-1050

Appears in sequences

• Expansion of e.g.f.: sech(sec(x)*log(x+1))=1-1/2!*x^2+3/3!*x^3-18/4!*x^4+60/5!*x^5...at n=7A012779
• cos(arctanh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3-19/4!*x^4+20/5!*x^5...at n=7A013160
• Ramanujan's function F_7(q).at n=35A064512
• Expansion of -x*(-1+5*x+8*x^2-11*x^3+3*x^4)/(1-6*x-4*x^2+24*x^3-6*x^4-4*x^5+x^6).at n=9A107476
• a(n) = -n^2 - n + 72.at n=33A110678
• Triangle T, read by rows, such that the matrix square, T^2, forms a simple 2-diagonal triangle where [T^2](n,n) = 1 and [T^2](n+1,n) = 2*(n+1) for n>=0.at n=40A113278
• Lower triangular array T(n,k) generator for group of arrays related to A001147 and A102625.at n=40A132382
• Triangular sequence of coefficients from the expansion of p(x,t)=Cos(x*t)/Cos(t).at n=36A137562
• Production array of A122848, read by row.at n=49A154557
• Triangle read by rows. Signed version of A008277.at n=32A154959
• Triangle, read by rows, T(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k-j)!*j!).at n=14A176092
• Expansion of q^(-1) * f(-q^3) * phi(-q^3) / (phi(-q^2) * psi(-q^9)) in powers of q where f(), phi(), psi() are Ramanujan theta functions.at n=27A186115
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the Fibonacci self-fusion matrix (A202453).at n=32A202605
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A115263 based on (1,2,3,4,...); by antidiagonals.at n=23A202673
• Triangle read by rows: row n is the expansion of x^n in terms of (x+k)!/x! for decreasing k.at n=31A213735
• Expansion of f(-x, -x^4) / f(x, x^4) in powers of x where f(,) is Ramanujan's two-variable theta function.at n=53A215594
• Triangle read by rows, inverse Bell transform of second order Bell numbers (A187761).at n=41A264431
• Triangle read by rows, inverse Bell transform of the third-order Bell numbers, T(n,k) for n >= 0 and 0 <= k <= n.at n=41A264434
• Expansion of chi(q^3) / chi^3(q) in powers of q where chi() is a Ramanujan theta function.at n=13A294387
• A number triangle T(n,k) read by rows for 0<=k<=n, related to the Taylor expansion of f(u, p) = (1/2)*(1+1/(sqrt(1-u^2)))*exp(p*sqrt(1-u^2)).at n=16A305402