1344904

Appears in sequences

• Figurate numbers or binomial coefficients C(n,6).at n=34A000579
• Binomial coefficient C(2n,n-11).at n=6A004317
• Binomial coefficient C(34,n).at n=6A010950
• Binomial coefficient C(n,28).at n=6A010981
• a(n) = binomial(n, floor(n/5)).at n=34A051052
• Binomial coefficients C(2*n+6,6).at n=14A053135
• a(n) = binomial(n, round(sqrt(n))).at n=34A055789
• Triangle, read by rows, where T(n,k) = C(n*(n-1)/2-k*(k-1)/2+n-k+1,n-k).at n=38A107867
• Triangle, read by rows, where T(n,k) = C( n*(n+1)/2 + n-k, n-k), for n>=k>=0.at n=29A121334
• a(n) = binomial(5*n,n)/5.at n=6A163456
• Triangle T(n, k) = binomial(n*(n+1)/2 + k, k), read by rows.at n=42A176566
• a(n) = lcm(n,n+1,n+2,n+3,n+4,n+5)/60.at n=29A189046
• a(n) = lcm(n,n+1,n+2,n+3,n+4,n+5,n+6)/420.at n=28A189144
• a(n) = lcm(n,n+1,n+2,n+3,n+4,n+5,n+6)/420.at n=29A189144
• a(n) = 7*binomial(4*n + 7, n)/(4*n + 7).at n=7A233658
• Number of sequences of 5 throws of an n-sided die (with faces numbered 1, 2, ..., n) in which the sum of the throws first reaches or exceeds n on the 5th throw.at n=30A264750
• Expansion of Product_{k>=1} ((1 + x^k) / (1 - x^(5*k)))^k.at n=30A285459
• Number of n-member subsets of [5*n] whose elements sum to a multiple of five.at n=7A318593
• Number of 7-member subsets of [7*n] whose elements sum to a multiple of n.at n=5A318628
• Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+5,6).at n=28A344206