|
| |
|
|
A003481
|
|
a(n) = 7a(n-1) - a(n-2) + 5.
(Formerly M2120)
|
|
4
|
|
|
|
2, 20, 143, 986, 6764, 46367, 317810, 2178308, 14930351, 102334154, 701408732, 4807526975, 32951280098, 225851433716, 1548008755919, 10610209857722, 72723460248140, 498454011879263, 3416454622906706
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
S. M. Tanny and M. Zuker, On a unimodal sequence of binomial coefficients, Discrete Math. 9 (1974), 79-89.
|
|
|
LINKS
|
Table of n, a(n) for n=0..18.
_Simon Plouffe_, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
_Simon Plouffe_, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
|
|
|
FORMULA
|
Fibonacci(4(n+1))-1 = A033888(n+1)-1. - Ralf Stephan, Feb 24 2004, index corrected R. J. Mathar, Sep 18 2008
|
|
|
MAPLE
|
A003481:=(-2-4*z+z**2)/(z-1)/(z**2-7*z+1); [Simon Plouffe in his 1992 dissertation.]
|
|
|
CROSSREFS
|
Sequence in context: A094254 A093647 A003490 * A081006 A000183 A198052
Adjacent sequences: A003478 A003479 A003480 * A003482 A003483 A003484
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
N. J. A. Sloane.
|
|
|
EXTENSIONS
|
More terms from Ralf Stephan, Feb 24 2004
|
|
|
STATUS
|
approved
|
| |
|
|
