A106150 6th diagonal of triangle in A059317.

0, 0, 0, 0, 3, 22, 82, 218, 476, 914, 1603, 2628, 4089, 6102, 8800, 12334, 16874, 22610, 29753, 38536, 49215, 62070, 77406, 95554, 116872, 141746, 170591, 203852, 242005, 285558, 335052, 391062, 454198, 525106, 604469, 693008, 791483, 900694, 1021482

Offset

0,5

Links

Table of n, a(n) for n=0..38.

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 (6,-15,20,-15,6,-1).

Formula

For n>2, a(n) = (1/120) (n-3)(n^4+28n^3-71n^2-478n+1360).

From Chai Wah Wu, Mar 11 2021: (Start)

a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n > 8.

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

Prog

(PARI) a(n)=if(n>3, (n-3)*(n^4+28*n^3-71*n^2-478*n+1360)/120, 0) \\ Charles R Greathouse IV, Oct 21 2022

Crossrefs

Sequence in context: A268792 A055550 A075204 * A135836 A004305 A275290

Adjacent sequences: A106147 A106148 A106149 * A106151 A106152 A106153

Keyword

nonn,easy

Author

N. J. A. Sloane, May 28 2005

Status

approved