Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:author |
gptkb:N._J._A._Sloane
|
| gptkbp:citation |
gptkb:OEIS_A001844
gptkb:OEIS_A003215 gptkb:OEIS_A006005 Handbook of Integer Sequences, N.J.A. Sloane, 1973 (includes this sequence as M2282) |
| gptkbp:describes |
Centered hexagonal numbers are figurate numbers that represent a hexagon with a dot in the center and all other dots surrounding the center in successive hexagonal layers.
|
| gptkbp:eighth_term |
169
|
| gptkbp:fifthBook |
61
|
| gptkbp:first_terms |
1
7 |
| gptkbp:form |
a(n) = 2*n^2 - 2*n + 1 + n^2
a(n) = 3n(n-1) + 1 |
| gptkbp:fourthPlace |
37
|
| gptkbp:hasKeyword |
nonn,easy,nice
|
| https://www.w3.org/2000/01/rdf-schema#label |
OEIS A005195
|
| gptkbp:link |
https://oeis.org/A005195
|
| gptkbp:name |
gptkb:Centered_hexagonal_numbers
|
| gptkbp:ninth_term |
217
|
| gptkbp:OEIS |
A005195
|
| gptkbp:offset |
1,2
|
| gptkbp:recurrence |
a(n) = a(n-1) + 6*(n-1), a(1)=1
|
| gptkbp:sequence |
1, 7, 19, 37, 61, 91, 127, 169, 217, 271, ...
|
| gptkbp:seventhBook |
127
|
| gptkbp:sixthBook |
91
|
| gptkbp:tenth_term |
271
|
| gptkbp:thirdPlace |
19
|
| gptkbp:bfsParent |
gptkb:OEIS_A000372
|
| gptkbp:bfsLayer |
6
|