55200

Appears in sequences

• a(n) = n^2*(n^2 - 1)/6.at n=24A008911
• Convolution of Fibonacci F(n+1), n>=0, with F(n+10), n>=0.at n=10A067978
• Determinant of n X n matrix whose element A(i,j) is 1 if i=j, i if n=i+j and 0 otherwise.at n=9A071999
• a(n) = (n-1)(n-4)(n-9)...(n-k^2) where k^2 < n <= (k+1)^2.at n=23A080500
• Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.at n=11A097696
• Integer part of n#/((p-7)# 7#), where p=preceding prime to n.at n=49A102788
• Pentagonal numbers for which the sum of the digits is also a pentagonal number.at n=23A117709
• Pentagonal numbers for which both the sum of the digits and the product of the digits are pentagonal numbers.at n=13A117711
• Numbers n such that S(n) = 0, where S(n) = (S(n-1) + A000040(n+1))*(-1)^n; S(0)=0, n >= 1.at n=17A131693
• First differences of A171733.at n=47A171734
• Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-3.at n=20A180293
• Numbers with prime factorization pqr^2s^5.at n=25A190293
• Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 1 vertically.at n=10A208066
• Smallest pentagonal number with n prime factors (counted with multiplicity).at n=9A209049
• Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w^2>x^2+y^2.at n=30A211631
• Integer areas A of integer-sided triangles such that the length of the circumradius is a prime number.at n=29A256629
• Number of conjugacy classes of subgroups of the hyperoctahedral group.at n=6A269890
• Imaginary part of (n + i)^4.at n=24A272871
• Numbers k such that 3k - 1 divides 3^k - 1.at n=25A273614
• a(n) = (A001359(n+1)^2 - 1)/24, where A001359 = lesser of twin primes; or: pentagonal numbers (A000326) whose indices are twin ranks (A002822).at n=39A308344