OFFSET
0,3
COMMENTS
Previous name: "Sequence whose n-th term digits sum to n."
n-th term digits are reversals of A094623(n).
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (0,11,0,-10).
FORMULA
a(n) = 10^(n/2)*(11/18 + 11*sqrt(10)/180 - (11*sqrt(10)/180 - 11/18)(-1)^n) - 13/18 - (-1)^n/2.
From Colin Barker, Dec 01 2015: (Start)
a(n) = 11*a(n-2) - 10*a(n-4) for n > 3.
G.f.: x*(1+11*x+x^2) / ((1-x)*(1+x)*(1-10*x^2)). (End)
E.g.f.: (110*(cosh(sqrt(10)*x) - cosh(x)) + 11*sqrt(10)*sinh(sqrt(10)*x) - 20*sinh(x))/90. - Stefano Spezia, Feb 21 2024
MATHEMATICA
LinearRecurrence[{0, 11, 0, -10}, {0, 1, 11, 12}, 30] (* Paolo Xausa, Feb 22 2024 *)
PROG
(PARI) concat(0, Vec(x*(1+11*x+x^2)/((1-x)*(1+x)*(1-10*x^2)) + O(x^40))) \\ Colin Barker, Dec 01 2015
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Paul Barry, May 15 2004
STATUS
approved