|
Search: id:A016149
|
|
|
| A016149 |
|
Expansion of 1/((1-4x)(1-6x)). |
|
+0
5
|
|
| 1, 10, 76, 520, 3376, 21280, 131776, 807040, 4907776, 29708800, 179301376, 1080002560, 6496792576, 39047864320, 234555621376, 1408407470080, 8454739787776, 50745618595840, 304542431051776
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
a(n)=10a(n-1)-24a(n-2), n>1; a(0)=1. a(n)=[(6^(n+1))-4^(n+1)]/2 - Barry E. Williams, Jan 13 2000.
a(n) = A081199(n+1). Binomial transform of A080961. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 18 2008]
G.f.: x/(1-10*x+24*x^2). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
|
|
MAPLE
|
seq(add(2^(2*n-k)*binomial(n, k)/2, k=1..n), n=1..19); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 18 2009]
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 10, 24) for n in xrange(1, 20)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2009]
|
|
CROSSREFS
|
Sequence in context: A136869 A108277 A061319 this_sequence A081199 A107903 A075489
Adjacent sequences: A016146 A016147 A016148 this_sequence A016150 A016151 A016152
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
