Statements (107)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
integer sequence
|
| gptkbp:alsoKnownAs |
gptkb:Lucas_numbers
|
| gptkbp:author |
gptkb:N._J._A._Sloane
|
| gptkbp:citation |
gptkb:A000045
gptkb:A001047 A001608 |
| gptkbp:describedBy |
gptkb:OEIS
|
| gptkbp:first_terms |
2
1 11 123 18 199 29 3 4 47 7 76 843 9349 322 521 1364 15127 2207 64079 3571 5778 100501350283429 103682 10749957122 1114577054219522 1149851 119218851371 12360848946698171 12752043 1322157322203 137083915467899403 141422324 14662949395604 1520283919093591604 1568397607 162614600673847 167761 17393796001 1803423556807921 1860498 192900153618 20000273725560978 20633239 2139295485799 221806434537978679 228826127 23725150497407 24476 2459871053643326447 2537720636 263115950957276 271443 28143753123 2918000611027443 3010349 312119004989 32361122672259149 33385282 3461452808002 358890350005878082 370248451 38388099893011 39603 3980154972736918051 4106118243 425730551631123 439204 45537549124 4721424167835364 4870847 505019158607 52361396397820127 54018521 5600748293801 580696784543856761 599074578 62113250390418 6643838879 688846502588399 710647 73681302247 7639424778862807 7881196 817138163596 84722519070079276 87403803 9062201101803 939587134549734843 969323029 |
| gptkbp:form |
a(n) = phi^n + (1-phi)^n, where phi = (1+sqrt(5))/2
|
| gptkbp:hasKeyword |
easy
nice nonn |
| https://www.w3.org/2000/01/rdf-schema#label |
A000032
|
| gptkbp:offset |
0
|
| gptkbp:recurrence |
a(n) = a(n-1) + a(n-2)
|
| gptkbp:relatedTo |
gptkb:A000045
|
| gptkbp:bfsParent |
gptkb:Lucas_numbers
|
| gptkbp:bfsLayer |
6
|