-693
domain: Z
Appears in sequences
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=16A001485
- Coefficients of modular function G_2(tau).at n=46A005760
- Triangle of coefficients of Legendre polynomials P_n (x).at n=18A008316
- Triangle of coefficients of Legendre polynomials P_n (x).at n=36A008316
- Expansion of e.g.f.: cosh(log(1+sin(x))).at n=7A009123
- cosh(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...at n=7A013267
- sec(log(x+1)-sinh(x))=1+3/4!*x^4-10/5!*x^5+100/6!*x^6-693/7!*x^7...at n=7A013268
- Expansion of e.g.f. theta_3^(-7/2).at n=3A015684
- Triangle of coefficients of normalized Legendre polynomials, with increasing exponents.at n=33A100258
- Expansion of q * (psi(q^6) / psi(q^3))^3 * phi(q)^5 / psi(q) in powers of q where phi(), psi() are Ramanujan theta functions.at n=53A133739
- a(n) = A062295(n) - A133743(n).at n=38A133744
- Array read by antidiagonals: form difference table of the sequence of rationals 0, 0 followed by A001803(n)/A046161(n), then extract numerators.at n=28A242735
- Difference between sums of quadratic residues and non-residues modulo n (residues are not necessarily coprime to n).at n=65A255644
- Coefficients of mock modular form H_1^(2) of type 2A, divided by 2.at n=15A256059
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 382", based on the 5-celled von Neumann neighborhood.at n=49A271542
- Coefficients in q-expansion of (9*E_2(q^3)-E_2(q))/8.at n=54A282031
- Triangle read by rows: Riordan array (1/(1-9x)^(2/3), x/(9x-1)).at n=18A283151
- Triangle read by rows : inverse of triangle A339207.at n=61A339209
- T(n,k) are the numerators of the coefficients of the Legendre polynomials of degree n, with increasing exponents, where T(n,k) is a triangle read by rows.at n=33A356205