101010101

Appears in sequences

• Alternate digits 1 and 0.at n=9A056830
• a(n) = n^8 + n^6 + n^4 + n^2 + 1.at n=10A059839
• Positions of nonzero coefficients in cyclotomic polynomial Phi_n(x), A063670 in binary.at n=20A063671
• Numbers of the form (10^(m*r)-1)/(10^r-1) for positive integers m, r.at n=19A076289
• a(n) = A078252(n)/n.at n=9A078253
• a(n) = floor((n+2)^(n+2)/((n+2)^2-1)).at n=8A089815
• Expansion of x(1+100x)/((1-x^2)(1-100x^2)).at n=9A094027
• Expansion of 1/((1-x)*(1-100*x)).at n=4A094028
• Lexicographically earliest increasing sequence with property that in the concatenation of its terms every pair of consecutive digits differs by 1.at n=32A098766
• Sequence A114384 in binary.at n=18A114385
• Sequence A115774 in binary.at n=16A115775
• a(n) = ((2n)^(2n) - 1)/((2n+1)*(2n-1)).at n=5A128542
• Integers written in base phi, with the "decimal point" omitted.at n=10A130600
• Integers written in base phi, with the "decimal point" omitted.at n=10A130601
• Start with 1, then at each step prepend 10 and append 01.at n=2A144863
• Palindromes formed from the reflected decimal expansion of the infinite concatenation of 1's and 0's.at n=8A147759
• Palindromes formed from concatenation of A147759(n) and the same string A147759(n) but without its initial digit.at n=4A153498
• Numbers k which are concatenations k = x//y such that y^2 - x^2 = k.at n=18A162700
• (100^n,1) Pascal triangle.at n=16A164847
• Squares in lunar arithmetic in base 2 written in base 2.at n=21A171222