|
|
A308125
|
|
Numbers k that are a multiple of the DENEAT operator applied to k (A073053).
|
|
1
|
|
|
0, 22, 44, 66, 88, 123, 264, 369, 462, 615, 660, 738, 759, 852, 957, 1120, 1344, 1568, 1884, 2024, 2068, 2200, 2244, 2288, 2420, 2464, 2640, 2684, 2860, 2912, 3350, 3360, 3584, 3752, 4004, 4048, 4224, 4268, 4400, 4444, 4488, 4620, 4664, 4840, 4884, 5024, 6028, 6204
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,2
|
|
COMMENTS
|
The DENEAT operator is also known as the Sisyphus function.
On the other hand, the sequence of numbers k such that DENEAT(k) is a multiple of k, is the finite sequence {1, 11, 14, 16, 22, 56, 123}.
|
|
REFERENCES
|
J. Schram, The Sisyphus string, J. Rec. Math., 19:1 (1987), 43-44.
|
|
LINKS
|
|
|
EXAMPLE
|
2912 / DENEAT(2912) = 2912 / 224 = 13.
|
|
MAPLE
|
P:=proc(n) local a, b, c, d, k; a:=convert(n, base, 10); b:=0: c:=0:
for k from 1 to nops(a) do if a[k] mod 2=0 then b:=b+1; else c:=c+1; fi;
od: d:=b*10^length(c)+c; a:=n/(d*10^length(length(n))+length(n)):
if frac(a)=0 then n; fi; end: 0, seq(P(i), i=1..6204);
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,base,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|