|
|
A116552
|
|
a(2*n+1) = 3*a(n), a(2*n+2) = 4*a(n) + a(n-1).
|
|
6
|
|
|
1, 3, 4, 9, 13, 12, 19, 27, 40, 39, 61, 36, 61, 57, 88, 81, 127, 120, 187, 117, 196, 183, 283, 108, 205, 183, 280, 171, 289, 264, 409, 243, 412, 381, 589, 360, 607, 561, 868, 351, 655, 588, 901, 549, 928, 849, 1315, 324, 715, 615, 928, 549, 937, 840, 1303, 513
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
LINKS
|
|
|
FORMULA
|
a(2*n+1) = 3*a(n).
a(2*n+2) = 4*a(n) + a(n-1). (End)
|
|
MATHEMATICA
|
b[0] := 0; b[1] := 1;
b[n_?EvenQ] := b[n] = 3*b[n/2];
b[n_?OddQ] := b[n] = 4*b[(n - 1)/2] + b[(n - 3)/2];
Table[b[n], {n, 1, 70}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|