-153

Appears in sequences

• Coefficients of modular function G_4(tau).at n=14A005762
• McKay-Thompson series of class 6a for Monster.at n=2A007260
• Expansion of E.g.f. cos(sin(sin(x))), even powers only.at n=3A009037
• Stirling numbers of first kind S1(18,n).at n=16A011528
• Expansion of Product_{m>=1} (1-m*q^m)^17.at n=3A022677
• Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^6.at n=8A029843
• Matrix 9th power of inverse partition triangle A038498.at n=37A050312
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3.at n=44A060022
• 1 + Sum_{n>=1} a_n x^n = 1/Product_{n>=1} (1+x^n)^prime(n).at n=15A061151
• Expansion of (1-x)^(-1)/(1-x+2*x^3).at n=14A077870
• Expansion of (1-x)/(1+2*x+x^2+2*x^3).at n=7A078066
• Alternating sum of squares to n.at n=16A089594
• Series expansion of the Ramanujan-Goellnitz-Gordon continued fraction.at n=73A092869
• G.f. satisfies: A(x) = 1/(1 + x*A(x^6)) and also the continued fraction: 1+x*A(x^7) = [1;1/x,1/x^6,1/x^36,1/x^216,...,1/x^(6^(n-1)),...].at n=41A101916
• Expansion of x*(1-x)/(1-x+2*x^3-x^4).at n=27A104554
• G.f. satisfies x = A(x)*(1+A(x))/(1-A(x)-(A(x))^2).at n=11A108624
• Inverse binomial transform of number-theoretic triangle A109974.at n=51A109978
• a(n) = sum( (-1)^(r+1)*(n-r)*r, r = 1..floor(n/2) ).at n=34A110422
• Sequence is {a(3,n)}, where a(m,n) is defined at sequence A110665.at n=17A110668
• Sum(mu(i)*phi(j): i+j=n), with mu=A008683 and phi=A000010.at n=73A112962