Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A158041
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A158041 Determinant of power series of gamma matrix with determinant 3! +0
12
6, 372, 8862, 148800, 2096886, 26922756, 332847654, 4138425600, 53260806102, 715168132932, 9918365312598, 139707565435200, 1971543518031366, 27670255890476676, 385457279875640742, 5335884957031756800 (list; graph; listen)
OFFSET

0,1

COMMENT

a(n) = Determinant( A+A^2+ A^3+ A^4+ A^5+... A^n)

where A is the submatrix A(1..4,1..4)= of the matrix with factorial determinant

A= [[1,1,1,1,1,1,...],[1,2,1,2,1,2,...],[1,2,3,1,2,3,...],[1,2,3,4,1,2,...],

[1,2,3,4,5,1,...],[1,2,3,4,5,6,...],...] note: Determinant A(1..n,1..n)= (n-1)!

REFERENCES

"Le sequenze di numeri interi", G. Balzarotti, P.P. Lava, 2008, ed. Hoepli.

EXAMPLE

a(1)=Determinant(A)=3!=6

MAPLE

seq(Determinant(sum(A^i, i=1..n)), n=1..30);

CROSSREFS

A111490, A158040

Sequence in context: A086205 A042759 A099595 this_sequence A078207 A060871 A162137

Adjacent sequences: A158038 A158039 A158040 this_sequence A158042 A158043 A158044

KEYWORD

nonn

AUTHOR

Giorgio Balzarotti & Paolo P. Lava (greenblue(AT)tiscali.it), Mar 11 2009

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 25 20:09 EST 2009. Contains 167514 sequences.


AT&T Labs Research