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A231679 a(n) = Sum_{i=0..n} digsum_7(i)^4, where digsum_7(i) = A053828(i). 4
0, 1, 17, 98, 354, 979, 2275, 2276, 2292, 2373, 2629, 3254, 4550, 6951, 6967, 7048, 7304, 7929, 9225, 11626, 15722, 15803, 16059, 16684, 17980, 20381, 24477, 31038, 31294, 31919, 33215, 35616, 39712, 46273, 56273, 56898, 58194, 60595, 64691, 71252, 81252, 95893, 97189, 99590, 103686, 110247, 120247, 134888, 155624, 155625, 155641, 155722, 155978, 156603, 157899, 160300 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..55.

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, 7)^4);

CROSSREFS

Cf. A053828, A231676, A231677, A231678.

Sequence in context: A160827 A231671 A231675 * A231683 A231687 A231689

Adjacent sequences:  A231676 A231677 A231678 * A231680 A231681 A231682

KEYWORD

nonn,base

AUTHOR

N. J. A. Sloane, Nov 13 2013

STATUS

approved

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Last modified August 19 08:42 EDT 2019. Contains 326115 sequences. (Running on oeis4.)