cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A058269 An approximation to sigma_{3/2}(n): floor( sum_{d|n} d^(3/2) ).

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%I A058269 #8 Jan 14 2023 08:45:33
%S A058269 1,3,6,11,12,23,19,34,33,46,37,73,47,74,75,98,71,127,83,144,120,143,
%T A058269 111,213,137,183,173,230,157,288,173,279,232,272,237,392,226,320,296,
%U A058269 419,263,463,282,443,404,426,323,610,362,525,440,566,386
%N A058269 An approximation to sigma_{3/2}(n): floor( sum_{d|n} d^(3/2) ).
%H A058269 Amiram Eldar, <a href="/A058269/b058269.txt">Table of n, a(n) for n = 1..10000</a>
%F A058269 Sum_{k=1..n} a(k) ~ (2/5)*zeta(5/2) * n^(5/2). - _Amiram Eldar_, Jan 14 2023
%p A058269 f := proc(n) local d, t1, t2; t2 := 0; t1 := divisors(n); for d in t1 do t2 := t2 + d^(3/2) end do; t2; end proc; # exact value of sigma_{3/2}(n)
%t A058269 a[n_] := Floor[DivisorSigma[3/2, n]]; Array[a, 50] (* _Amiram Eldar_, Jan 14 2023 *)
%Y A058269 Cf. A000203, A001157, A058270, A058271, A247041.
%K A058269 nonn
%O A058269 1,2
%A A058269 _N. J. A. Sloane_, Dec 08 2000