Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A131191
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A131191 Numbers n such that the sequences {d(n) = (n^1 + 1) (n^2 + 2) ... (n^22 + 22) / 22! : n >= 0 }, {e(n) = (n^1 + 1) (n^2 + 2) ... (n^23 + 23) / 23! : n >= 0 } and {f(n) = (n^1 + 1) (n^2 + 2) ... (n^24 + 24) / 24! : n >= 0 } take nonintegral values. +0
1
7, 18, 29, 40, 51, 62, 73, 84, 95 (list; graph; listen)
OFFSET

1,1

COMMENT

Comment from the author: initial terms were calculated by Peter J. C. Moses; see comment in A129995.

Comment from Max Alekseyev: 22! = 2^19 * 3^9 * 5^4 * 7^3 * 11^2 * 13 * 17 * 19 Here we find that all prime powers divide (n^1 + 1)*(n^2 + 2)*(n^3 +3)*...*(n^22 + 22), except for 11^2. 11^2 does not divide (n^1 + 1)*(n^2 + 2)*(n^3 + 3)*...*(n^22 + 22) for n = 7, 18, 29, 40, 51, 62, 73, 84, 95, 106, i.e., of the form 11m+7 but not 121m+117.

CROSSREFS

Sequence in context: A090098 A101865 A138391 this_sequence A017473 A061876 A103571

Adjacent sequences: A131188 A131189 A131190 this_sequence A131192 A131193 A131194

KEYWORD

nonn

AUTHOR

Alexander R. Povolotsky (pevnev(AT)juno.com), Sep 25 2007

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 2 15:58 EST 2008. Contains 150992 sequences.


AT&T Labs Research