A028212 Expansion of 1/((1-6x)(1-8x)(1-9x)(1-12x)).

1, 35, 775, 13895, 220591, 3239495, 45114175, 605081015, 7896440431, 100983137255, 1271943884575, 15837914099735, 195494604120271, 2397051804927815, 29242027752046975, 355340314794184055, 4305125050033912111, 52039828472216683175, 627954645427055761375

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 0..925
• Index entries for linear recurrences with constant coefficients, signature (35,-450,2520,-5184)

Programs

Mathematica

CoefficientList[Series[1/((1-6x)(1-8x)(1-9x)(1-12x)),{x,0,20}],x] (* or *) LinearRecurrence[{35,-450,2520,-5184},{1,35,775,13895},20] (* Harvey P. Dale, Mar 13 2025 *)

Formula

a(n) = 8^(n+2) - 9^(n+2) + 2*12^(n+1) - 6^(n+1). - R. J. Mathar, Mar 14 2011

a(n) = 35*a(n-1) - 450*a(n-2) + 2520*a(n-3) - 5184*a(n-4); a(0)=1, a(1)=35, a(2)=775, a(3)=13895. - Vincenzo Librandi, Mar 14 2011