18508

Appears in sequences

• Molien series for unitary 16-dimensional full Siegel modular group H_4 of order 48514675507200.at n=20A027672
• n(n+Z(n)), where Z( ) is the Narayana-Zidek-Capell sequence (A002083).at n=14A030625
• Numbers k such that 97*2^k+1 is prime.at n=13A032398
• Matrix square of Stirling-1 triangle A008275.at n=23A039814
• Expansion of Molien series for 16-dimensional complex Clifford group of genus 4 and order 97029351014400.at n=10A051354
• a(n) = a(n-1) + a(n-2) + n (mod 3), with a(1)=a(2)=1.at n=20A081410
• Series expansion for radius of gyration of self-avoiding walks on the square lattice.at n=5A121783
• a(n) = 686*n - 14.at n=26A157363
• A156977/3.at n=26A164565
• Number of partitions of n having standard deviation σ > 5.at n=45A238657
• a(n) = Sum_{k=0..floor(n/2)} binomial(n*(n-k), n*k).at n=5A238696
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 118", based on the 5-celled von Neumann neighborhood.at n=7A270186
• Numbers n such that the decimal digits of n-phi(n) are a permutation of those of n.at n=36A273799
• p-INVERT of (1,1,0,0,0,0,...), where p(S) = 1 - S^5.at n=24A291380
• G.f. A(x) satisfies: A(x) = (1 + x) * A(x^2)*A(x^3)*A(x^5)* ... *A(x^prime(k))* ...at n=49A308272
• T(n, k) = [x^k] Sum_{k=0..n} Stirling1(n, k)*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n.at n=31A325872
• Irregular table read by rows: Take a heptagon with all diagonals drawn, as in A329713. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.at n=35A329714
• E.g.f.: -log(1 + log(1 - x))^3 / 6.at n=4A341588
• a(n) = Sum_{k=0..floor(n/10)} binomial(n-5*k,5*k).at n=25A348290
• Number of partitions of n such that 5*(least part) + 1 = greatest part.at n=58A363077