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A231503 a(n) = Sum_{i=0..n} digsum_3(i)^2, where digsum_3(i) = A053735(i). 3
0, 1, 5, 6, 10, 19, 23, 32, 48, 49, 53, 62, 66, 75, 91, 100, 116, 141, 145, 154, 170, 179, 195, 220, 236, 261, 297, 298, 302, 311, 315, 324, 340, 349, 365, 390, 394, 403, 419, 428, 444, 469, 485, 510, 546, 555, 571, 596, 612, 637, 673, 698, 734, 783, 787, 796, 812, 821, 837, 862, 878, 903, 939, 948, 964, 989, 1005, 1030, 1066, 1091, 1127, 1176, 1192, 1217, 1253, 1278 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..75.

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)^2); \\ Michel Marcus, Sep 20 2017

CROSSREFS

Cf. A053735, A094345, A231504, A231505.

Sequence in context: A329271 A011985 A318907 * A254227 A326806 A056050

Adjacent sequences:  A231500 A231501 A231502 * A231504 A231505 A231506

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Nov 13 2013

STATUS

approved

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Last modified August 1 06:45 EDT 2021. Contains 346384 sequences. (Running on oeis4.)