A078428 Partial sums of A035187.

1, 1, 1, 2, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 7, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 13, 13, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 18, 18, 18, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 24, 24, 24, 24, 26, 26, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 31, 31, 31, 31, 31, 33

Offset

0,4

Links

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

M. Baake, Algebra, Combinatorics and Number Theory

M. Baake and R. V. Moody, Similarity submodules and root systems in four dimensions, arXiv:math/9904028 [math.MG], 1999; Canad. J. Math. 51 (1999), 1258-1276.

Formula

a(n) = Sum_{k=1..n} A035187(k).

a(n) is asymptotic to c*n where c=2*log(tau)/sqrt(5) and tau=(1+sqrt(5))/2

Mathematica

Array[DivisorSum[#, KroneckerSymbol[5, #]&]&, 76] // Accumulate (* Jean-François Alcover, Dec 13 2018 *)

Crossrefs

Sequence in context: A194819 A194235 A029120 * A337634 A316355 A055768

Adjacent sequences: A078425 A078426 A078427 * A078429 A078430 A078431

Keyword

nonn

Author

Benoit Cloitre, Dec 29 2002

Status

approved