login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A090392 Seventh diagonal (m=6) of triangle A084938; a(n) = A084938(n+6,n) = (n^6 + 45*n^5 + 925*n^4 + 11475*n^3 + 92314*n^2 + 413640*n)/720. 2
0, 720, 1812, 3428, 5768, 9090, 13721, 20069, 28636, 40032, 54990, 74382, 99236, 130754, 170331, 219575, 280328, 354688, 445032, 554040, 684720, 840434, 1024925, 1242345, 1497284, 1794800, 2140450, 2540322, 3001068, 3529938, 4134815 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = A084938(n+6, n) = Sum_{k=0..6} A090238(6, k)*binomial(n, k).
From Chai Wah Wu, Jun 04 2016: (Start)
a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n > 6.
G.f.: x*(461*x^5 - 2482*x^4 + 5376*x^3 - 5864*x^2 + 3228*x - 720)/(x - 1)^7. (End)
MATHEMATICA
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 720, 1812, 3428, 5768, 9090, 13721}, 40] (* Harvey P. Dale, Jul 20 2016 *)
PROG
(Python)
A090392_list, m = [], [1, 5, 18, 58, 177, 461, 0]
for _ in range(1001):
A090392_list.append(m[-1])
print(m[-1])
for i in range(6):
m[i+1] += m[i] # Chai Wah Wu, Jun 04 2016
CROSSREFS
Sequence in context: A302127 A291804 A131663 * A253734 A112530 A052800
KEYWORD
easy,nonn
AUTHOR
Philippe Deléham, Jan 31 2004
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 July 17 22:17 EDT 2024. Contains 374377 sequences. (Running on oeis4.)