101270

Appears in sequences

• Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=41A000332
• Number of intersections of diagonals in the interior of a regular n-gon.at n=40A006561
• Binomial coefficient C(41,n).at n=4A010957
• Binomial coefficient C(n,37).at n=4A010990
• Partial sums of A051865.at n=38A050441
• Binomial coefficients binomial(2*n-3,4).at n=18A053126
• Binomial coefficients formed from consecutive primes: a(n) = binomial( prime(n+1), prime(n) ).at n=11A058077
• a(n) = lcm(n, n+1, n+2, n+3)/12.at n=37A067047
• Pentagonal numbers (A000326) whose digit reversal is a prime.at n=36A115707
• Triangle, read by rows, where T(n,k) = C( n*(n+1)/2 + n-k + 1, n-k), for n>=k>=0.at n=40A121335
• List of numbers that are both pentagonal (A000326) and binomial coefficients C(n,4) (A000332).at n=26A145920
• The consecutive squares of numbers multiplied by their next consecutive integer.at n=35A193608
• Antidiagonal sums of the convolution array A213828.at n=18A213830
• Pentagonal numbers which are the arithmetic mean of two consecutive primes.at n=28A234531
• Number of intersections of diagonals in the interior of a regular p-gon where p is the n-th prime.at n=12A262248
• Number of interior points that are the intersections of exactly two chords in the configuration A006561(n).at n=40A292104
• Pentagonal numbers (A000326) in which parity of digits alternates.at n=31A297644
• G.f.: Sum_{n>=0} (n+1)*(n+2)*(n+3)*(n+4)/4! * x^n * (1 + x^n)^n.at n=37A326005
• a(n) = Sum_{d|n} mu(n/d) * binomial(d,4).at n=40A346761
• Expansion of Sum_{k>0} x^(4*k)/(1-x^k)^5.at n=40A363608