51425

Appears in sequences

• Index numbers for palindromic hexagonal numbers.at n=15A054970
• Number of partitions of n into parts but with two kinds of parts of sizes 1,2,3,4,5 and 6.at n=23A103925
• Partition number array, called M32hat(-5)= 'M32(-5)/M3'= 'A144268/A036040', related to A011801(n,m)= |S2(-4;n,m)| (generalized Stirling triangle).at n=32A144341
• Number of ways two L-tiles can be placed on an n X n square.at n=19A243645
• Triangle where g.f. S = S(x,m) satisfies: S = x/(G(-S^2)*G(-m*S^2)) such that G(x) = 1 + x*G(x)^2 is the g.f. of the Catalan numbers (A000108), as read by rows of coefficients T(n,k) of x^(2*n-1)*m^k in S(x,m) for n>=1, k=0..n-1.at n=40A278880
• a(n) = (4*n+1) * ( binomial(3*n,n)/(2*n+1) )^2.at n=4A278883
• Positions of records in |A282695(n)| = |A055265(n)-n|.at n=17A282696
• Where the number of divisors d(k) reaches a new record for numbers k whose prime factors are of the form 6*j+5.at n=8A326314
• Number of double palindrome structures of length n using exactly three different symbols.at n=16A328689
• The number of regions formed inside an isosceles triangle by straight line segments mutually connecting all vertices and all points that divide the two equal length sides into n equal parts; the base of the triangle contains no points other than its vertices.at n=21A332953