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A112495 Third column of triangle A112493 used for e.g.f.s of Stirling2 diagonals. 4
3, 25, 130, 546, 2037, 7071, 23436, 75328, 237127, 735813, 2260518, 6896046, 20933673, 63325051, 191088976, 575625900, 1731858075, 5206059585, 15640198410, 46966732090, 140996664733, 423191320215, 1269993390420 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (10, -40, 82, -91, 52, -12).

FORMULA

a(n) = 3*a(n-1)+ (n+3)*(2^(n+2)-(n+3)), n>=1, a(0)=3.

G.f.: (3-5*x)/(((1-x)^3)*((1-2*x)^2)*(1-3*x)).

MATHEMATICA

CoefficientList[Series[(3 - 5*x)/(((1 - x)^3)*((1 - 2*x)^2)*(1 - 3*x)), {x, 0, 50}], x] (* G. C. Greubel, Nov 13 2017 *)

PROG

(PARI) x='x+O('x^50); Vec((3-5*x)/(((1-x)^3)*((1-2*x)^2)*(1-3*x))) \\ G. C. Greubel, Nov 13 2017

CROSSREFS

Cf. A000295 (second column).

Column k=2 of A124324 (shifted).

Sequence in context: A215773 A099868 A243228 * A034578 A265874 A144646

Adjacent sequences:  A112492 A112493 A112494 * A112496 A112497 A112498

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Oct 14 2005

STATUS

approved

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Last modified June 26 00:10 EDT 2019. Contains 324367 sequences. (Running on oeis4.)