OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (7,-19,25,-16,4).
FORMULA
a(n) = (n^2+11*n+34)/2 + (n-2)*2^(n+3).
G.f.: 1/((1-2*x)^2*(1-x)^3).
a(n) = Sum_{k=1..n+4} Sum_{i=1..n+4} (i-k) * C(n-k+4,i). - Wesley Ivan Hurt, Sep 19 2017
E.g.f.: exp(x)*(34 + 32*exp(x)*(x - 1) + 12*x + x^2)/2. - Stefano Spezia, Mar 26 2026
MATHEMATICA
Table[(n^2 + 11 n + 34)/2 + (n - 2)*2^(n + 3), {n, 0, 26}] (* or *)
CoefficientList[Series[1/((1 - 2 x)^2*(1 - x)^3), {x, 0, 26}], x] (* Michael De Vlieger, Sep 21 2017 *)
PROG
(PARI) Vec(1/((1-2*x)^2*(1-x)^3) + O(x^40)) \\ Michel Marcus, Sep 20 2017
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
EXTENSIONS
a(27)-a(30) from Stefano Spezia, Mar 26 2026
STATUS
approved