-635
domain: Z
Appears in sequences
- McKay-Thompson series of class 30a for Monster.at n=19A058619
- First order recursion: a(0)=1; a(n) = sigma(1,n) - a(n-1).at n=59A083238
- Coefficients of the C-Rogers-Selberg identity.at n=47A104410
- Matrix inverse square-root of triangle A105615.at n=31A105620
- Triangle read by rows, T[n,2i-1]=2T[n-1,i],T[n,2i]=2k-1-2T[n-1,i].at n=24A138583
- Expansion of Product_{n >= 1} (1+q^(2*n-1))/((1-q^(4*n))*(1+q^(4*n-2))).at n=43A144558
- Triangle read by rows:s(n,m)=Sum[StirlingS2[n, k]*StirlingS1[n - k, m]* Binomial[n, k]*(-1)^(m - k), {k, 0, n}];t[n,m]=s[n,m]+s[n,n-m].at n=16A174555
- Triangle read by rows:s(n,m)=Sum[StirlingS2[n, k]*StirlingS1[n - k, m]* Binomial[n, k]*(-1)^(m - k), {k, 0, n}];t[n,m]=s[n,m]+s[n,n-m].at n=19A174555
- Values of n such that L(3) and N(3) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=20A226923
- Values of n such that L(4) and N(4) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=9A226924
- Values of n such that L(6) and N(6) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=4A226926
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 387", based on the 5-celled von Neumann neighborhood.at n=17A271546
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 497", based on the 5-celled von Neumann neighborhood.at n=17A272559
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood.at n=17A272563
- Triangle T(n, m) appearing in the expansion of Jacobi's elliptic function cn(u, k) divided by cos(v) in terms of the Jacobi nome q and even powers of 2*cos(v) with v = u/((2/Pi)*K(k)).at n=51A275791
- Start with 2, then successively subtract the primes 3, 5, 7, ...at n=19A282329
- Expansion of (Product_{k>0} (1 - x^k) / (1 - x^(5*k)))^5 in powers of x.at n=16A285932
- Partial alternating sums of Pillai's arithmetical function (A018804).at n=48A370895
- a(n) = A325977(A228058(n)).at n=35A389217