OFFSET
0,2
COMMENTS
Inverse binomial transform of A016273.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (7,-14,8).
FORMULA
a(n) = (25*4^n - 27*2^n + 8)/6.
G.f.: (1+x)^2/((1-x)*(1-2*x)*(1-4*x)).
E.g.f.: exp(x)*(8 - 27*exp(x) + 25*exp(3*x))/6. - Stefano Spezia, Sep 27 2023
PROG
(PARI) {m=23; v=concat([1, 9], vector(m-2)); for(n=3, m, v[n]=6*v[n-1]-8*v[n-2]+4); v}
(Magma) [(25*4^n-27*2^n+8)/6: n in [0..30]]; // Vincenzo Librandi, Jul 18 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Dec 09 2009
STATUS
approved