47649

Appears in sequences

• First row of spectral array W(sqrt(3)).at n=25A022159
• Triangle read by rows: T(n,k) number of ways of partitioning the (n+5)-element multiset {1,1,1,1,1,1,2,3,...,n} into exactly k nonempty parts, n >= 0 and 1 <= k <= n + 5.at n=71A291120
• E.g.f. satisfies: A(x) = Sum_{n>=0} (n+1)^(2*n-1)/n! * x^n/A(x)^n.at n=4A296235
• Odd numbers m for which A379113(m^2) > 1, i.e., k = m^2 has a proper unitary divisor d > 1 such that A048720(A065621(sigma(d)),sigma(k/d)) is equal to sigma(k).at n=50A379122