OFFSET
0,6
COMMENTS
a(n) is a 6th degree polynomial in n.
LINKS
W. F. Klostermeyer, M. E. Mays, L. Soltes and G. Trapp, A Pascal rhombus, Fibonacci Quarterly, 35 (1997), 318-328.
Index entries for linear recurrences with constant coefficients, signature (7, -21, 35, -35, 21, -7, 1).
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)
MATHEMATICA
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {0, 0, 0, 0, 1, 13, 72, 255, 691, 1574, 3177}, 40] (* Harvey P. Dale, Jun 26 2022 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 28 2005
STATUS
approved