-153
domain: Z
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