OFFSET
0,2
COMMENTS
A transformation of the Wonderful Demlo numbers (A002477).
LINKS
Colin Barker, Table of n, a(n) for n = 0..100
G. Villemin, Variations sur les carrés
Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000).
FORMULA
From Colin Barker, Jul 17 2019: (Start)
G.f.: 49*x*(1 + 10*x) / ((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.
a(n) = 49*(10^n-1)^2/81.
(End)
EXAMPLE
a(2) = 77^2 = 5929.
PROG
(PARI) concat(0, Vec(49*x*(1 + 10*x) / ((1 - x)*(1 - 10*x)*(1 - 100*x)) + O(x^20))) \\ Colin Barker, Jul 17 2019
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Michael Taylor (michael.taylor(AT)vf.vodafone.co.uk), Sep 14 2002
STATUS
approved