87075
domain: N
Appears in sequences
- Reversion of g.f. for Fibonacci numbers 1, 1, 2, 3, 5, ....at n=22A007440
- Card-matching numbers (Dinner-Diner matching numbers).at n=25A059062
- Card-matching numbers (Dinner-Diner matching numbers).at n=42A059066
- 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=24A100223
- a(n) = (2*n-1)*(2*n+1)^2.at n=21A102094
- Number of (w,x,y,z) with all terms in {1,...,n} and w<=2x and y>=3z.at n=29A212515
- a(-1) = 1 and g.f. A(x) satisfies A(x) - 1/A(x) = 1/x - 1.at n=24A214649
- Excess of the number of even Motzkin n-paths (A107587) over the odd ones (A343386).at n=22A343773
- Numbers that are the sum of six fourth powers in seven or more ways.at n=29A345564
- Numbers that are the sum of six fourth powers in exactly seven ways.at n=27A345819