30304

Appears in sequences

• Apply (1+Shift)^2 to Bell numbers.at n=9A011969
• Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).at n=47A011971
• Sequence formed by reading rows of triangle defined in A011971.at n=38A011972
• Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 87.at n=35A031585
• 3-apexes of Omega: numbers k such that Omega(k-3) < Omega(k-2)< Omega(k-1) < Omega(k) > Omega(k+1) > Omega(k+2) > Omega(k+3), where Omega(m) = the number of prime factors of m, counting multiplicity.at n=7A076760
• a(n) = S1(n,4), where S1(n,t) = Sum_{k=0..n} k^t * Sum_{j=0..k} binomial(n,j).at n=5A089661
• Number of one-element transitions from the partitions of n to the partitions of n+1 for labeled parts.at n=27A093694
• Mirror image of the Bell triangle A011971, which is also called the Pierce triangle or Aitken's array.at n=52A123346
• Number of binary strings of length n with equal numbers of 00001 and 11010 substrings.at n=16A164209
• Sum over all partitions of n of the LCM of the parts.at n=21A181844
• Number of -n..n arrays x(0..2) of 3 elements with zeroth through 2nd differences all nonzero.at n=15A199944
• Number of n X n 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero.at n=4A230903
• Number of nX5 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero.at n=4A230907
• T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero.at n=40A230910
• Numbers m such that psi(x) = phi(m) has a solution while sigma(y) = phi(m) has none.at n=30A291524
• E.g.f. A(x) satisfies A(x) = exp( x * (1-x^2) * A(x) ).at n=7A390013
• Numbers k such that A322582(k) <= A276086(k) <= A348507(k).at n=50A392602