Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A138618
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A138618 Triangle of exponentials of Mangoldt function M(n) read by rows, in which row products give the natural numbers. +0
2
1, 2, 1, 3, 1, 1, 2, 2, 1, 1, 5, 1, 1, 1, 1, 1, 3, 2, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 2, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1, 13, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

Row sums are A001414. This table is similar to A139547 and A120885. Cumulative column products are A003418, A139550, A139552, A139554.

LINKS

Weisstein, Eric W., Mangoldt Function.

FORMULA

T(n,k) = if n>=k then A139547((A120885-1)) else 1.

EXAMPLE

1 = 1

2*1 = 2

3*1*1 = 3

2*2*1*1 = 4

5*1*1*1*1 = 5

1*3*2*1*1*1 = 6

7*1*1*1*1*1*1 = 7

2*2*1*2*1*1*1*1 = 8

3*1*3*1*1*1*1*1*1 = 9

1*5*1*1*2*1*1*1*1*1 = 10

11*1*1*1*1*1*1*1*1*1*1 = 11

1*1*2*3*1*2*1*1*1*1*1*1 = 12

13*1*1*1*1*1*1*1*1*1*1*1*1 = 13

PROGRAM

(Excel cell formula) =if(mod(row(); column())=0; lookup(roundup((row()/column()); 0); A000027; A014963); 1)

CROSSREFS

Cf. A120885, A139547, A001414, A000027.

Sequence in context: A144869 A058564 A087157 this_sequence A140583 A123507 A122580

Adjacent sequences: A138615 A138616 A138617 this_sequence A138619 A138620 A138621

KEYWORD

nonn,tabl

AUTHOR

Mats O. Granvik (mgranvik(AT)abo.fi), May 14 2008

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 December 1 13:27 EST 2009. Contains 167806 sequences.


AT&T Labs Research