A129629 Nonzero bisection of Moebius transform of A082392.
1, 1, 3, 7, 14, 31, 63, 123, 255, 511, 1015, 2047, 4092, 8176, 16383, 32767, 65503, 131061, 262143, 524223, 1048575, 2097151, 4194162, 8388607, 16777208, 33554175, 67108863, 134217693, 268434943, 536870911, 1073741823
Offset: 1
Keywords
Programs
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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
Formula
a(n+1) = 2^n-A383182(n). - M. F. Hasler, May 03 2008; sequence number corrected by M. F. Hasler, May 27 2025
Comments