31775

Appears in sequences

• Lerch's function q_2(n) = (2^{phi(t)} - 1)/t where t = 2*n - 1.at n=16A001226
• a(n) = n^3 - n^2 + n - 1 = (n-1) * (n^2 + 1).at n=32A062158
• List of codewords in binary lexicode with Hamming distance 10 written as decimal numbers.at n=2A075946
• Basis for code in A075946.at n=1A075947
• Positions of check bits in code in A075949.at n=1A075951
• A positive integer n is included if n written in binary can be subdivided into a number of runs all of equal-length, the first run from the left consisting of all 1's, the next run consisting of all 0's, the next run consisting of all 1's, the next run consisting of all 0's, etc.at n=43A140690
• Numbers whose binary representation is the concatenation of n 1's, n 0's and n 1's.at n=4A145641
• Numbers such that every run length in base 2 is 5.at n=2A154808
• Rewrite n in binary with each digit occurring n times (see example). a(n) is the decimal equivalent.at n=4A162472
• a(n) = 2*(4^n - 1) / A027760(n).at n=9A181904
• Numbers a(n) with property a(n) + a(n+5) = 2^(n+5) - 1 = A000225(n+5).at n=15A224521
• Indices of the primorial numbers in A098550.at n=6A253590
• Decimal representation of the n-th iteration of the "Rule 37" elementary cellular automaton starting with a single ON (black) cell.at n=7A266590
• a(n) = Sum_{d|n} d^2 * (d+1)/2.at n=37A278403
• Number of elements of order n in the Suzuki group Sz(32).at n=1A284519
• Number of symmetrical fountains of n coins.at n=40A288005
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 478", based on the 5-celled von Neumann neighborhood.at n=28A288505
• Expansion of Product_{k>=1} (1 + x^k)^(sigma_1(k)-k), where sigma_1(k) = sum of divisors of k (A000203).at n=30A319107
• Positive numbers k such that the binary and negabinary representations of k and the negabinary representation of -k are all palindromic.at n=42A331895
• Total number of blocks containing only odd elements in all partitions of [n].at n=9A363452