42012

Appears in sequences

• Number of pentagonal regions in regular n-gon with all diagonals drawn.at n=49A067152
• a(n) = 1 + Sum(prime(i)*(2*i-1): 1<=i<=n).at n=25A083215
• E.g.f. A(x) satisfies: exp(A(x)) = x + exp(3*A(x)^2/2), with A(0) = 0.at n=5A206401
• Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.at n=5A299091
• Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.at n=5A299095
• Expansion of (theta_3(z)*theta_3(23z) + theta_2(z)*theta_2(23z))^6.at n=16A328094
• G.f. = Phi^2*F^4, where Phi = g.f. for A028930, F = g.f. for A028959.at n=16A328535
• Records in A009101.at n=20A354710