login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A124832 Table of exponents of prime factorizations in A025487. 5
1, 2, 1, 1, 3, 2, 1, 4, 3, 1, 1, 1, 1, 5, 2, 2, 4, 1, 2, 1, 1, 6, 3, 2, 5, 1, 3, 1, 1, 7, 4, 2, 2, 2, 1, 6, 1, 1, 1, 1, 1, 3, 3, 4, 1, 1, 8, 5, 2, 3, 2, 1, 7, 1, 2, 1, 1, 1, 4, 3, 5, 1, 1, 9, 6, 2, 4, 2, 1, 8, 1, 3, 1, 1, 1, 5, 3, 2, 2, 2, 6, 1, 1, 10, 3, 3, 1, 7, 2, 2, 2, 1, 1, 4, 4, 5, 2, 1, 9, 1, 4, 1, 1, 1, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

COMMENTS

This is an enumeration of all partitions.

LINKS

Ray Chandler, Table of n, a(n) for n = 2..106 (corrected by Ray Chandler, Jan 19 2019)

FORMULA

A025487(n) = Product_{k=1..A061394(n)} prime(k)^T(n,k). - Edited by M. F. Hasler, Oct 12 2018

EXAMPLE

From M. F. Hasler, Oct 12 2018 (Start):

The table starts as follows

  n : signature   (A025487(n) = factorization)

  1 : []          (1 = empty product)

  2 : [1]         (2 = 2^1)

  3 : [2]         (4 = 2^2)

  4 : [1, 1]      (6 = 2^1 * 3^1)

  5 : [3]         (8 = 2^3)

  6 : [2, 1]      (12 = 2^2 * 3^1)

  7 : [4]         (16 = 2^4)

  8 : [3,1]       (24 = 2^3 * 3^1)

  9 : [1, 1, 1]   (30 = 2^1 * 3^1 * 5^1)

  etc. (End)

PROG

(PARI) A124832_row(n)=factor(A025487(n))[, 2] \\ M. F. Hasler, Oct 12 2018

CROSSREFS

Cf. A025487, A036041 (row sums), A061394 (row lengths), A124829, A036036, A080577.

Sequence in context: A124829 A093394 A094363 * A226130 A137569 A266715

Adjacent sequences:  A124829 A124830 A124831 * A124833 A124834 A124835

KEYWORD

nonn,tabf

AUTHOR

Franklin T. Adams-Watters, Nov 09 2006

EXTENSIONS

Erroneous explanations in cross-references corrected by M. F. Hasler, Oct 12 2018

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 18 00:19 EST 2019. Contains 320237 sequences. (Running on oeis4.)