login
The OEIS is supported by
the many generous donors to the OEIS Foundation
.
Hints
(Greetings from
The On-Line Encyclopedia of Integer Sequences
!)
A177392
Column 1 of triangle
A177390
.
4
1, 4, 72, 4624, 683300, 178979256, 72215891104, 41253720775296, 31544658525648240, 31017951980440480000, 38057564566180231623056, 56911365875990047904578944, 101785693668820682351404925728
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
0,2
COMMENTS
Triangle T=
A177390
obeys: g.f. of row n of T^(2n) = (2n^2 + y)^n for n>=0.
LINKS
Table of n, a(n) for n=0..12.
PROG
(PARI) {a(n, p=2)=local(M=Mat(1), N, L); for(i=1, n+1, N=M; M=matrix(#N+1, #N+1, r, c, if(r>=c, if(r<=#N, (N^(p*(#N)))[r, c], polcoeff((x+p*(#M)^2)^(#M), c-1)))); L=sum(i=1, #M, -(M^0-M)^i/i); M=sum(i=0, #M, (L/p/(#N))^i/i!); ); M[n+2, 2]}
CROSSREFS
Cf.
A177390
,
A177391
,
A177393
,
A177394
.
Sequence in context:
A224900
A012995
A076744
*
A158269
A024257
A152653
Adjacent sequences:
A177389
A177390
A177391
*
A177393
A177394
A177395
KEYWORD
nonn
AUTHOR
Paul D. Hanna
, May 25 2010
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 March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)