login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A166891
Column 1 of triangle
A166890
.
3
1, 2, 9, 78, 1038, 18968, 443595, 12681960, 429244197, 16801151910, 746998729887, 37200237947376, 2051666003699226, 124156748403386646, 8180285024067867345, 582970677419310149580, 44684461723038752605932
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
COMMENTS
Triangle
A166890
transforms diagonals in the triangle
A166888
of coefficients in the successive iterations of x*(1+x)^2.
LINKS
Table of n, a(n) for n=1..17.
PROG
(PARI) {a(n)=local(F=x, M, N, P, m=n); M=matrix(m+2, m+2, r, c, F=x; for(i=1, r+c-2, F=subst(F, x, x+2*x^2+x^3+x*O(x^(m+2)))); polcoeff(F, c)); N=matrix(m+1, m+1, r, c, M[r, c]); P=matrix(m+1, m+1, r, c, M[r+1, c]); (P~*N~^-1)[n, 1]}
CROSSREFS
Cf.
A166890
,
A166892
,
A166893
.
Sequence in context:
A006041
A192551
A121131
*
A184894
A111196
A229211
Adjacent sequences:
A166888
A166889
A166890
*
A166892
A166893
A166894
KEYWORD
nonn
AUTHOR
Paul D. Hanna
, Nov 22 2009
STATUS
approved
Lookup
|
Welcome
|
Wiki
|
Register
|
Music
|
Plot 2
|
Demos
|
Index
|
Browse
|
More
|
WebCam
Contribute new seq. or comment
|
Format
|
Style Sheet
|
Transforms
|
Superseeker
|
Recents
The OEIS Community
| Maintained by
The OEIS Foundation Inc.
License Agreements, Terms of Use, Privacy Policy.
.
Last modified May 7 21:53 EDT 2024. Contains 372317 sequences. (Running on oeis4.)