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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 (list; graph; refs; listen; history; text; internal format)
 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). LINKS Table of n, a(n) for n=0..21. Index entries for linear recurrences with constant coefficients, signature (11,-19,9). 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 Adjacent sequences: A338183 A338184 A338185 * A338187 A338188 A338189 KEYWORD nonn,easy AUTHOR Georg Fischer, Oct 15 2020 STATUS approved

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Last modified June 9 11:04 EDT 2023. Contains 363178 sequences. (Running on oeis4.)