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A027971 T(n,2n-9), T given by A027960. 2
3, 7, 18, 47, 123, 319, 806, 1954, 4506, 9859, 20495, 40615, 77040, 140455, 247085, 420906, 696509, 1122751, 1767344, 2722551, 4112177, 6100063, 8900312, 12789498, 18121132, 25342683, 35015477, 47837823, 64671742 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,1

LINKS

Colin Barker, Table of n, a(n) for n = 5..1000

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

FORMULA

a(n) = (17055360 -16329024*n +7697736*n^2 -2299060*n^3 +462798*n^4 -60207*n^5 +4284*n^6 -30*n^7 -18*n^8 +n^9)/362880. - Colin Barker, Nov 25 2014

G.f.: -x^5*(2*x-3)*(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1) / (x-1)^10. - Colin Barker, Nov 25 2014

MATHEMATICA

LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {3, 7, 18, 47, 123, 319, 806, 1954, 4506, 9859}, 40] (* Harvey P. Dale, Aug 04 2017 *)

PROG

(PARI) Vec(-x^5*(2*x-3)*(x^8-7*x^7+23*x^6-44*x^5+55*x^4-44*x^3+23*x^2-7*x+1)/(x-1)^10 + O(x^100)) \\ Colin Barker, Nov 25 2014

CROSSREFS

A column of triangle A027011.

Sequence in context: A026107 A173765 A027969 * A219233 A211276 A018028

Adjacent sequences:  A027968 A027969 A027970 * A027972 A027973 A027974

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified February 17 02:33 EST 2019. Contains 320200 sequences. (Running on oeis4.)