42150

Appears in sequences

• a(n) = 60*n^2 + 180*n + 150.at n=24A069477
• Third differences of fifth powers (A000584).at n=27A101096
• Expansion of g.f.: (1+x+x^2)/(1-5*x-5*x^2).at n=6A123887
• Triangle read by rows: T(n,k) is the number of set partitions of {1,2,...,n} (or of any n-set) having k blocks of even size (0<=k<=floor(n/2)).at n=32A124322
• Array T(n,k) counting words with n letters drawn from a k-letter alphabet with no letter appearing thrice in a 3-letter subword.at n=60A265584
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 825", based on the 5-celled von Neumann neighborhood.at n=33A273581
• a(n) is the index of the partition that contains the divisors of n in the list of colexicographically ordered partitions of the sum of the divisors of n.at n=19A299773
• Records in A299773.at n=10A316916
• Number of reversed integer partitions of 2n whose skew-alternating sum is 0.at n=28A357640
• a(n) = Sum_{k=0..floor(n/2)} binomial(n+k-1,k) * binomial(n+3*k-1,n-2*k).at n=8A387617