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.
%I A062798 #15 May 29 2025 06:11:07 %S A062798 1,3,4,9,11,26,36,79,130,265,463,956,1717,3470,6449,12949,24311,48772, %T A062798 92379,185027,352755,705897,1352079,2705182,5200311,10402319,20058430, %U A062798 40120076,77558761,155124243,300540196,601093339,1166803576,2333630533 %N A062798 Inverse Moebius transform of A001405 (binomial(n, floor(n/2))). %H A062798 Amiram Eldar, <a href="/A062798/b062798.txt">Table of n, a(n) for n = 1..1000</a> %F A062798 a(n) = Sum_{d|n} binomial(d, floor(d/2)). %e A062798 For n = 9, divisors = {1,3,9}, a(9) = binomial(1, 0) + binomial(3, 1) + binomial(9, 4) = 1 + 3 + 126 = 130. %t A062798 a[n_] := DivisorSum[n, Binomial[#, Floor[#/2]]&]; Array[a, 35] (* _Amiram Eldar_, May 28 2025 *) %o A062798 (PARI) a(n) = sumdiv(n, d, binomial(d, d\2)); \\ _Amiram Eldar_, May 28 2025 %Y A062798 Cf. A001405, A062791, A072929. %K A062798 nonn %O A062798 1,2 %A A062798 _Labos Elemer_, Jul 19 2001 %E A062798 Offset corrected by _Amiram Eldar_, May 28 2025