,1568,2080,2088,
%T 2115,2179,2304,2520,2863,3375,4104,4131,4195,4320,4536,4879,5391,
%U 6120,7120,7184,7309,7525,7868,8380,9109,10109,11440,11565,11781,12124,12636,13365,14365,15696,17424,17640,17983,18495,19224,20224,21555,23283,25480,25823,26335,27064,28064,29395
%N a(n) = Sum_{i=0..n} digsum_8(i)^3, where digsum_8(i) = A053829(i).
%H Jean Coquet, <a href="https://doi.org/10.1016/0022-314X(86)90067-3">Power sums of digital sums</a>, J. Number Theory 22 (1986), no. 2, 161-176.
%H P. J. Grabner, P. Kirschenhofer, H. Prodinger, R. F. Tichy, <a href="http://math.sun.ac.za/~hproding/abstract/abs_80.htm">On the moments of the sum-of-digits function</a>, <a href="http://math.sun.ac.za/~hproding/pdffiles/st_andrews.pdf">PDF</a>, Applications of Fibonacci numbers, Vol. 5 (St. Andrews, 1992), 263-271, Kluwer Acad. Publ., Dordrecht, 1993.
%H J.-L. Mauclaire, Leo Murata, <a href="https://dx.doi.org/10.3792/pjaa.59.274">On q-additive functions. I</a>, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 6, 274-276.
%H J.-L. Mauclaire, Leo Murata, <a href="https://dx.doi.org/10.3792/pjaa.59.441">On q-additive functions. II</a>, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 9, 441-444.
%H J. R. Trollope, <a href="http://www.jstor.org/stable/2687954">An explicit expression for binary digital sums</a>, Math. Mag. 41 1968 21-25.
%o (PARI) a(n) = sum(i=0, n, sumdigits(i, 8)^3); \\ _Michel Marcus_, Sep 20 2017
%Y Cf. A053829, A231680, A231681, A231683.
%K nonn,base
%O 0,3
%A _N. J. A. Sloane_, Nov 13 2013
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