A069293 Sum of square divisors of n <= sqrt(n).

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 5, 10, 1, 1, 5, 1, 1, 1, 5, 1, 10, 1, 5, 1, 1, 1, 5, 1, 1, 10, 5, 1, 1, 1, 5, 1

Offset

1,16

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to sums of divisors

Formula

G.f.: Sum_{k>=1} k^2 * x^(k^4) / (1 - x^(k^2)). - Ilya Gutkovskiy, Apr 04 2020

Mathematica

Table[DivisorSum[n, # &, And[IntegerQ@ Sqrt@ #, # <= Sqrt@ n] &], {n, 105}] (* Michael De Vlieger, Nov 20 2017 *)

Prog

(PARI) A069293(n) = sumdiv(n, d, (issquare(d)&&((d^2)<=n))*d); \\ Antti Karttunen, Nov 20 2017

Crossrefs

Cf. A000188, A035316, A046951, A069290, A069291, A069292.

Sequence in context: A051008 A304042 A109768 * A347398 A333751 A323921

Adjacent sequences: A069290 A069291 A069292 * A069294 A069295 A069296

Keyword

nonn

Author

Reinhard Zumkeller, Mar 14 2002

Extensions

More terms from Antti Karttunen, Nov 20 2017

Status

approved