-194
domain: Z
Appears in sequences
- Image of partition numbers (A000041) under "little Hankel" transform that sends [c_0, c_1, ...] to [d_0, d_1, ...] where d_n = c_n^2 - c_{n+1}*c_{n-1}.at n=12A056222
- McKay-Thompson series of class 14b for Monster.at n=51A058506
- McKay-Thompson series of class 30c for Monster.at n=55A058624
- McKay-Thompson series of class 46A for the Monster group.at n=57A058688
- Inverse of the Delannoy triangle.at n=24A103136
- Riordan array ((1-x+sqrt(1+6*x+x^2))/2, (sqrt(1+6*x+x^2)-x-1)/2).at n=32A112477
- Expansion of chi(-q) / chi(-q^7) in powers of q where chi() is a Ramanujan theta function.at n=71A113297
- Expansion of f(-q)^2*P(q) in powers of q.at n=8A122163
- Triangle read by rows: T(r,c)=T(r,c-1)+T(r,c+1)+T(r-1,c-1).at n=65A129396
- McKay-Thompson series of class 46A for the Monster group with a(0) = -1.at n=57A132322
- Triangle read by rows: T(n, k) = 2^k - binomial(n+1, k+1) - ((2*k-n)/(k+1)) * binomial(n+1, k).at n=39A156864
- Numerator of Hermite(n, 6/13).at n=2A159498
- Numerator of Hermite(n, 8/15).at n=2A159517
- Expansion of (1+3*x^2)/(1+x)^2.at n=49A161718
- G.f. A(x) satisfies: [x^n] A(x)^((n+1)^2) = 0 for n>1 with a(0)=a(1)=1.at n=4A171791
- Expansion of (f(x) * f(x^3))^3 in powers of q where f() is a Ramanujan theta function.at n=51A209939
- Expansion of psi(-x)^2 * f(-x^4)^6 in powers of x where psi(), f() are Ramanujan theta functions.at n=49A225564
- The y-axis intercept of the line y = n*x + b tangent to the curve y = prime(k), k = 1, 2, 3, ....at n=6A232879
- Expansion of Product_{k>=1} (1 + x^(4*k))/(1 + x^k).at n=39A261734
- a(n) = nearest integer to n^2 * sin(sqrt(n)).at n=16A274088