|
Search: id:A094688
|
|
|
| A094688 |
|
Convolution of Fibonacci(n) and 3^n. |
|
+0
3
|
|
| 0, 1, 4, 14, 45, 140, 428, 1297, 3912, 11770, 35365, 106184, 318696, 956321, 2869340, 8608630, 25826877, 77482228, 232449268, 697351985, 2092062720, 6276199106, 18828615029, 56485873744, 169457667600, 508373077825, 1525119354868
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
FORMULA
|
G.f. : x/((1-3x)(1-x-x^2)); a(n)=3^(n+1)/5-L(n+2)/5; a(n)=4a(n-1)-2a(n-2)-3a(n-3).
a(n) = A101220(3, 3, n) - Ross La Haye (rlahaye(AT)new.rr.com), Jan 28 2005
a(0) = 0, a(1) = 1, a(n) = a(n-1) + a(n-2) + 3^(n-1) for n > 1. - Ross La Haye (rlahaye(AT)new.rr.com), Aug 20 2005
|
|
CROSSREFS
|
Cf. A000032.
Sequence in context: A125068 A108765 A005775 this_sequence A068092 A117916 A054449
Adjacent sequences: A094685 A094686 A094687 this_sequence A094689 A094690 A094691
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), May 19 2004
|
|
|
Search completed in 0.002 seconds
|
