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A338186
Expansion of (2-6*x-12*x^2)/((1-x)^2*(1-9*x)).
1
2, 16, 126, 1100, 9850, 88584, 797174, 7174468, 64570098, 581130752, 5230176622, 47071589436, 423644304746, 3812798742520, 34315188682470, 308836698142004, 2779530283277794, 25015772549499888, 225141952945498718, 2026277576509488172, 18236498188585393242, 164128483697268538856
OFFSET
0,1
COMMENTS
The locally small terms 4^k in A322469 occur at the positions a(k) (for k = 0..9, and probably in general; cf. conjectures in A322469).
FORMULA
a(n) = 11*a(n-1) - 19*a(n-2) + 9*a(n-3) for n >= 3.
EXAMPLE
A322469(a(4)) = A322469(9850) = 256 = 4^4.
MAPLE
f:= gfun:-rectoproc({a(n)=11*a(n-1)-19*a(n-2)+9*a(n-3), a(0)=2, a(1)=16, a(2)=126}, a(n), remember): map(f, [$0..21]);
MATHEMATICA
CoefficientList[Series[(2-6*x-12*x^2)/((1-x)^2*(1-9*x)), {x, 0, 21}], x]
PROG
(PARI) my(x='x+O('x^22)); Vec((2-6*x-12*x^2)/((1-x)^2*(1-9*x)))
CROSSREFS
Cf. A322469.
Sequence in context: A027309 A241466 A069868 * A208073 A022027 A322297
KEYWORD
nonn,easy
AUTHOR
Georg Fischer, Oct 15 2020
STATUS
approved