OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..1000
László Németh, Pascal pyramid in the space H^2 x R, arXiv:1701.06022 [math.CO], 2017 (6th line of Table 2).
Index entries for linear recurrences with constant coefficients, signature (8,-19,14).
FORMULA
a(n) = 8*a(n-1) - 19*a(n-2) + 14*a(n-3), n >= 3.
From Colin Barker, Oct 07 2017: (Start)
G.f.: (1 - x)*(1 - 4*x) / ((1 - 2*x)*(1 - 6*x + 7*x^2)).
a(n) = (2^(2+n) - (3-sqrt(2))^n*(1+sqrt(2)) + (-1+sqrt(2))*(3+sqrt(2))^n) / 2.
(End)
PROG
(PARI) Vec((1 - x)*(1 - 4*x) / ((1 - 2*x)*(1 - 6*x + 7*x^2)) + O(x^30)) \\ Colin Barker, Oct 07 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Eric M. Schmidt, Oct 03 2017
STATUS
approved