OEIS A000009

URI: https://gptkb.org/entity/OEIS_A000009
GPTKB entity
Statements (40)
Predicate Object
gptkbp:instanceOf integer sequence
gptkbp:author gptkb:N._J._A._Sloane
gptkbp:citation gptkb:OEIS_A001047
OEIS A000041
L. Comtet, Advanced Combinatorics, Reidel, 1974.
G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976.
N. J. A. Sloane, The On-Line Encyclopedia of Integer Sequences.
gptkbp:eighteenth_term 38
gptkbp:eighth_term 5
gptkbp:eleventh_term 10
gptkbp:fifteenth_term 22
gptkbp:fifthBook 2
gptkbp:first_terms 1
gptkbp:form Generating function: Product_{k>=1} (1 + x^k)
a(n) = number of partitions of n into distinct parts
gptkbp:fourteenth_term 18
gptkbp:fourthPlace 2
gptkbp:hasKeyword easy
nice
core
nonn
https://www.w3.org/2000/01/rdf-schema#label OEIS A000009
gptkbp:nineteenth_term 46
gptkbp:ninth_term 7
gptkbp:OEIS gptkb:A000009
gptkbp:offset 0,4
gptkbp:sequence Number of partitions of n into distinct parts
1, 1, 1, 2, 2, 3, 4, 5, 7, 8, 10, 12, 15, 18, 22, 27, 32, 38, 46, 54, ...
gptkbp:seventeenth_term 32
gptkbp:seventhBook 4
gptkbp:sixteenth_term 27
gptkbp:sixthBook 3
gptkbp:status approved
gptkbp:tenth_term 8
gptkbp:thirdPlace 1
gptkbp:thirteenth_term 15
gptkbp:twelfth_term 12
gptkbp:twentieth_term 54
gptkbp:bfsParent gptkb:OEIS_A008836
gptkbp:bfsLayer 7