49896

Appears in sequences

• Maximal kissing number of n-dimensional laminated lattice.at n=22A002336
• Theta series of laminated lattice LAMBDA_22.at n=2A023944
• Numbers n such that sum of digits of n is equal to the sum of the prime factors of n, counted with multiplicity.at n=14A063737
• Coefficient of X^2 in expansion of (1 + n*X + n*X^2)^n.at n=17A092365
• T(n, k) is the coefficient of z^k in the numerator of the polynomial part of z^n*exp(-n*s), where s = hypergeom([1, 1, 3/2], [2, 5/2], 1/z^2)/(6z^2); related to Chebyshev's quadrature. Triangle read by rows, T(n,k) for 0 <= k <= n.at n=61A101270
• Each letter appears an even number of times in the English names for 1 through n taken together (names with "and").at n=5A103155
• Where record values of A119791 occur.at n=29A119793
• Numbers with prime factorization pqr^3s^4.at n=12A190294
• Second elementary symmetric function of the first n terms of (2,2,3,3,4,4,5,5...).at n=31A203299
• Terms A002336(k) that are divisible by k.at n=14A222785
• Least integer k such that the set of the divisors of k contains exactly n pairs of numbers having the following property: for each pair of two distinct divisors, the reversal of one is equal to the other.at n=9A260705
• Denominators of a semi-convergent series leading to the third Stieltjes constant gamma_3.at n=4A262387
• Triangular array of generalized Narayana Numbers T(n,k) = 3*binomial(n+1,k)* binomial(n-3,k-1)/(n+1) for n >= 2 and 0 <= k <= n-2, read by rows.at n=61A281293
• Expansion of (Sum_{k>=0} x^(k^2*(k+1)^2/4))^12.at n=50A284641
• Irregular triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with floor((n+2)/2) up movements in odd numbered positions and k returns to the x axis.at n=50A289352
• Irregular triangle read by rows: row n gives numerators of coefficients of polynomials arising from Chebyshev quadrature.at n=32A324123
• Expansion of e.g.f. Sum_{k>=1} log(1/(1 + (-x)^k/k)).at n=9A328193
• T(n, k) = binomial(n, k)*sf(n-k)*sf(k) where sf is the subfactorial (A000166). Triangle read by rows, for 0 <= k <= n.at n=49A337615
• T(n, k) = binomial(n, k)*sf(n-k)*sf(k) where sf is the subfactorial (A000166). Triangle read by rows, for 0 <= k <= n.at n=50A337615
• Numbers k for which A306927(k) [= A001615(k)-k] is a multiple of A344705(k) [= A001615(k)-A001065(k)], and their quotient is nonnegative.at n=45A344700