83600

Appears in sequences

• a(n) = n^3 + (n+1)^3 + (n+2)^3 + (n+3)^3.at n=26A027603
• Numbers k such that k and k^2 use only the digits 0, 3, 6, 8 and 9.at n=47A136945
• Let J_n be an n X n matrix which contains 1's only, I = I_n be the n X n identity matrix, and P = P_n be the incidence matrix of the cycle (1,2,3,...,n). Then a(n) is the number of (0,1,2) n X n matrices A <= 2(J_n - I - P) with exactly one 1 and one 2 in every row and column.at n=4A174580
• Number of -n..n arrays x(0..5) of 6 elements with zero sum, adjacent elements differing by more than one, and elements alternately increasing and decreasing.at n=7A200195
• The denominators of Zagier's modification of the Bernoulli numbers.at n=19A216923
• Series reversion of (sqrt(1+4*x) - 1)/2 - x^2.at n=8A229042
• Number of 2 X 2 matrices with entries in {0,1,...,n} and even trace with no entries repeated.at n=21A280056
• Number x = concat(MSD(x),b) such that MSD(x)*b = phi(x), where MSD(x) is the Most Significant Digit of x and phi(x) is the Euler totient function of x.at n=38A286130
• Numbers k such that s(k) = s(k+1), where s(k) is the unitary analog of the alternating sum-of-divisors function (A307037).at n=24A333408
• Partition the integers from 1 to n into three groups with consecutive numbers, then a(n) is the maximum value of the sum of the numbers in the second group multiplied by the minimum of the sum of the numbers in the first and third groups.at n=37A342713
• Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(x) / (1 + x*exp(2*x)) ).at n=7A379701