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A231505 a(n) = Sum_{i=0..n} digsum_3(i)^4, where digsum_3(i) = A053735(i). 3
0, 1, 17, 18, 34, 115, 131, 212, 468, 469, 485, 566, 582, 663, 919, 1000, 1256, 1881, 1897, 1978, 2234, 2315, 2571, 3196, 3452, 4077, 5373, 5374, 5390, 5471, 5487, 5568, 5824, 5905, 6161, 6786, 6802, 6883, 7139, 7220, 7476, 8101, 8357, 8982, 10278, 10359, 10615, 11240, 11496, 12121, 13417, 14042, 15338, 17739, 17755, 17836, 18092, 18173, 18429, 19054, 19310, 19935, 21231 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..62.

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, 3)^4); \\ Michel Marcus, Sep 20 2017

CROSSREFS

Cf. A053735, A094345, A231503, A231504.

Sequence in context: A111054 A242975 A155561 * A022107 A041584 A041586

Adjacent sequences:  A231502 A231503 A231504 * A231506 A231507 A231508

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Nov 13 2013

STATUS

approved

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Last modified June 23 04:15 EDT 2021. Contains 345395 sequences. (Running on oeis4.)