A035334 a(n) = smallest number which is not the sum of exactly 1 or a(n-1) earlier terms.

1, 2, 5, 3, 14, 4, 39, 6, 119, 7, 352, 8, 706, 9, 2104, 10, 4209, 11, 8419, 12, 24552, 13, 49106, 15, 188594, 16, 524494, 17, 1933822, 18, 5605163, 19, 15069555, 20

Offset

1,2

Links

Table of n, a(n) for n=1..34.

Sean A. Irvine, Java program (github)

Example

a(5)=14 since all earlier numbers are either in list (1,2,3,5) or the sum of 3 terms from list (4=1+1+2, 6=2+2+2, ..., 12=2+5+5, 13=3+5+5).

Crossrefs

Cf. A055456.

Sequence in context: A028415 A211306 A267101 * A243506 A341351 A285742

Adjacent sequences: A035331 A035332 A035333 * A035335 A035336 A035337

Keyword

nonn,more

Author

Erich Friedman

Extensions

a(9)-a(16) from Henry Bottomley, May 19 2000

a(17)-a(26) from Larry Reeves (larryr(AT)acm.org), May 08 2001

a(27)-a(32) from Sean A. Irvine, Oct 07 2020

a(33)-a(34) from Michael S. Branicky, Dec 06 2024

Status

approved