|
|
A355538
|
|
Partial sum of A001221 (number of distinct prime factors) minus 1, ranging from 2 to n.
|
|
4
|
|
|
0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 5, 5, 6, 6, 7, 8, 9, 9, 10, 10, 11, 11, 12, 12, 14, 14, 14, 15, 16, 17, 18, 18, 19, 20, 21, 21, 23, 23, 24, 25, 26, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 35, 37, 37, 38, 39, 39, 40, 42, 42, 43, 44, 46, 46
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,10
|
|
COMMENTS
|
For initial terms up to 30 we have a(n) = Log_2 A355537(n).
|
|
LINKS
|
|
|
FORMULA
|
|
|
MATHEMATICA
|
Table[Total[(PrimeNu[#]-1)&/@Range[2, n]], {n, 1, 100}]
|
|
CROSSREFS
|
The sum of the same range is A000096.
The ranges themselves are the rows of A131818 (shifted).
A001222 counts prime factors with multiplicity.
A003963 multiplies together the prime indices of n.
A066843 gives partial sums of A0000005.
Cf. A000720, A002110, A076610, A305054, A355538, A355731, A355733, A355741, A355744, A355745, A355746, A355747.
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|