312480

Appears in sequences

• Expansion of e.g.f. x^4*exp(x)^2 - 2*x^4*exp(x) + x^4.at n=10A052793
• Triangle of coefficients of Gandhi polynomials.at n=33A058942
• Number of closed walks of length n on a 3 X 3 X 3 Rubik's Cube.at n=7A061713
• Numbers k such that phi(k) = Sum_{d|k} core(d) where core(x) is the squarefree part of x (A007913).at n=25A074786
• a(n) = binomial(n+2,2)*binomial(n+6,2).at n=30A104473
• Sigma(A033631(n)) {sigma is the sum of divisors function A000203}.at n=33A115619
• Smallest number having exactly n divisors that are contained in its decimal representation.at n=15A155005
• A binomial sum of powers related to the Bernoulli numbers, triangular array, read by rows.at n=33A162508
• Triangle T(n,k), read by rows, given by (2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,...) DELTA (2,1,3,2,4,3,5,4,6,5,7,6,8,7,9,...) where DELTA is the operator defined in A084938.at n=33A199400
• Triangle read by rows, T(n,k) (n>=0, 0<=k<=n) coefficients of the partial fraction decomposition of rational functions generating the columns of A247498 (the Swiss-Knife polynomials evaluated at nonnegative integers).at n=42A247501
• Triangular array T(n,k) = k Sum_{j=0..k-1} (-1)^j binomial(k-1,j) (n-1-j)^(n-1), 1<=k<=n, read by rows.at n=33A281485
• Bi-unitary harmonic numbers.at n=33A286325
• Numbers n having a proper divisor d such that sigma(n) - k*d = k*n. Case k = 4.at n=28A291458
• Primitive 4-abundant numbers: Numbers k such that sigma(k) > 4k (A068404) all of whose proper divisors d are 4-deficient numbers (having sigma(d) < 4d).at n=25A307114
• Expansion of 30*x*(1 + x) / (1 - x)^4.at n=30A316459
• Triangular array read by rows. T(n,k) is the number of nilpotent n X n matrices over GF(2) with index k, 1 <= k <= n, n >= 1.at n=13A346214
• Bi-unitary arithmetic numbers k whose mean bi-unitary divisor is a bi-unitary divisor of k.at n=20A361787
• Primitive terms of A023198: numbers k with the property sigma(k)/k >= 4 that are not divisible by any other number with that property.at n=27A392936