73112

Appears in sequences

• a(n) = n*(n+5)*(n+6)*(n+7)/24.at n=32A005587
• a(n) = floor( n*(n-1)*(n-2)*(n-3)/27 ).at n=39A011937
• a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=40A011940
• Denominator of sum of reciprocals of first n 5-simplex numbers A000389.at n=35A118432
• If X_1, ..., X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 3-subsets of X containing none of X_i, (i=1,...,n).at n=36A130809
• a(n) = C(2*2^n + 2*n, n)*2^n/(2^n + n); a(n) = coefficient of x^n in Catalan(x)^(2*2^n).at n=4A136552
• Number of 2 X n 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s.at n=17A297432
• Sum of the largest parts in the partitions of n into 7 parts.at n=44A308933