-1520
domain: Z
Appears in sequences
- Reversion of g.f. for Fibonacci numbers 1, 1, 2, 3, 5, ....at n=14A007440
- Expansion of Product_{m>=1} (1+m*q^m)^-24.at n=3A022716
- Revert transform of (x - 1)^2/(1 - x - x^3).at n=9A049133
- McKay-Thompson series of class 30a for Monster.at n=23A058619
- G.f. A(x) satisfies: 2^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (2+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.at n=16A100223
- Triangle read by rows of coefficients of Chebyshev-like polynomials P_{n,3}(x) with 0 omitted (exponents in increasing order).at n=39A136389
- Coefficients of a special case of Poisson-Charlier polynomials. Triangle read by rows, T(n, k) for 0 <= k <= n.at n=22A137346
- Years in which a transit of Venus (as seen from Earth) took place or is expected to occur, according to the catalog by Fred Espenak.at n=7A171467
- a(n) = 4*a(n-1) - 6*a(n-2), with a(0)=0, a(1)=1.at n=9A190965
- a(-1) = 1 and g.f. A(x) satisfies A(x) - 1/A(x) = 1/x - 1.at n=16A214649
- Coefficient array for the third power of the monic integer Chebyshev polynomials 2*T(2*n,x/2) as a function of x^2.at n=31A219236
- Coefficient array for the powers of x^2 of the square of the even-indexed Chebyshev C polynomials.at n=45A220668
- a(n) = 1 - n^2.at n=39A258837
- First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 195", based on the 5-celled von Neumann neighborhood.at n=21A270692
- G.f.: Product_{m>0} 1/(1 + x^m + 2!*x^(2*m)).at n=21A293287
- G.f.: 1 / (1 + Sum_{k>=0} x^(2^k)).at n=43A339422
- Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386).at n=14A343773
- G.f.: Sum_{n=-oo..+oo} x^(n^2) * C(x)^(4*n-4), where C(x) = 1 + x*C(x)^2 is the g.f. of the Catalan numbers (A000108).at n=28A356778