Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A158040
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A158040 Determinant of power series of gamma matrix with determinant 2! +0
13
2, 32, 258, 1664, 9710, 53664, 286762, 1497600, 7691238, 38995360, 195696226, 973894272, 4812812446, 23642953376, 115552680090, 562240972800, 2724987988054, 13161369525408, 63371643947474, 304287501281920 (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..3,1..3)= 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)=2!=2

MAPLE

seq(Determinant(sum(A2^i, i=1..n)), n=1..30);

CROSSREFS

A111490

Sequence in context: A053053 A053054 A035602 this_sequence A079766 A053065 A091707

Adjacent sequences: A158037 A158038 A158039 this_sequence A158041 A158042 A158043

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 30 13:13 EST 2009. Contains 167758 sequences.


AT&T Labs Research