|
|
A143036
|
|
A sequence of asymptotic density zeta(10) - 1, where zeta is the Riemann zeta function.
|
|
10
|
|
|
511, 1535, 2559, 3583, 4607, 5631, 6655, 7679, 8703, 9727, 10751, 11775, 12799, 13823, 14847, 15871, 16895, 17919, 18943, 19967, 20991, 22015, 23039, 24063, 25087, 26111, 27135, 28159, 29183, 30207, 31231, 32255, 33279, 34303, 35327
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Made up of a collection of mutually exclusive residue classes modulo multiples of factorials. A set of such sequences with entries for each zeta(k) - 1 partitions the integers. See the linked paper for their construction.
|
|
LINKS
|
|
|
MATHEMATICA
|
f[n_] := Module[{k = n - 1, m = 2, r}, While[{k, r} = QuotientRemainder[k, m]; r != 0, m++]; IntegerExponent[k + 1, m] + 2]; Select[Range[4*10^4], f[#] == 10 &] (* Amiram Eldar, Feb 15 2021 after Kevin Ryde at A161189 *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|