94395

Appears in sequences

• Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8.at n=30A050534
• Triangular numbers k*(k+1)/2 such that A068865(k) = k*(k+1)/2.at n=29A068866
• Smith triangular numbers.at n=17A098840
• Triangular numbers equal to the sum of a prime number with its index.at n=33A115886
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (-1, 1, 1), (1, 0, 0), (1, 1, -1)}.at n=10A148763
• Denominator of A285388(n+1)/A285388(n).at n=4A286398
• a(n) is the smallest triangular number that is a multiple of the product of the members of the n-th pair of twin primes.at n=4A344886
• 32*a(n) is the denominator of the squared circumradius of a cyclic quadrilateral with sides n, n+1, n+2, n+3.at n=27A351697
• Triangular numbers which are products of five distinct primes.at n=27A357590