|
| |
|
|
A122491
|
|
a(n) = n*Fib(n) - sum_{i=0..n} Fib(i).
|
|
7
| |
|
|
0, 0, 0, 2, 5, 13, 28, 58, 114, 218, 407, 747, 1352, 2420, 4292, 7554, 13209, 22969, 39748, 68494, 117590, 201210, 343275, 584087, 991440, 1679208, 2838408, 4789058, 8066669, 13566373, 22782892, 38209762, 64003002, 107083610, 178967807, 298803459, 498404504
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,4
|
|
|
COMMENTS
| Similar to A190062.
|
|
|
LINKS
| Bruno Berselli, Table of n, a(n) for n = 0..1000
|
|
|
FORMULA
| a(n) = n*Fibonacci(n) - Fibonacci(n+2) + 1. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 22 2008
G.f.: x^3*(2-x)/(1-3*x+x^2+3*x^3-x^4-x^5). [Colin Barker, Feb 10 2012]
|
|
|
EXAMPLE
| a(5) = 13 because Fib(5) = 5, times 5 = 25 and subtract sum(Fib(5))=12 to get 13
|
|
|
MAPLE
| with(combinat, fibonacci): for i from 1 to 30 do i*fibonacci(i) - sum(fibonacci(k), k=0..i); end do;
|
|
|
MATHEMATICA
| Table[n*Fibonacci[n] - Fibonacci[n + 2] + 1, {n, 0, 40}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 22 2008
|
|
|
CROSSREFS
| Cf. A000045.
Sequence in context: A126656 A026522 A193044 * A002559 A049097 A045366
Adjacent sequences: A122488 A122489 A122490 * A122492 A122493 A122494
|
|
|
KEYWORD
| nonn,changed
|
|
|
AUTHOR
| Ben Thurston (benthurston27(AT)yahoo.com), Sep 16 2006
|
|
|
EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Sep 17 2006
|
| |
|
|
