-439

Appears in sequences

• McKay-Thompson series of class 30G for the Monster group.at n=41A058618
• a(n) = prime(n)-n*tau(n) where tau(n) is the number of divisors of n.at n=59A067292
• Expansion of (1 - x)/(1 + x - x^2 + 2*x^3).at n=9A078043
• G.f. satisfies x = A(x)*(1+A(x))/(1-A(x)-(A(x))^2).at n=15A108624
• Triangle read by rows: T[n, m] = Sum[m^3 - 3*m^2*k + 3*m*k^2 - k^3, {k, 0, n - 1}] + m^4.at n=37A121721
• Expansion of q^(-3/8)* eta(q)^7* eta(q^4)^2/ eta(q^2)^3 in powers of q.at n=55A128713
• Expansion of q^(-1) * chi(-q)^2 * chi(-q^15)^2 / (chi(-q^3) * chi(-q^5)) in powers of q where chi() is a Ramanujan theta function.at n=41A133098
• McKay-Thompson series of class 30G for the Monster group with a(0) = -1.at n=41A135213
• Expansion of (1-5*x-x^2+x^3)/((1+x)*(1-x)^3).at n=20A141354
• Expansion of q * chi(q^3) * chi(q^5) / (chi(q) * chi(q^15))^2 in powers of q where chi() is a Ramanujan theta function.at n=19A145786
• a(n) = 1 if n=0, otherwise Sum_{k=0..floor((n-1)/2)} binomial(n-k-1, k) *(-1)^k*a(n-1-2k).at n=11A172385
• a(n) = A174817(n) - Mnr; where Mnr = A001228(26) = 808017424794512875886459904961710757005754368000000000, also called the Monster number, cf. A003131.at n=8A174818
• a(n)=1-4*n-4*n^2.at n=10A184882
• Imbalance of the sum of largest parts of all partitions of n.at n=17A194809
• G.f. satisfies: A(x) = exp( Sum_{n>=1} A(-x^n)^3 * x^n/n ).at n=6A200402
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A203003; by antidiagonals.at n=10A203004
• Expansion of q^(-1) * f(-q^2, -q^7) * f(-q^4, -q^5) / f(-q, -q^8)^2 in powers of q where f() is Ramanujan's two-variable theta function.at n=51A245421
• Expansion of q^(-1) * f(-q^4, -q^5)^2 / (f(-q, -q^8) * f(-q^2, -q^7)) in powers of q where f() is Ramanujan's two-variable theta function.at n=51A245424
• Hankel determinants of order n for the sequence A189718.at n=13A261817
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 65", based on the 5-celled von Neumann neighborhood.at n=11A270086