|
Search: id:A015536
|
|
|
| A015536 |
|
Linear 2nd order recurrence. |
|
+0
4
|
|
| 0, 1, 5, 28, 155, 859, 4760, 26377, 146165, 809956, 4488275, 24871243, 137821040, 763718929, 4232057765, 23451445612, 129953401355, 720121343611, 3990466922120, 22112698641433, 122534893973525, 679012565791924
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
a(n) = 5 a(n-1) + 3 a(n-2).
a(n)=(5/2+sqrt(37)/2)^n/sqrt(37)-(5/2-sqrt(37)/2)^n/sqrt(37); a(n)=sum{k=0..floor((n-1)/2), binomial(n-k-1, k)3^k*5^(n-2k-1). - Paul Barry (pbarry(AT)wit.ie), Jul 20 2004
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 5, -3) for n in xrange(0, 22)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 24 2009]
|
|
CROSSREFS
|
Sequence in context: A037682 A126699 A164537 this_sequence A005785 A027912 A090040
Adjacent sequences: A015533 A015534 A015535 this_sequence A015537 A015538 A015539
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Olivier Gerard (olivier.gerard(AT)gmail.com)
|
|
|
Search completed in 0.002 seconds
|
