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.

A129629 Nonzero bisection of Moebius transform of A082392.

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%I A129629 #16 May 28 2025 01:11:09
%S A129629 1,1,3,7,14,31,63,123,255,511,1015,2047,4092,8176,16383,32767,65503,
%T A129629 131061,262143,524223,1048575,2097151,4194162,8388607,16777208,
%U A129629 33554175,67108863,134217693,268434943,536870911,1073741823
%N A129629 Nonzero bisection of Moebius transform of A082392.
%C A129629 Possibly identical to A011947.
%F A129629 a(n+1) = 2^n-A383182(n). - _M. F. Hasler_, May 03 2008; sequence number corrected by _M. F. Hasler_, May 27 2025
%o A129629 (PARI) A129629_upto(N=100)={ my( d=2*N+3, b=Vec( sum( k=0, exponent(d), (x^2^k)/(1-2*x^2^(k+1)),O(x^d)))); vector( N,i, sumdiv(i*2-1,k, moebius((i*2-1)/k)*b[k])) } \\  _M. F. Hasler_, May 03 2008, updated May 27 2025
%K A129629 nonn
%O A129629 1,3
%A A129629 _Ralf Stephan_, May 31 2007