|
Search: id:A030526
|
|
| |
|
| 1, 10, 1, 80, 20, 1, 560, 260, 30, 1, 3584, 2720, 540, 40, 1, 21504, 24768, 7480, 920, 50, 1, 122880, 204288, 87552, 15840, 1400, 60, 1, 675840, 1562880, 908352, 225936, 28800, 1980, 70, 1, 3604480, 11264000, 8595200, 2813696, 483920, 47360, 2660, 80
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
a(n,m) := s1p(5; n,m), a member of a sequence of unsigned triangles including s1p(2; n,m)= A007318(n-1,m-1) (Pascal's triangle). Signed version: (-1)^(n-m)*a(n,m) := s1(5; n,m).
|
|
LINKS
|
W. Lang, On generalizations of Stirling number triangles, J. Integer Seqs., Vol. 3 (2000), #00.2.4.
|
|
FORMULA
|
a(n, m) = 4*(4*m+n-1)*a(n-1, m)/n + m*a(n-1, m-1)/n, n >= m >= 1; a(n, m) := 0, n<m; a(n, 0) := 0; a(1, 1)=1. G.f. for m-th column: (x*(1-6*x+16*x^2-16*x^3)/(1-4*x)^4)^m.
|
|
EXAMPLE
|
{1}; {10,1}; {80,20,1}; {560,260,30,1}; {3584,2720,540,40,1}; ...
|
|
CROSSREFS
|
a(n, 1)= A036070(n-1). Row sums = A045624(n).
Adjacent sequences: A030523 A030524 A030525 this_sequence A030527 A030528 A030529
Sequence in context: A050304 A009209 A009227 this_sequence A038303 A075505 A130310
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
|
|
|
Search completed in 0.002 seconds
|
