38405

Appears in sequences

• Number of partitions of n into parts not of the form 21k, 21k+2 or 21k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 9 are greater than 1.at n=47A035980
• The start of a record-breaking run of consecutive integers with an even number of prime factors.at n=9A066793
• Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.at n=24A082967
• Column 5 of triangle A091602.at n=48A091608
• Number of binary strings of length n with equal numbers of 00000 and 01010 substrings.at n=16A164185
• a(n) is the smallest k such that the n consecutive values lambda(k), lambda(k+1), ..., lambda(k+n-1) = 1, where lambda(m) is the Liouville function A008836(m).at n=13A175201
• a(n) is the smallest k such that the n consecutive values lambda(k), lambda(k+1), ..., lambda(k+n-1) = 1, where lambda(m) is the Liouville function A008836(m).at n=14A175201
• a(n) is the least number k such that the sum of the n Moebius function values beginning at k reaches the maximum value A083544(n).at n=14A225420
• Start of record runs with lambda(k) = lambda(k+1) = ..., where lambda is Liouville's function A008836.at n=9A233445
• Number of length 4 arrays x(i), i=1..4 with x(i) in i..i+n and no value appearing more than 3 times.at n=12A250362
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood.at n=32A273276
• First occurrence of a run of exactly n consecutive integers with an even number of prime factors.at n=14A275508
• Expansion of Product_{k>=1} 1/(1 - x^k * (1 + k*x)).at n=16A336976
• Records in A353717.at n=29A353722