-245

Appears in sequences

• Coefficients of the '2nd-order' mock theta function mu(q).at n=64A006306
• Expansion of Product_{k>=1} (1 - x^k)^15.at n=3A010822
• Revert transform of x*(1 + 2*x)/(1 + 3*x + x^2).at n=17A049122
• Coefficients of the '6th-order' mock theta function psi(q).at n=46A053269
• Number of Abelian groups of order n minus the number of non-Abelian groups of order n.at n=63A066295
• Alternating sum sigma(1)-sigma(2)+sigma(3)-sigma(4)+...+((-1)^(n+1))*sigma(n).at n=33A068762
• Euler transform of negative integers.at n=39A073592
• Expansion of (1-x)/(1-x+x^3).at n=47A078013
• Triangle of numerators of Integral_{x=0..1} LegendreP(m,x) * LegendreP(n,x) dx.at n=62A078297
• G.f. satisfies: A(x) = 1/(1 + x*A(x^5)) and also the continued fraction: 1+x*A(x^6) = [1;1/x,1/x^5,1/x^25,1/x^125,...,1/x^(5^(n-1)),...].at n=23A101915
• Expansion of g.f. -x/(1+x-x^3).at n=45A104769
• Inverse of Riordan array (1/(1-x), x/(1-x)^3), A109955.at n=17A109956
• Matrix log of triangle A111830, which shifts columns left and up under matrix 7th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=12A111833
• Triangle read by rows: a(n,m)=(2*n-1)*(n-m)*(n+m+1)/2, where n is the column and m the row index.at n=48A120476
• Triangle read by rows: a(n,m)=(2*n-1)*(n-m)*(n+m+1)/2, where n is the column and m the row index.at n=40A120476
• Coefficient table for sums of squares of Chebyshev's S-Polynomials.at n=68A128495
• Expansion of q^(-1/8)* eta(q)^5* eta(q^2)^3/ eta(q^4)^2 in powers of q.at n=55A128712
• Triangle read by rows: T(r,c)=T(r,c-1)+T(r,c+1)+T(r-1,c-1).at n=65A129394
• A007318 * A129360.at n=45A129570
• Irregular triangle read by rows: coefficients of polynomials related to a family of convolutions of certain central binomial sequences.at n=22A142961