-912

Appears in sequences

• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=37A006352
• a(n) = A023194 - A062700(n). Negative values of A071166(m) = m-A006530(A000203(m)) differences. In these cases m is square number from A023194.at n=36A071167
• Expansion of (1-x)^(-1)/(1+2*x+x^2+x^3).at n=13A077930
• Expansion of theta_4(q)^4 - theta_2(q)^4, where theta_2 and theta_4 are the Jacobi theta series.at n=37A103640
• a(n) = 13 + 12*n - n^2.at n=37A136316
• Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,3}(x) with 0 omitted (exponents in increasing order).at n=52A136389
• Riordan array ((1+x^2)/(1-x)^2, -x/(1-x)^2).at n=39A136672
• Expansion of phi(-q) / phi(-q^5) in powers of q where phi() is a Ramanujan theta function.at n=66A138527
• A triangular sequence of coefficients of a truncated quotient (remainder dropped) of the ChebyshevT polynomials T(x,n) by the Cyclotomic polynomials c(x,n): p(x,n)=Quotient(T(x.n)/c(x,n)).at n=27A140723
• Riordan's general Eulerian recursion: T(n, k) = (k+2)*T(n-1, k) + (n-k-1) * T(n-1, k-1) with T(n,1) = 1, T(n,n) = (-1)^(n-1).at n=22A157013
• Years in which a transit of Venus (as seen from Earth) took place or is expected to occur, according to the catalog by Fred Espenak.at n=18A171467
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 195", based on the 5-celled von Neumann neighborhood.at n=17A270692
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 243", based on the 5-celled von Neumann neighborhood.at n=17A271003
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 249", based on the 5-celled von Neumann neighborhood.at n=21A271015
• Expansion of phi(x)^6 * phi(-x)^2 in powers of x where phi() is a Ramanujan theta function.at n=8A291124
• Triangle of numbers read by rows: T(n,k) = Sum_{i=0..n} binomial(n,i)*(n-i)!*Stirling1(i,k)*TC(n,i) where TC(n,k) = Sum_{i=0..n-k} binomial(n+1,n-k-i)*Stirling2(i+3,i+1)*(-1)^(i) for n >= 0, 0 <= k <= n.at n=37A370518