OEIS:A008908

GPTKB entity

Statements (79)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:author gptkb:N._J._A._Sloane
gptkbp:citation OEIS:A000009
OEIS:A001047
OEIS:A001970
OEIS:A025147
OEIS:A036469
OEIS:A036470
OEIS:A036471
OEIS:A036472
OEIS:A036473
OEIS:A036474
OEIS:A036475
OEIS:A036476
OEIS:A036477
OEIS:A036478
OEIS:A036479
OEIS:A036480
OEIS:A036481
OEIS:A036482
OEIS:A036483
OEIS:A036484
OEIS:A036485
OEIS:A036486
OEIS:A036487
OEIS:A036488
OEIS:A036489
OEIS:A036490
OEIS:A036491
OEIS:A036492
OEIS:A036493
OEIS:A036494
OEIS:A036495
OEIS:A036496
OEIS:A036497
OEIS:A036498
OEIS:A036499
OEIS:A036500
OEIS:A036501
OEIS:A036502
OEIS:A036503
OEIS:A036504
OEIS:A036505
OEIS:A036506
OEIS:A036507
OEIS:A036508
OEIS:A036509
OEIS:A036510
OEIS:A036511
gptkbp:form a(n) = number of partitions of n into distinct parts = number of partitions of n into odd parts.
gptkbp:hasGeneratingFunction Product_{k>=1} (1 + x^k) = Product_{k>=1} 1/(1 - x^{2k-1})
gptkbp:hasKeyword easy
nice
core
full
nonn
fini
gptkbp:hasOEISTitle Number of partitions of n into distinct parts (or number of partitions into odd parts).
gptkbp:hasOffset 0
https://www.w3.org/2000/01/rdf-schema#label OEIS:A008908
gptkbp:OEISID gptkb:A008908
gptkbp:OEISURL https://oeis.org/A008908
gptkbp:referencedIn L. Comtet, Advanced Combinatorics, Reidel, 1974.
I. G. Macdonald, Symmetric Functions and Hall Polynomials, Oxford, 1979.
G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976.
gptkbp:sequence 2
1
10
12
15
18
22
27
3
5
7
8
gptkbp:bfsParent gptkb:3x+1_problem
gptkbp:bfsLayer 8