33099

Appears in sequences

• Alkane (or paraffin) numbers l(7,n).at n=33A005994
• a(n) = (1/2)*(1 + Sum_{k=0..n} binomial(2*k, k)).at n=9A024718
• a(n) = n*(n-1)*(2*n^2 + 1)/6.at n=18A071245
• a(n) = Sum_{k=0..n} (-1)^(n-k)*binomial(k,floor(k/2)).at n=18A086905
• Triangle T(n,k) read by rows: number of lattice paths from (0,0) to (0,2n) with steps (1,1) or (1,-1) that stay between the lines y=0 and y=k.at n=46A101475
• a(n) = (n+1)*(n+2)*(n+3)*(13*n^3 + 69*n^2 + 113*n + 60)/360.at n=8A108649
• Antidiagonal sums of A096465.at n=18A124642
• Expansion of 1 / ((1 - x)^7*(1 + x)^2).at n=17A299335
• G.f. A(x) satisfies: A(x) = x + x^2 * exp(4 * Sum_{k>=1} (-1)^(k+1) * A(x^k) / k).at n=9A345245
• a(n) = Sum_{k=0..n} Stirling2(n,k) * binomial(8*k,k) / (7*k + 1).at n=5A346769
• Triangle read by rows where T(n,k) is the number of nonempty subsets of {1,...,2n-1} with median n and minimum k.at n=45A361654