|
Search: id:A116415
|
|
| |
|
| 1, 5, 22, 95, 409, 1760, 7573, 32585, 140206, 603275, 2595757, 11168960, 48057529, 206780765, 889731238, 3828313895, 16472375761, 70876937120, 304967558317, 1312206980225, 5646132226174, 24294040190195, 104531804272453
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
COMMENT
|
Row sums of A116414.
Binomial transform of the sequence A006190 - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Nov 23 2007
|
|
REFERENCES
|
Sergio Falcon and Angel Plaza: "On k-Fibonacci sequences and polynomials and their derivatives". doi:10.1016/j.chaos.2007.03.2007
|
|
FORMULA
|
G.f.: 1/(1-5x+3x^2) a(n)=sum{k=0..n, sum{j=0..n, C(n-j,k)C(k+j,j)3^j}}.
a(n)=(1/sqrt(13))*(((5+sqrt(13))/2)^n-((5-sqrt(13))/2)^n) - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Nov 23 2007
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 5, 3) for n in xrange(1, 24)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
|
|
CROSSREFS
|
Cf. A001906, A007070, A084326.
Sequence in context: A053154 A141222 A127360 this_sequence A026861 A026888 A083586
Adjacent sequences: A116412 A116413 A116414 this_sequence A116416 A116417 A116418
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Feb 13 2006
|
|
|
Search completed in 0.002 seconds
|
