login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A106173 7th diagonal of triangle in A059317. 1
0, 0, 0, 0, 1, 13, 72, 255, 691, 1574, 3177, 5867, 10121, 16543, 25882, 39051, 57147, 81472, 113555, 155175, 208385, 275537, 359308, 462727, 589203, 742554, 927037, 1147379, 1408809, 1717091, 2078558, 2500147, 2989435, 3554676, 4204839, 4949647, 5799617 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

a(n) is a 6th degree polynomial in n.

LINKS

Table of n, a(n) for n=0..36.

W. F. Klostermeyer, M. E. Mays, L. Soltes and G. Trapp, A Pascal rhombus, Fibonacci Quarterly, 35 (1997), 318-328.

FORMULA

From Chai Wah Wu, Feb 28 2018: (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 > 10.

G.f.: x^4*(x^6 - 6*x^5 + 2*x^4 + 11*x^3 - 2*x^2 - 6*x - 1)/(x - 1)^7. (End)

CROSSREFS

Sequence in context: A104132 A096913 A026916 * A094943 A189605 A000470

Adjacent sequences:  A106170 A106171 A106172 * A106174 A106175 A106176

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, May 28 2005

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 24 01:07 EDT 2021. Contains 345404 sequences. (Running on oeis4.)