45771

Appears in sequences

• a(n) = Sum_{ d|n } sigma(n/d)*d^4.at n=13A027848
• Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,3.at n=5A037580
• Base 4 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0.at n=7A037625
• a(n) = (n+1)(n+2)(n+3)(2n+3)(10n^2 + 27n + 20)/360.at n=8A108673
• Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=4A258520
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=16A258522
• T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two sums of the central column and central row nondecreasing horizontally and vertically.at n=19A258522
• E.g.f.: exp(-4) * Sum_{n>=0} (exp(n*x) + 3)^n / n!.at n=4A326435