|
|
A231689
|
|
a(n) = Sum_{i=0..n} digsum(i)^4, where digsum(i) = A007953(i).
|
|
5
|
|
|
0, 1, 17, 98, 354, 979, 2275, 4676, 8772, 15333, 15334, 15350, 15431, 15687, 16312, 17608, 20009, 24105, 30666, 40666, 40682, 40763, 41019, 41644, 42940, 45341, 49437, 55998, 65998, 80639, 80720, 80976, 81601, 82897, 85298, 89394, 95955, 105955, 120596, 141332, 141588, 142213, 143509, 145910, 150006, 156567, 166567, 181208, 201944, 230505, 231130, 232426, 234827, 238923
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,3
|
|
LINKS
|
P. J. Grabner, P. Kirschenhofer, H. Prodinger and R. F. Tichy, On the moments of the sum-of-digits function, PDF, Applications of Fibonacci numbers, Vol. 5 (St. Andrews, 1992), Kluwer Acad. Publ., Dordrecht, 1993, pp. 263-271.
J.-L. Mauclaire and Leo Murata, On q-additive functions. I, Proc. Japan Acad. Ser. A Math. Sci., Vol. 59, No. 6 (1983), pp. 274-276.
|
|
MAPLE
|
|
|
MATHEMATICA
|
Accumulate[Table[Total[IntegerDigits[n]]^4, {n, 0, 60}]] (* Harvey P. Dale, May 12 2014 *)
|
|
PROG
|
(PARI) a(n) = sum(i=0, n, sumdigits(i)^4); \\ Michel Marcus, Sep 20 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|