123410

Appears in sequences

• Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=43A000332
• Number of intersections of diagonals in the interior of a regular n-gon.at n=42A006561
• Binomial coefficient C(43,n).at n=4A010959
• Binomial coefficient C(n,39).at n=4A010992
• Binomial coefficients binomial(2*n-3,4).at n=19A053126
• a(n) = lcm(n, n+1, n+2, n+3)/12.at n=39A067047
• List of numbers that are both pentagonal (A000326) and binomial coefficients C(n,4) (A000332).at n=27A145920
• Number of different fixed (possibly) disconnected tetrominoes bounded tightly by an n X n square.at n=12A163434
• Number of nX1 0..3 arrays with exactly floor(nX1/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order.at n=11A222604
• Number of nX2 0..3 arrays with exactly floor(nX2/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=5A222741
• T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..3 order.at n=26A222747
• Doubly pentagonal numbers: a(n) = n*(3*n-2)*(3*n-1)*(3*n+1)/8.at n=14A232713
• Number of intersections of diagonals in the interior of a regular p-gon where p is the n-th prime.at n=13A262248
• Number of interior points that are the intersections of exactly two chords in the configuration A006561(n).at n=42A292104
• Pentagonal numbers (A000326) in which parity of digits alternates.at n=32A297644
• a(n) = Sum_{i+j<=m+1} t_i * t_j, where t_1 < ... < t_m are the totatives of n.at n=40A341063
• a(n) = Sum_{d|n} mu(n/d) * binomial(d,4).at n=42A346761
• Concatenation of first n numbers in base 5.at n=4A362117
• Expansion of Sum_{k>0} x^(2*k)/(1-x^k)^5.at n=40A363605
• Expansion of Sum_{k>0} x^(4*k)/(1-x^k)^5.at n=42A363608