38115

Appears in sequences

• 4-dimensional figurate numbers: a(n) = (5*n-1)*binomial(n+2,3)/4.at n=20A002418
• Centered tetrahedral numbers.at n=38A005894
• Expansion of e.g.f. theta_3^(7/2).at n=6A015667
• Denominators of poly-Bernoulli numbers B_n^(k) with k=2.at n=10A027644
• Non-palindromic solutions to sigma(R(n)) = sigma(n), where R = A004086 is digit-reversal.at n=17A085329
• C(2*n+4,4)-C(2*n,4).at n=19A085474
• a(n) = (n+1)(n+2)^2*(n+3)^2*(n+4)(2n+5)/720.at n=8A114242
• Sum of the cubes of the first n noncubefree numbers.at n=4A114287
• Dimensions of certain Lie algebra (see reference for precise definition).at n=4A133350
• Numbers with exactly 4 distinct odd prime divisors {3,5,7,11}.at n=10A147577
• Expansion of g.f.: 1/((1 - x - x^2 + x^5 - x^7)*(1 - x^2 + x^5 + x^6 - x^7)).at n=24A147617
• a(n) = (n-1)^2*(n+1).at n=34A152618
• Triangle T(n,m) = (A006882(2*n + 1))^2 / ( A006882(2*m+1) * A006882(2*n-2*m+1) ).at n=16A153512
• Triangle T(n,m) = (A006882(2*n + 1))^2 / ( A006882(2*m+1) * A006882(2*n-2*m+1) ).at n=19A153512
• A four product triangle sequence based on :a=2;f(n,a)=f(n - 1, a) + a*f(n - 2, a).at n=12A174187
• Triangle read by rows: labeled trees counted by improper edges.at n=27A217922
• a(n) = binomial(floor(n/2),4) + (ceiling(n/2)-3)*binomial(floor(n/2),3).at n=45A234277
• Expansion of x*(1 + 3*x + x^2)/((1 - x)^5*(1 + x)^4).at n=39A287143
• G.f. A(x) = Sum_{n>=0} x^n/a(n) satisfies: A(x) = A(x^2) + Integral A(x^2) dx.at n=121A294640
• Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero.at n=8A305344