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A145766 Partial sums of A020988. 1
0, 2, 12, 54, 224, 906, 3636, 14558, 58248, 233010, 932060, 3728262, 14913072, 59652314, 238609284, 954437166, 3817748696, 15270994818, 61083979308, 244335917270, 977343669120, 3909374676522, 15637498706132, 62549994824574 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-9,4).

FORMULA

a(n) = Sum_{i=0..n} A020988(i). a(n+1)-a(n)=A020988(n+1).

a(n) = 2*(4^(n+1)-3n-4)/9 = 2*A014825(n). - R. J. Mathar, Oct 21 2008

G.f.: 2*x/((1-x)^2*(1-4*x)). [Colin Barker, Jan 11 2012]

a(n) = 6*a(n-1)-9*a(n-2)+4*a(n-3), for n>2, with {a(k)}={0,2,12}, k=0,1,2. - L. Edson Jeffery, Mar 01 2012

MATHEMATICA

lst={}; s=0; Do[s+=(s+=n+s); AppendTo[lst, s], {n, 0, 5!}]; lst

Accumulate[LinearRecurrence[{5, -4}, {0, 2}, 30]] (* or *) LinearRecurrence[ {6, -9, 4}, {0, 2, 12}, 30] (* Harvey P. Dale, Sep 25 2013 *)

CROSSREFS

Cf. A020988.

Sequence in context: A006738 A212697 A111642 * A181765 A198150 A122676

Adjacent sequences:  A145763 A145764 A145765 * A145767 A145768 A145769

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Oct 18 2008

EXTENSIONS

Edited by R. J. Mathar, Oct 21 2008

STATUS

approved

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Last modified August 8 02:45 EDT 2020. Contains 336290 sequences. (Running on oeis4.)