349440

Appears in sequences

• Expansion of (1+2x)/(1-2x)^4 (E.g.f.).at n=5A014484
• Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n, having k ascents of length at least 2 (1 <= k <= floor(n/2), n >= 2).at n=44A114593
• a(n) = binomial(n+3,4)*4^4.at n=11A120054
• Expansion of x^4*(1 - x)^2*(1 - 3*x^2 - 2*x^3 + x^4 - x^5)/(1 - 2*x)^3.at n=19A192886
• 9-quantum transitions in systems of N >= 9 spin 1/2 particles, in columns by combination indices.at n=18A213351
• 10-quantum transitions in systems of N >= 10 spin 1/2 particles, in columns by combination indices.at n=13A213352
• n-th derivative of (((x^x)^x)^x)^x at x=1.at n=7A215706
• Seventh derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways.at n=8A215837
• Numbers other than prime powers divisible by the sum and the sum of squares of their prime divisors.at n=9A268417
• Determinant of n X n matrix whose main diagonal consists of the first n 8-gonal numbers and all other elements are 1's.at n=4A302912
• a(n) = 288*n^2 - 96*n (n>=1).at n=34A305073
• Numbers n for which A034448(n)-n is equal to n-A048250(n).at n=4A325963
• Triangle read by rows, T(n, k) (0 <= k <= n) = (-m)^(n-k)*[x^k] KummerU(-n, 1/m, x) for m = 3.at n=22A331331
• G.f. A(x) satisfies A(x) = 1 + x + x*A(x)^4.at n=7A366267
• a(n) = Sum_{i+j+k+l=n, i,j,k,l >= 1} sigma(i)*sigma(j)*sigma(k)*sigma(l).at n=16A374977