40392

Appears in sequences

• Numbers that are the sum of 6 positive 9th powers.at n=15A003395
• a(n) = n*(n+5)*(n+6)*(n+7)/24.at n=27A005587
• T(2n+4,n), array T as in A055794.at n=13A055797
• a(n) = n! + n^2 + n.at n=8A066143
• a(n) = (1)*(2 + 3 + 4 + ... + n) + (1 + 2)*(3 + 4 + 5 + ... + n) + (1 + 2 + 3)*(4 + 5 + 6 + ... + n) + ... + (1 + 2 + 3 + ... + n-1)*n.at n=15A067056
• 1/3 of the number of 3-colorings of an n X n array symmetric about both diagonal and antidiagonal.at n=7A145238
• Base 4 perfect digital invariants (written in base 10): numbers equal to the sum of the k-th powers of their base-4 digits, for some k.at n=38A162219
• Numbers with prime factorization p*q*r^3*s^3 (where p, q, r, s are distinct primes).at n=18A190108
• Area A of the cyclic quadrilaterals PQRS with PQ>=QR>=RS>=SP, such that A, the sides, the radius of the circumcircle and the two diagonals are integers.at n=55A219225
• Number of n X 6 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.at n=2A233153
• T(n,k) = Number of n X k 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.at n=30A233155
• Number of 3 X n 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally or antidiagonally.at n=5A233156
• Sum of n and the sum of the factorials of its digits.at n=47A241404
• Number of nXnXn triangular 0..6 arrays with some element plus some adjacent element totalling 6+1 exactly once.at n=2A270508
• T(n,k)=Number of nXnXn triangular 0..k arrays with some element plus some adjacent element totalling k+1 exactly once.at n=30A270509
• Number of 3X3X3 triangular 0..n arrays with some element plus some adjacent element totalling n+1 exactly once.at n=5A270511
• a(n) = n*(n+1)*(n+3).at n=33A317637
• a(n) = Sum_{x_1|n, x_2|n, x_3|n, x_4|n, x_5|n} gcd(x_1,x_2,x_3,x_4,x_5).at n=29A344139
• Square array A(n, k) = A064987(A246278(n, k)), read by falling antidiagonals; A064987(n) = n*sigma(n), applied to the prime shift array.at n=40A379499
• Square array A(n, k) = A249670(A246278(n, k)), read by falling antidiagonals; A249670(n) = A017665(n)*A017666(n), applied to the prime shift array.at n=40A379500