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A035334
a(n) = smallest number which is not the sum of exactly 1 or a(n-1) earlier terms.
2
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
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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