|
Search: id:A099012
|
|
| |
|
| 0, 1, 3, 18, 81, 405, 1944, 9477, 45927, 223074, 1082565, 5255361, 25509168, 123825753, 601059771, 2917611090, 14162371209, 68745613437, 333698181192, 1619805064509, 7862698824255, 38166342053346, 185263315578333
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Binomial transform is A057088 (with leading 0). Partial sums are A099013. Binomial transform of A015447 (with leading 0).
|
|
FORMULA
|
G.f.: x/(1-3x-9x^2); a(n)=3a(n-1)+9a(n-2); a(n)=sqrt(5)(3/2+3sqrt(5)/2)^n/15-sqrt(5)(3/2-3sqrt(5)/2)^n/15.
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 3, -9) for n in xrange(0, 23)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
|
|
CROSSREFS
|
Cf. A000045.
Sequence in context: A086346 A036290 A078904 this_sequence A122069 A103897 A119424
Adjacent sequences: A099009 A099010 A099011 this_sequence A099013 A099014 A099015
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Sep 22 2004
|
|
|
Search completed in 0.002 seconds
|
