OFFSET
0,2
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..499
Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).
FORMULA
G.f.: (1 + 404*x - 900*x^2)/((1 - x)*(1 - 10*x)*(1 - 100*x)).
a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2.
E.g.f.: exp(x)*(50*exp(99*x) - 36*exp(9*x) - 5)/9. - Elmo R. Oliveira, Dec 17 2025
MAPLE
A332151 := n -> 5*(10^(2*n+1)-1)/9-4*10^n;
MATHEMATICA
Array[5 (10^(2 # + 1)-1)/9 - 4*10^# &, 15, 0]
Table[With[{c=PadRight[{}, n, 5]}, FromDigits[Join[c, {1}, c]]], {n, 0, 20}] (* Harvey P. Dale, Mar 16 2021 *)
PROG
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
M. F. Hasler, Feb 09 2020
STATUS
approved