50116

Appears in sequences

• Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=33A002492
• Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.at n=17A007083
• Binomial coefficients C(n,65).at n=3A017729
• Binomial coefficients C(68,n).at n=3A017784
• a(n) = (prime(n)-3)*(prime(n)-5)*(prime(n)-7)/48.at n=32A030003
• a(n) = (prime(n) - 1)*(prime(n) - 3)*(prime(n) - 5)/48.at n=31A030004
• 1/6 of product of three numbers: n-th prime, previous and following number.at n=18A127920
• Tetrahedral numbers k*(k+1)*(k+2)/6 such that exactly one of k, k+1, and k+2 is prime.at n=37A144521
• The number of inequivalent ways to color the vertices of a regular octahedron using at most n colors.at n=10A198833
• Number of -n..n arrays x(0..3) of 4 elements with zero sum and elements alternately strictly increasing and strictly decreasing.at n=27A200058
• Number of arrays of 6 nondecreasing integers in -n..n with sum zero and equal numbers greater than zero and less than zero.at n=18A203293
• a(n) = binomial(3*n+2,3).at n=21A228888
• Number of partitions p of n such that the number of parts is a part or max(p) - min(p) is a part.at n=49A241386
• p-INVERT of (1,0,1,0,0,0,0,...), where p(S) = (1 - S)(1 - S^2).at n=23A291740
• G.f.: Product_{m>0} (1 - x^m + 2!*x^(2*m) - 3!*x^(3*m) + 4!*x^(4*m) - 5!*x^(5*m)).at n=23A293257
• Expansion of 1/(1 - x*(1+x)^2)^2.at n=12A362126
• Symmetric difference of the primitive non-deficient numbers and the primitive Zumkeller numbers.at n=15A378538
• Numbers that are primitive Zumkeller, but not primitive non-deficient.at n=12A378657