OFFSET
0,2
COMMENTS
From a suggestion of Yalcin Aktar
LINKS
Index entries for linear recurrences with constant coefficients, signature (22,-141,220,-100).
FORMULA
a(n) = s(3, n-1) where s(a, k)=a*(k+1)+a^2*sum(i=0, k, i*10^(k-i))+sum(i=0, k, 5*a*(9*(k-i)+a- 1)*10^(k-i-1))
a(n) = 22*a(n-1)-141*a(n-2)+220*a(n-3)-100*a(n-4). - T. D. Noe, Nov 08 2006
a(n) = (-11/9*(-1+10^n)+1/2*(4+3*10^n)*n). G.f.: 3*x*(5*x+1)*(7*x+2) / ((x-1)^2*(10*x-1)^2). - Colin Barker, Jun 14 2013
MATHEMATICA
LinearRecurrence[{22, -141, 220, -100}, {0, 6, 183, 3285}, 20] (* Harvey P. Dale, Apr 19 2013 *)
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Benoit Cloitre, Nov 14 2003
EXTENSIONS
Corrected by T. D. Noe, Nov 08 2006
STATUS
approved