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A027982 Sum{(k+1)*T(n,2n-k)}, 0<=k<=2n, T given by A027960. 1
1, 10, 38, 108, 270, 632, 1426, 3148, 6854, 14784, 31674, 67508, 143278, 303016, 638882, 1343388, 2817942, 5898128, 12320650, 25689988, 53477246, 111148920, 230686578, 478150508, 989855590, 2046820192, 4227858266, 8724152148, 17985175374, 37044092744 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Colin Barker, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-13,12,-4).

FORMULA

From Colin Barker, Nov 25 2014: (Start)

a(n) = (-10+11*2^n+2*(-3+2^n)*n).

a(n) = 6*a(n-1)-13*a(n-2)+12*a(n-3)-4*a(n-4).

G.f.: -(2*x^3+9*x^2-4*x-1) / ((x-1)^2*(2*x-1)^2).

(End)

MATHEMATICA

LinearRecurrence[{6, -13, 12, -4}, {1, 10, 38, 108}, 40] (* Harvey P. Dale, Oct 28 2020 *)

PROG

(PARI) Vec(-(2*x^3+9*x^2-4*x-1)/((x-1)^2*(2*x-1)^2) + O(x^100)) \\ Colin Barker, Nov 25 2014

CROSSREFS

Sequence in context: A257051 A250420 A136840 * A064603 A164298 A050479

Adjacent sequences:  A027979 A027980 A027981 * A027983 A027984 A027985

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Colin Barker, Nov 25 2014

STATUS

approved

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Last modified June 18 20:45 EDT 2021. Contains 345121 sequences. (Running on oeis4.)