-470

Appears in sequences

• sec(sin(x)+log(x+1))=1+4/2!*x^2-6/3!*x^3+91/4!*x^4-470/5!*x^5...at n=5A012897
• E.g.f.: sec(arcsinh(x)+log(x+1)) = 1 + 4/2!*x^2 - 6/3!*x^3 + 91/4!*x^4 - 470/5!*x^5 + ...at n=5A013079
• Expansion of Product_{m >= 1} (1 + q^m)^(-2).at n=31A022597
• Expansion of Product_{m>=1} (1+q^m)^(-15).at n=3A022610
• Coefficients of the '6th-order' mock theta function psi(q).at n=54A053269
• Triangle of numerators of coefficients of Faulhaber polynomials used for sums of even powers.at n=48A093558
• Triangle read by rows: T(0,0)=1; for n >= 1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n).at n=11A123967
• Number of partitions of n with even crank minus number of partitions of n with odd crank.at n=47A124226
• Expansion of phi(-x) * chi(-x) in powers of x where phi(), chi() are Ramanujan theta functions.at n=47A132970
• Numerator of Bernoulli(n, 4/9).at n=5A158956
• Irregular triangle read by rows: first row is 1, n-th row (n > 0) consists of the coefficients in the expansion of H(x;n)*(x + 1)^(n - 1)/2^floor(n/2), where H(x;n) is the Hermite polynomial of order n.at n=38A171531
• Triangle T(n,k) = A006130(k) - A006130(n) + A006130(n-k) read by rows.at n=40A176261
• Triangle T(n,k) read by rows: coefficient of [x^k] of the polynomial p_n(x)=(5-x)*p_{n-1}(x)-p_{n-2}(x), p_0=1, p_1=5-x.at n=11A179900
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202670 based on A000290 (the squares); by antidiagonals.at n=12A202671
• Smallest term in wrecker ball sequence starting with n.at n=13A248952
• Coefficients of the mock theta function gammabar(q).at n=59A260983
• a(0) = 0, a(n) = -5*a(n/3) if n is divisible by 3, otherwise a(n) = n + a(n-1).at n=57A318488
• Irregular triangular array read by rows: row n shows the coefficients of the following polynomial of degree n: (1/n!)*(numerator of n-th derivative of (x-2)/(1-x-x^2)).at n=55A328649
• Product_{n>=1} 1 / (1 - a(n)*x^n) = 1 + Sum_{n>=1} phi(n)*x^n, where phi = A000010.at n=19A353948
• a(n) = n - A332215(n).at n=38A364253