22854

Appears in sequences

• a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2*n - 3 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1 and a(2) = a(3) = 3.at n=14A049972
• Number of partitions of n into parts having at most two prime-factors.at n=39A101049
• Define a(1)=1. Thereafter a(n) is the smallest positive integer with the property that a(n)^2 cannot be created by summing the squares of at most n values chosen among the previous terms (with repeats allowed).at n=19A111302
• Number of permutations p of 1,2,...,n satisfying |p(i+1)-p(i)|<>3 and |p(j+3)-p(j)|<>1 for all i=1..n-1, j=1..n-3.at n=9A189358
• Expansion of (x^2)/((1-x)*(1-2*x-x^2+x^3)^2).at n=11A189427
• Records in A087669.at n=36A192230