A231683 a(n) = Sum_{i=0..n} digsum_8(i)^4, where digsum_8(i) = A053829(i).

0, 1, 17, 98, 354, 979, 2275, 4676, 4677, 4693, 4774, 5030, 5655, 6951, 9352, 13448, 13464, 13545, 13801, 14426, 15722, 18123, 22219, 28780, 28861, 29117, 29742, 31038, 33439, 37535, 44096, 54096, 54352, 54977, 56273, 58674, 62770, 69331, 79331, 93972, 94597, 95893, 98294, 102390, 108951, 118951, 133592, 154328, 155624, 158025, 162121, 168682, 178682, 193323, 214059

Offset

0,3

Links

Table of n, a(n) for n=0..54.

Jean Coquet, Power sums of digital sums, J. Number Theory 22 (1986), no. 2, 161-176.

P. J. Grabner, P. Kirschenhofer, H. Prodinger, R. F. Tichy, On the moments of the sum-of-digits function, PDF, Applications of Fibonacci numbers, Vol. 5 (St. Andrews, 1992), 263-271, Kluwer Acad. Publ., Dordrecht, 1993.

J.-L. Mauclaire, Leo Murata, On q-additive functions. I, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 6, 274-276.

J.-L. Mauclaire, Leo Murata, On q-additive functions. II, Proc. Japan Acad. Ser. A Math. Sci. 59 (1983), no. 9, 441-444.

J. R. Trollope, An explicit expression for binary digital sums, Math. Mag. 41 1968 21-25.

Prog

(PARI) a(n) = sum(i=0, n, sumdigits(i, 8)^4); \\ Michel Marcus, Sep 20 2017

Crossrefs

Cf. A053829, A231680, A231681, A231682.

Sequence in context: A231671 A231675 A231679 * A231687 A231689 A000538

Adjacent sequences: A231680 A231681 A231682 * A231684 A231685 A231686

Keyword

nonn,base

Author

N. J. A. Sloane, Nov 13 2013

Status

approved