login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
A220489
Total number of smallest parts in all partitions of n minus the total number of smallest parts that are also emergent parts in all partitions of n with at least one distinct part.
1
1, 3, 5, 10, 14, 26, 34, 56, 77, 114, 153, 227, 296, 414, 555, 750, 981, 1316, 1702, 2241, 2887, 3727, 4761, 6112, 7725, 9787, 12316, 15473, 19307, 24099, 29867, 37004, 45626, 56147, 68856, 84297, 102793, 125167, 151969, 184166, 222553, 268529, 323152
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
COMMENTS
First differs from
A092269
at a(7).
For the definition of "emergent part" see
A182699
,
A182709
.
LINKS
Table of n, a(n) for n=1..43.
FORMULA
a(n) = spt(n) -
A220483
(n) = 1 + sigma(n) +
A000070
(n) - p(n-1) - d(n) - n.
a(n) =
A092269
(n) -
A220483
(n) = 1 +
A000203
(n) +
A000070
(n) -
A000041
(n-1) -
A000005
(n) - n.
CROSSREFS
Cf.
A000005
,
A000041
,
A000070
,
A000203
,
A002865
,
A092269
,
A120452
,
A195820
,
A220479
,
A220483
.
Sequence in context:
A137630
A320886
A323433
*
A229915
A092269
A323429
Adjacent sequences:
A220486
A220487
A220488
*
A220490
A220491
A220492
KEYWORD
nonn
AUTHOR
Omar E. Pol
, Feb 24 2013
STATUS
approved
