OEIS A002849
E621099
OEIS A002849 is the integer sequence that counts the number of partitions of n into distinct odd parts.
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
OEIS sequence
ⓘ
integer sequence ⓘ |
| hasAlternativeFormulation | number of partitions of n into parts congruent to 1 mod 2 with each part used at most once ⓘ |
| hasCombinatorialInterpretation |
counts partitions of n into distinct odd parts
ⓘ
counts partitions of n into odd parts with no part repeated ⓘ |
| hasDescription | number of partitions of n into distinct odd parts ⓘ |
| hasFirstTerm | 1 ⓘ |
| hasFirstTermIndex | 0 ⓘ |
| hasFirstValuesString | 1, 1, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 12, 15, 18, 22, 27, 32, 38, 46, 54, 64, 76, 89, 104, 121, 141, 163, 188, 216 ⓘ |
| hasGeneratingFunction | Product_{k>=0} (1 + x^(2k+1)) ⓘ |
| hasKeyword |
easy
ⓘ
nice ⓘ nonn ⓘ |
| hasOEISIndex | A002849 ⓘ |
| hasOffset | 0 ⓘ |
| hasTerm |
1
ⓘ
10 ⓘ 104 ⓘ 12 ⓘ 121 ⓘ 141 ⓘ 15 ⓘ 163 ⓘ 18 ⓘ 188 ⓘ 2 ⓘ 216 ⓘ 22 ⓘ 27 ⓘ 3 ⓘ 32 ⓘ 38 ⓘ 4 ⓘ 46 ⓘ 5 ⓘ 54 ⓘ 6 ⓘ 64 ⓘ 76 ⓘ 8 ⓘ 89 ⓘ |
| isInOEIS | true ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.