|
|
A120163
|
|
a(n) = 4 + floor((3 + Sum_{j=1..n-1} a(j))/4).
|
|
1
|
|
|
4, 5, 7, 8, 10, 13, 16, 20, 25, 31, 39, 49, 61, 76, 95, 119, 149, 186, 233, 291, 364, 455, 568, 710, 888, 1110, 1387, 1734, 2168, 2710, 3387, 4234, 5292, 6615, 8269, 10336, 12920, 16150, 20188, 25235
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
LINKS
|
|
|
MATHEMATICA
|
l={4}; Do[l=AppendTo[l, Floor[(19+Total[l])/4]], {40}]; l (* Harvey P. Dale, Sep 23 2011 *)
|
|
PROG
|
(Magma)
function f(n, a, b)
t:=0;
for k in [1..n-1] do
t+:= a+Floor((b+t)/4);
end for;
return t;
end function;
g:= func< n, a, b | f(n+1, a, b)-f(n, a, b) >;
(SageMath)
@CachedFunction
def f(n, p, q): return p + (q + sum(f(k, p, q) for k in range(1, n)))//4
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|