A178598 a(n) is the smallest integer such that the geometric mean of the first n terms is >= n.

1, 4, 7, 10, 12, 14, 18, 20, 23, 26, 29, 31, 34, 36, 40, 42, 45, 47, 50, 53, 56, 59, 61, 64, 66, 69, 72, 75, 78, 80, 83, 85, 89, 91, 93, 97, 99, 102, 105, 107, 110, 113, 115, 119, 121, 123, 127, 129, 132, 134, 137, 140, 143, 145, 149, 150, 154, 156, 159, 162, 165, 167

Offset

1,2

Comments

a(n) is approximately e * n, but the growth is a bit irregular.

Links

Table of n, a(n) for n=1..62.

Prog

(PARI) al(n)=local(r, t); vector(n, k, if(k==1, r=t=1, r*=(t=ceil(k^k/r)); t))

Crossrefs

Cf. A178599.

Sequence in context: A310674 A104036 A214641 * A310675 A176292 A050173

Adjacent sequences: A178595 A178596 A178597 * A178599 A178600 A178601

Keyword

nonn

Author

Franklin T. Adams-Watters, May 30 2010

Status

approved