A028161 Expansion of 1/((1-4*x)*(1-9*x)*(1-10*x)*(1-11*x)).

1, 34, 737, 12998, 203493, 2949042, 40498969, 534679966, 6850824365, 85749662570, 1053427606881, 12745999413654, 152297310673717, 1800758893450018, 21104410600012073, 245479747499528462

Offset

0,2

Links

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (34,-419,2186,-3960).

Formula

a(n) = (7*3^(5+2*n)-4^(2+n)-7*2^(2+n)*5^(3+n)+15*11^(2+n))/210. - Harvey P. Dale, Jun 18 2011

a(n) = 34*a(n-1) -419*a(n-2) +2186*a(n-3) -3960*a(n-4), n>=4. - Vincenzo Librandi, Mar 16 2011

a(n) = 21*a(n-1) - 110*a(n-2) + (9^(n+1)-4^(n+1))/5, a(0)=1, a(1)=34. - Vincenzo Librandi, Mar 16 2011

Mathematica

CoefficientList[Series[1/((1-4x)(1-9x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{34, -419, 2186, -3960}, {1, 34, 737, 12998}, 30] (* or *) Table[(7*3^(5+2n)-4^(2+n)-7*2^(2+n)*5^(3+n)+15*11^(2+n))/210, {n, 30}] (* Harvey P. Dale, Jun 18 2011 *)

Crossrefs

Sequence in context: A028193 A028206 A028192 * A028188 A295780 A028159

Adjacent sequences: A028158 A028159 A028160 * A028162 A028163 A028164

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved