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.

A104688 Binomial transform of Moebius sequence.

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%I A104688 #14 Jun 05 2025 09:56:15
%S A104688 1,0,-2,-5,-10,-18,-30,-48,-77,-127,-213,-351,-551,-817,-1181,-1819,
%T A104688 -3304,-7003,-15454,-32185,-59830,-94733,-116204,-70931,138782,634477,
%U A104688 1440741,2129014,995270,-6559829,-30802323,-91672920,-223074852,-473661244,-893720326,-1483495634,-2049478628
%N A104688 Binomial transform of Moebius sequence.
%H A104688 Vaclav Kotesovec, <a href="/A104688/b104688.txt">Table of n, a(n) for n = 1..1000</a>
%H A104688 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F A104688 G.f. A(x) satisfies x = Sum_{n>=1} A( x^n/(1 + x^n) ). - _Paul D. Hanna_, Jun 03 2025
%e A104688 G.f.: A(x) = x - 2*x^3 - 5*x^4 - 10*x^5 - 18*x^6 - 30*x^7 - 48*x^8 - 77*x^9 - 127*x^10 - 213*x^11 - 351*x^12 + ...
%t A104688 Table[Sum[Binomial[n-1, k-1]*MoebiusMu[k], {k, 1, n}], {n, 1, 50}] (* _Vaclav Kotesovec_, Jun 01 2025 *)
%Y A104688 Cf. A008683, A124839.
%K A104688 sign
%O A104688 1,3
%A A104688 _Gary W. Adamson_, Apr 26 2005