|
|
A120634
|
|
Decimal equivalent of A066335.
|
|
2
|
|
|
0, 7, 6, 5, 4, 11, 10, 9, 8, 15, 14, 13, 12, 19, 18, 17, 16, 23, 22, 21, 20, 27, 26, 25, 24, 31, 30, 29, 28, 35, 34, 33, 32, 39, 38, 37, 36, 43, 42, 41, 40, 47, 46, 45, 44, 51, 50, 49, 48, 55, 54, 53, 52, 59, 58, 57, 56, 63, 62, 61, 60, 67, 66, 65, 64, 71, 70, 69, 68, 75, 74, 73
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
a(n) = (3-(-1)^n-(1-i)*((-i)^n+i*i^n)+n) where i=sqrt(-1).
a(n) = a(n-1)+a(n-4)-a(n-5).
G.f.: -x*(x^3+x^2+x-7) / ((x-1)^2*(x+1)*(x^2+1)).
(End)
|
|
MATHEMATICA
|
LinearRecurrence[{1, 0, 0, 1, -1}, {0, 7, 6, 5, 4}, 80] (* Harvey P. Dale, May 10 2015 *)
|
|
PROG
|
(PARI) concat(0, Vec(-x*(x^3+x^2+x-7)/((x-1)^2*(x+1)*(x^2+1)) + O(x^100))) \\ Colin Barker, Oct 06 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
base,easy,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|