38965

Appears in sequences

• a(0)=1, a(n)=2^n+n^2-2*a(n-1).at n=18A082384
• Triangle read by rows: T(n,k) (0 <= k <= ceiling(n/2)-2) is the number of (1,1) steps starting at level k in all peakless Motzkin paths of length n (can be easily translated into RNA secondary structure terminology).at n=43A110238
• An oscillating sequence: a(n) = n^2 + 2^(n-1) - 2*a(n-1), n>0, with a(1) = 1.at n=18A238315
• The bisection of A238315 that remains constant with changes in the offset of the exponent of the second term.at n=9A239367
• Lengths of largest face diagonal in primitive Euler bricks or Pythagorean cuboids: possible values of max(d, e, f) for solutions to a^2 + b^2 = d^2, a^2 + c^2 = e^2, b^2 + c^2 = f^2 in coprime positive integers a, b, c, d, e, f.at n=39A306120