|
|
A088493
|
|
a(n) = Sum_{k=1..8} floor(p(n, k)/p(n-1, k)), where p(n, k) = n!/( Product_{i=1..floor(n/2^k)} A004001(i) ).
|
|
3
|
|
|
16, 24, 32, 40, 45, 56, 60, 72, 73, 88, 81, 104, 101, 120, 108, 136, 129, 152, 129, 168, 157, 184, 141, 200, 185, 216, 178, 232, 213, 248, 188, 264, 241, 280, 226, 296, 269, 312, 222, 328, 297, 344, 273, 360, 325, 376, 237, 392, 353, 408, 321, 424, 381, 440
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
2,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = Sum_{k=1..8} floor(p(n, k)/p(n-1, k)), where p(n, k) = n!/( Product_{i=1..floor(n/2^k)} A004001(i) ).
|
|
MATHEMATICA
|
Conway[n_]:= Conway[n]= If[n<3, 1, Conway[Conway[n-1]] +Conway[n-Conway[n-1]]];
f[n_, k_]:= f[n, k]= Product[Conway[i], {i, Floor[n/2^k]}];
a[n_]:= a[n]= Sum[Floor[n*f[n-1, k]/f[n, k]], {k, 8}];
Table[a[n], {n, 2, 70}] (* modified by G. C. Greubel, Mar 27 2022 *)
|
|
PROG
|
(Sage)
@CachedFunction
if (n<3): return 1
else: return b(b(n-1)) + b(n-b(n-1))
def f(n, k): return product( b(j) for j in (1..(n//2^k)) )
def A088493(n): return sum( (n*f(n-1, k)//f(n, k)) for k in (1..8) )
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|