-329
domain: Z
Appears in sequences
- Expansion of Product_{n>=1} (1 - x^n)^7.at n=41A000730
- Bessel polynomial y_n(-1).at n=5A000806
- McKay-Thompson series of class 36B for the Monster group.at n=67A062244
- Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=29A074170
- Write exp(sqrt(1+x)-1) = Sum c(n) x^n/n!; then a(n) = numerator of c(n).at n=6A101683
- Coefficients of the B-Bailey Mod 9 identity.at n=56A104468
- Alternating sum of diagonals in A060177.at n=38A104575
- Expansion of q^(-1) * (phi(q) / phi(q^9) - 1) / 2 in powers of q^3 where phi() is a Ramanujan theta function.at n=33A128111
- Triangle read by rows: T(n,k) is the coefficient [x^k] of (-1)^n times the characteristic polynomial of the Cartan matrix for the root system D_n.at n=31A129862
- Triangle of coefficients of characteristic polynomials of a special type of Cartan matrix: E_n for E_6,E_7,E_8,E_11 example M(6)/ E_6: {{2, -1, 0, 0, 0, 0}, {-1, 2, -1, 0, 0, 0}, {0, -1, 2, -1, 0, -1}, {0, 0, -1, 2, -1, 0}, {0, 0, 0, -1, 2, 0}, {0, 0, -1, 0, 0, 2}},.at n=31A136600
- Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 8, read by rows.at n=11A156602
- Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 8, read by rows.at n=13A156602
- Numerator of Hermite(n, 7/8).at n=3A159028
- Numerator of Hermite(n, 3/26).at n=2A160070
- Numerator of Hermite(n, 11/30).at n=2A160293
- a(n) = (-n^5 + 15*n^4 - 65*n^3 + 125*n^2 - 34*n + 40)/40.at n=11A161713
- Expansion of (chi(q) / chi^3(q^3))^2 in powers of q where chi() is a Ramanujan theta function.at n=16A164614
- Expansion of c(q^2)^2 / (c(-q) * c(-q^3)) in powers of q where c() is a cubic AGM theta function.at n=50A164615
- Expansion of c(q^2)^2 / (c(q) * c(q^3)) in powers of q where c() is a cubic AGM theta function.at n=50A182034
- a(n) = Fibonacci(n) * Sum_{d|n} -(-1)^(n/d) / Fibonacci(d).at n=11A203802