79360

Appears in sequences

• Expansion of e.g.f.: tan(x)*(1+x).at n=10A009725
• Expansion of e.g.f. tan(x)*x (even powers only).at n=5A009752
• Expansion of e.g.f. x * (tan(x) + sec(x)).at n=9A065619
• Numbers k that divide tau(k)*sigma(k).at n=45A071707
• a(n) = sigma() [A000203] applied n times to prime(n).at n=10A101303
• Number of ways to change three non-identical letters in the word aabbccdd..., where there are n types of letters.at n=30A102860
• Triangle read by rows, T(n,k) = binomial(n,k)*A000111(n-k), 0 <= k <= n.at n=56A109449
• E.g.f.: 2*x/(1+exp(-2*x)).at n=10A109573
• Number of permutations of 1..n arranged in a circle with exactly 5 local maxima.at n=10A159713
• Triangle read by rows: coefficients of the complementary Swiss-Knife polynomials.at n=56A162660
• Triangle read by rows: k-th "a-number" of star graph K_{1,n-1}.at n=41A220901
• Number T(n,k) of permutations of [n] with exactly k (possibly overlapping, cyclic wrap-around) occurrences of the consecutive step pattern UDU (U=up, D=down); triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows.at n=35A232933
• Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=3A237318
• Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237320
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=11A237324
• T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the minimum minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=13A237324
• a(n) = n*4^n*(-Z(1-n, 1/4)/2 + Z(1-n, 3/4)/2 - Z(1-n, 1)*(1 - 2^(-n))) for n > 0 and a(0) = 0, where Z(n, c) is the Hurwitz zeta function.at n=10A243963
• a(1) = 16, a(n) = sigma(a(n-1)).at n=12A257349
• Triangle read by rows: T(n,k) (n>=0, 0<=k<=floor(n/2)) is the number of permutations of n and k valleys (considered cyclically).at n=35A263789
• Number of equidistributed binary strings of length n.at n=32A264695