36306

Appears in sequences

• Number of 1's in n-th term of A022470.at n=39A022472
• Number of partitions of n into 9 unordered relatively prime parts.at n=48A023029
• Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=41A035986
• James Joyce's "Ulysses" sequence: number of digits in n^(n^n).at n=6A054382
• Sum of next n even interprimes.at n=18A075675
• Expansion of (c(q^2)/c(q))^3 in powers of q where c() is a cubic AGM theta function.at n=29A123633
• Expansion of 3 * (b(q^2)^2 / b(q)) / (c(q)^2 / c(q^2)) in powers of q where b(), c() are cubic AGM theta functions.at n=30A128636
• Largest integer terms forming a self-convolution cube-root of a sequence (A132835) such that: A132835(n) <= 3*A132835(n-1) for n>0 with A132835(0)=1.at n=12A132836
• Expansion of q * (psi(-q^3) * psi(q^6)) / (psi(-q) * phi(-q)) in powers of q where phi(), psi() are Ramanujan theta functions.at n=19A187100
• a(n) = [x^n] 2/(3*x + sqrt((1 - 3*x)*(x + 1)) + 1).at n=15A344507
• G.f. A(x) satisfies: 3 = Sum_{n=-oo..oo} (-x)^(n*(n+1)/2) * A(x)^(n*(n-1)/2).at n=4A354663