122850

Appears in sequences

• a(n) = n*(n+1)*(n+2)*(n+3)/4.at n=25A033487
• Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k ascents of length 4 (0<=k<=floor(n/4)). Also number of ordered trees with n edges which have k vertices of outdegree 4.at n=34A114508
• The smallest pronic (A002378) that contains the digits of n in its exact middle.at n=28A163597
• Forests of k increasing plane unary-binary trees on n nodes. Generalized Stirling numbers of the second kind associated with A185415.at n=39A185422
• Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically.at n=24A207363
• Triangle read by rows: number of idempotents of rank k in Brauer monoid B_n.at n=61A256036
• a(n) = largest k such that A049820(k) <= A262509(n).at n=30A263083
• Smallest number with middle divisors whose distance to the next number with middle divisors is n.at n=25A280295
• a(n) is the smallest k such that psi(k) = n!, or 0 if no such k exists (psi(k) = A001615(k)).at n=9A291487
• Number of nonisomorphic proper colorings of partition star graph using six colors.at n=49A297570
• Numbers that are the sum of six fourth powers in eight or more ways.at n=17A345565
• Numbers that are the sum of six fourth powers in exactly eight ways.at n=16A345820
• a(n) is the least number k that has exactly n divisors <= sqrt(k) of the form 4*j+1.at n=13A379693