OFFSET
1,2
LINKS
Paolo Xausa, Table of n, a(n) for n = 1..500
Index entries for linear recurrences with constant coefficients, signature (47,-575,529).
FORMULA
G.f.: x/((1 - x)*(1 - 23*x)^2). - Stefano Spezia, Mar 11 2020
From Elmo R. Oliveira, May 22 2025: (Start)
E.g.f.: exp(x)*(1 + exp(22*x)*(506*x - 1))/484.
a(n) = (23^n*(22*n - 1) + 1)/484.
a(n) = 46*a(n-1) - 529*a(n-2) + 1 for n > 2.
a(n) = 47*a(n-1) - 575*a(n-2) + 529*a(n-3) for n >= 4. (End)
MATHEMATICA
LinearRecurrence[{47, -575, 529}, {1, 47, 1634}, 25] (* Paolo Xausa, May 29 2025 *)
PROG
(PARI) a(n) = (1+23^n*(22*n-1))/484; \\ Jinyuan Wang, Mar 11 2020
(PARI) my(x='x+O('x^19)); Vec(-x/((x-1)*(23*x-1)^2)) \\ Elmo R. Oliveira, May 22 2025
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
More terms from Elmo R. Oliveira, May 22 2025
STATUS
approved