|
| |
|
|
A153180
|
|
a(n) = L(13n)/L(n) where L(n) = Lucas number A000204(n).
|
|
2
| |
|
|
521, 90481, 35355581, 10525900321, 3489827263001, 1111126318086721, 359316586176453881, 115509240442846111681, 37216910406644366498621, 11980863523543017476802001, 3858153294795970321295258921
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| All numbers in this sequence are:
congruent to 1 mod 10
congruent to 1 mod 100 (iff n is congruent to 0 mod 5),Q congruent to 21 mod 100 (iff n is congruent to 1 or 4 mod 5),
congruent to 81 mod 100 (iff n is congruent to 2 or 3 mod 5).Q
|
|
|
FORMULA
| a(n)= +233*a(n-1) +33552*a(n-2) -1493064*a(n-3) -27372840*a(n-4) +186135312*a(n-5) +488605194*a(n-6) -488605194*a(n-7) -186135312*a(n-8) +27372840*a(n-9) +1493064*a(n-10) -33552*a(n-11) -233*a(n-12) +a(n-13). G.f.: -1+ (-2-123*x)/(x^2+123*x+1) +(2-322*x)/(x^2-322*x+1) +(-2-3*x)/(x^2+3*x+1) +(2-7*x)/(x^2-7*x+1) +(2-47*x)/(x^2-47*x+1) -1/(x-1)+ (-2-18*x)/(x^2+18*x+1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 22 2010]
|
|
|
MATHEMATICA
| Table[LucasL[13 n]/LucasL[n], {n, 1, 150}]
|
|
|
CROSSREFS
| A000032, A000204, A047221, A110391, A153173, A153175, A153177, A153179.
Sequence in context: A138063 A167734 A122715 * A015291 A028484 A057699
Adjacent sequences: A153177 A153178 A153179 * A153181 A153182 A153183
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Artur Jasinski (grafix(AT)csl.pl), Dec 20 2008
|
| |
|
|
