OFFSET
0,2
COMMENTS
M has 2 parents, 4 grandparents, and so on up to 2^n top ancestors at the top of the tree.
The genetic relatives of M are all descendants of those ancestors.
M is a genetic relative of himself or herself.
LINKS
Index entries for linear recurrences with constant coefficients, signature (15,-38,24).
FORMULA
a(n) = 2^n + 6*(12^n - 1)/11.
G.f.: (1 - 7*x)/((1 - x)*(1 - 2*x)*(1 - 12*x)). - Stefano Spezia, Dec 05 2022
MATHEMATICA
LinearRecurrence[{15, -38, 24}, {1, 8, 82}, 20] (* Hugo Pfoertner, Dec 05 2022 *)
PROG
(Python) print([2**n+6*(12**n-1)//11 for n in range(10)])
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Hans Braxmeier, Nov 23 2022
STATUS
approved