OFFSET
0,2
REFERENCES
N. G. de Bruijn, Polya's theory of counting, in Beckenbach, ed., Applied Combinatorial Math., Wiley, 1964 (p. 182).
J.-P. Delahaye, 'Le miraculeux "lemme de Burnside"','La bande de chiffres' pp 146 in 'Pour la Science' (French edition of 'Scientific American') No.350 December 2006 Paris.
LINKS
Colin Barker, Table of n, a(n) for n = 0..400
Index entries for linear recurrences with constant coefficients, signature (130,-3125,12500).
FORMULA
a(n) = 10^(2*n) - 5^(2*n)/2 + 5^n/2.
From Colin Barker, Jul 03 2017: (Start)
G.f.: (1 - 40*x + 1125*x^2) / ((1 - 5*x)*(1 - 25*x)*(1 - 100*x)).
a(n) = 130*a(n-1) - 3125*a(n-2) + 12500*a(n-3) for n>2.
(End)
PROG
(PARI) Vec((1 - 40*x + 1125*x^2) / ((1 - 5*x)*(1 - 25*x)*(1 - 100*x)) + O(x^30)) \\ Colin Barker, Jul 03 2017
CROSSREFS
KEYWORD
nonn,easy,base
AUTHOR
STATUS
approved