|
| |
|
|
A062774
|
|
Inverse Moebius transform of PrimePi function.
|
|
1
| |
|
|
0, 1, 2, 3, 3, 6, 4, 7, 6, 8, 5, 13, 6, 11, 11, 13, 7, 17, 8, 18, 14, 14, 9, 26, 12, 16, 15, 22, 10, 29, 11, 24, 18, 19, 18, 35, 12, 21, 20, 34, 13, 37, 14, 30, 29, 24, 15, 47, 19, 32, 24, 33, 16, 42, 24, 42, 26, 27, 17, 61, 18, 30, 36, 42, 27, 48, 19, 40, 30, 48, 20, 68, 21, 34
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
|
|
|
FORMULA
| a(n)=Sum {Pi(d)}, d divides n.
|
|
|
EXAMPLE
| n = 12: divisors = D(12) = {1,2,3,4,6,12}, Pi[D(12)] = {0,1,2,2,3,5} of which the sum is 0+1+2+2+3+5 = 13 so a(12) = 13; a(p[n]) = 0+n = n, for n-th prime p[n].
|
|
|
PROG
| (PARI) { for (n=1, 1000, d=divisors(n); write("b062774.txt", n, " ", sum(k=1, length(d), primepi(d[k]))) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009]
|
|
|
CROSSREFS
| Cf. A007444, A007445.
Sequence in context: A141729 A049990 A173739 * A045892 A160791 A115973
Adjacent sequences: A062771 A062772 A062773 * A062775 A062776 A062777
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jul 18 2001
|
|
|
EXTENSIONS
| OFFSET changed from 0,3 to 1,3 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 10 2009
|
| |
|
|
