27027

Appears in sequences

• a(n) = n*(n+1)*(n+2)*(n+7)/24.at n=26A005582
• a(n) = (n+1)*binomial(n+6,6).at n=8A027818
• Number of nonnegative solutions of x1^2 + x2^2 + ... + x9^2 = n.at n=32A045851
• Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= n/3.at n=19A048001
• Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-1)/3.at n=19A048014
• Number of nonempty subsets of {1,2,...,n} in which exactly 1/6 of the elements are <= (n-2)/3.at n=19A048025
• Coefficient triangle of certain polynomials N(5; m,x).at n=53A062190
• a(n) = C(3+n, n) + C(4+n, n) + C(5+n, n) + C(6+n, n).at n=12A062966
• Numbers n such that d(n) = phi(n+1) - phi(n), where d(n) denotes the number of divisors of n.at n=7A066171
• Numbers whose name in American English is a word-palindrome, reading the same forward and backward.at n=35A081365
• Smallest number having n divisors ending with 1 or 9.at n=15A085645
• Triangle read by rows: T(n,k) is the number of dissections of a convex n-gon by nonintersecting diagonals, having exactly k triangles (n >= 2, k >= 0).at n=50A090985
• Numbers which are the sum of two positive cubes and divisible by 11.at n=36A101852
• a(n) = least integer of the form (n+2)(n+4)...(n+2k)/n, or 0 if no such number exists.at n=4A109899
• Number of magic labelings of the Petersen graph with magic sum n.at n=13A125196
• Numerators of triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the coefficient of x^(2k+1) in polynomial t_n(x), used to define continuous and n times differentiable sigmoidal transfer functions.at n=30A144815
• Nine times hexagonal numbers: a(n) = 9*n*(2*n-1).at n=39A152994
• a(n) = 1001*n.at n=26A153814
• One-fourth of partial sums of A153976.at n=20A153977
• Number of n X n arrays of squares of integers summing to 32.at n=1A159429