35685

Appears in sequences

• a(n) = (n-1)!! - (n-2)!!.at n=10A007911
• Numbers k such that (1/k) * Sum_{d|k} d*sigma(d) is an integer.at n=14A069520
• Number of 5-tuples (v1,v2,v3,v4,v5) of nonnegative integers less than n such that v1 <= v4, v1 <= v5, v2 <= v4, v2 <= v5 and v3 <= v4.at n=11A085463
• Numbers whose set of base 14 digits is {0,D}, where D base 14 = 13 base 10.at n=9A097260
• Number of different quartets of 4 differents bemirps of n digits.at n=15A123058
• a(n) = (2*n+2)!! - (2*n+1)!!.at n=5A129890
• Square array, read by antidiagonals, where row n+1 is generated from row n by first removing terms at positions [(m+2)^2/4 - 1] for m>=0 and then taking partial sums, starting with all 1's in row 0.at n=49A135876
• Integral form of A137286: Triangle of coefficients of Integral form of recursive orthogonal Hermite polynomials given in Hochstadt's book: n*IP(x, n) = x*P(x, n ) - n*P'(x, n - 2); derived to a constant from the differential recursion: P''(x,n)=x*P'(x,n)-n*P(x,n).at n=66A136262
• a(n) = ((2^b-1)/phi(n))*Sum_{d|n} Moebius(n/d)*d^(b-1) for b = 4.at n=38A160892
• Coefficient triangle of the denominators of the (n-th convergents to) the continued fraction 1/(w+2/(w+3/(w+4/... . Conjectured to equal unsigned version of A137286.at n=67A180048
• Total number of parts that are not the smallest part in all partitions of n that do not contain 1 as a part.at n=40A195821
• Triangle read by rows: T(n,k) (1 <= k <= n-1, n >= 2) = d(2*(n-k)-1)*(d(2*n-2)/d(2*(n-k)-2) - d(2*n-3)/d(2*(n-k)-3)), where d = A006882 is the double factorial function.at n=20A202212
• Number of standard Young tableaux of n cells and height <= 9.at n=11A212915
• Total number of parts in all partitions of n plus the sum of largest parts in all partitions of n plus the number of partitions of n plus n.at n=25A225610
• Sum of the divisors of n^3+1.at n=23A234645
• a(n) = (n - 1)*(n^3 + 1) = n^4 - n^3 + n - 1, for n >= 1.at n=13A242604
• Number of Dyck paths of semilength n avoiding all five consecutive patterns of Dyck paths of semilength 3.at n=15A243986
• Triangular array: row n gives the coefficients of the polynomial p(n,x) defined in Comments.at n=40A247376
• Triangle of coefficients T(n,k) of polynomials p(n,x) = Sum_{k=0..n} T(n,k)*x^k where T(0,0) = 1, and T(n,k) = 0 for k < 0 or k > n, and T(n,k) = T(n-1,k-1) + (2*n-1+k)*T(n-1,k) for n > 0 and 0 <= k <= n.at n=22A265649
• a(n) = (n!)*2^(n-1)*mu_h(n) where mu_h is the hypergeometric Moebius function associated to the Dirichlet character modulo 4 h={1,0,-1,0,1,...} (see comment).at n=6A298510