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.

A077025 a(n) = Sum_{k=1..n} floor(n/(k + 1/2)).

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%I A077025 #9 Jan 03 2024 06:31:52
%S A077025 0,1,3,4,7,9,11,14,17,19,23,25,28,32,36,37,41,46,48,52,56,58,64,66,70,
%T A077025 74,78,82,86,90,92,97,103,105,111,114,116,122,128,130,135,139,143,147,
%U A077025 153,157,161,165,168,175,179,181,189,193,197,201,205,209,215,221,224
%N A077025 a(n) = Sum_{k=1..n} floor(n/(k + 1/2)).
%C A077025 It appears that A077024(n) - a(n) = n.
%e A077025 [4/(1 + 1/2)] + [4/(2 + 1/2)] + [4/(3 + 1/2)] + [4/(4 + 1/2)] = 2+1+1+0 = 4 = a(4).
%o A077025 (PARI) a(n) = sum(k=1, n, n\(k+1/2)); \\ _Michel Marcus_, Jan 14 2023
%Y A077025 Cf. A077024.
%K A077025 nonn
%O A077025 1,3
%A A077025 _Clark Kimberling_, Oct 18 2002