51272

Appears in sequences

• Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635.at n=45A029643
• Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.at n=49A029665
• a(n) = binomial(n+6,6)*(2n+7)/7.at n=11A050486
• Structured hexagonal diamond numbers (vertex structure 5).at n=33A100178
• Number of partitions of n which contain their signature as a subpartition.at n=43A118052
• Convolution square of A058187, the tetrahedral series with repeats.at n=22A178440
• Antidiagonal sums of the convolution array A213828.at n=15A213830
• For every positive integer m, let u(m) = (d(1),d(2),...,d(k)) be the unitary divisors of m. The sequence (a(n)) consists of successive numbers m which d(k)/d(1) + d(k-1)/d(2) + ... + d(k)/d(1) is an integer.at n=17A229996
• G.f. A(x) satisfies: 1-x = Sum_{n>=0} (A(x) + (-x)^n)^n * (-x)^n.at n=12A247332
• a(n) = rf(n, n+2)/(n+2)! - rf(n, n)/n!, rf the rising factorial A265609.at n=9A265610
• Number of partitions of n^3 into distinct cubes > 1.at n=47A298848