37180

Appears in sequences

• Distinct even elements in 4-Pascal triangle A028275 (by row).at n=42A028282
• Even elements to right of central elements in 4-Pascal triangle A028275.at n=31A028286
• Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635.at n=36A029643
• Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.at n=43A029665
• a(0) = 1; for n > 0, a(n) = binomial(n, floor(n/2)) + binomial(n-1, floor(n/2)).at n=17A050168
• Partial sums of A051946.at n=9A050484
• a(n) = C(n)*(3n+2) where C(n) = Catalan numbers = A000108.at n=8A051960
• a(n) = binomial(n+7, 7)*(n+4)/4.at n=9A053347
• Tenth column of (1,5)-Pascal triangle A096940.at n=7A096947
• Numbers n such that 9*10^n + 6*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=21A103104
• Number of orbits of the 5-step recursion mod n.at n=23A106287
• Triangle read by rows: T(n, m) = binomial(n + m - 3, m - 1)*(2 * m + n - 2) / m, for n>=1 and 1<=m<=n.at n=53A177851
• Number of partitions of n+5 with largest inscribed rectangle having area <= n.at n=35A218626
• Triangle read by rows: number of (1-2-3)-avoiding permutations on n letters with k peaks.at n=41A236406
• a(n) = 2*n^3 + 3*n^2.at n=26A275709
• Sum of the squarefree parts of the partitions of n into 8 parts.at n=35A309484
• a(n) is the smallest number which can be represented as the sum of 4 distinct nonzero tetrahedral numbers in exactly n ways, or -1 if no such number exists.at n=29A374809