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A035421
Limit of the position of the n-th partition such that the adjacent parts differ by at least 2 and such that the smallest part is at least 2 in the list of all integer partitions sorted in reverse lexicographic order.
1
1, 3, 5, 8, 13, 20, 22, 31, 33, 46, 48, 50, 68, 70, 72, 98, 100, 102, 105, 140, 142, 144, 147, 196, 198, 200, 203, 208, 217, 273, 275, 277, 280, 285, 294, 374, 376, 378, 381, 386, 393, 395, 406, 509, 511, 513, 516, 521, 528, 530, 541, 557, 685, 687, 689, 692
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OFFSET
1,2
REFERENCES
G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p. 109.
LINKS
Table of n, a(n) for n=1..56.
CROSSREFS
Cf.
A003106
,
A003114
,
A035425
.
Sequence in context:
A265064
A030762
A023500
*
A035424
A245934
A099351
Adjacent sequences:
A035418
A035419
A035420
*
A035422
A035423
A035424
KEYWORD
nonn
AUTHOR
Olivier Gérard
EXTENSIONS
Name clarified by
Geoffrey Caveney
and
Sean A. Irvine
, Sep 03 2025
STATUS
approved