Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A056813
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A056813 Largest non-unitary prime factor of LCM[1,...,n]; i.e. the largest prime which occurs to power > 1 in prime factorization of LCM[1,..,n]. +0
1
1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 (list; graph; listen)
OFFSET

0,4

COMMENT

For n>0, p(n) appears {(p(n+1))^2 - (p(n))^2} times [from n=(p(n))^2 to n=(p(n+1))^2 - 1], i.e., A000040(n) appears A069482(n) times[from n=A001248(n) to n=A084920(n+1)] - Lekraj Beedassy (blekraj(AT)yahoo.com), Mar 31 2005

a(n) is the largest prime factor of A045948(n). [From Matthew Vandermast (ghodges14(AT)comcast.net), Oct 29 2008]

FORMULA

a(n)=p(w) if p(w)^2 <= n < p(w+1)^2.

EXAMPLE

The j-th prime appears at the position of its square, at n=P(j)^2.

CROSSREFS

Cf. A054041, A056170.

Sequence in context: A006374 A064876 A105517 this_sequence A125269 A077430 A105513

Adjacent sequences: A056810 A056811 A056812 this_sequence A056814 A056815 A056816

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Aug 28 2000

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


AT&T Labs Research