A083508 Number of distinct products i*j*k with 1 <= i < j <= k <= n.

0, 0, 2, 7, 16, 24, 40, 56, 77, 96, 137, 158, 214, 249, 284, 322, 418, 464, 583, 645, 708, 774, 946, 1007, 1125, 1220, 1330, 1420, 1685, 1768, 2069, 2203, 2346, 2492, 2658, 2750, 3166, 3362, 3553, 3675, 4183, 4344, 4909, 5129, 5327, 5575, 6252, 6432, 6849

Offset

1,3

Links

Table of n, a(n) for n=1..49.

Prog

(PARI) for(n=1, 100, s=Set(); for(i=1, n-2, for(j=i+1, n-1, for(k=j, n, p=i*j*k; if(!setsearch(s, p), s=setunion(s, Set(p)))))); print1(length(s), ", ")) \\ Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 06 2006

Crossrefs

Cf. A027430, A100435.

Sequence in context: A041341 A296857 A229595 * A048231 A357577 A070169

Adjacent sequences: A083505 A083506 A083507 * A083509 A083510 A083511

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Better definition and more terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Oct 06 2006

Status

approved