45844

Appears in sequences

• a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 4.at n=32A050055
• McKay-Thompson series of class 32B for the Monster group.at n=45A058630
• Numbers n such that n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1).at n=32A075654
• Expansion of the elliptic function sqrt(k(q))/q^(1/4) in powers of q, where sqrt(k(q)) = theta_2(q)/theta_3(q).at n=22A127392
• Expansion of x/((1 - x - x^4)*(1 - x)^5).at n=17A145134
• Number of (n+2) X 7 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=9A202444
• Number of weakly unimodal compositions of n with absolute difference of successive parts <= 1.at n=42A238871
• Number of ballot sequences of length n with exactly 2 fixed points.at n=12A238977