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A145655 Partial sums of A080674. 1
4, 24, 108, 448, 1812, 7272, 29116, 116496, 466020, 1864120, 7456524, 29826144, 119304628, 477218568, 1908874332, 7635497392, 30541989636, 122167958616, 488671834540, 1954687338240, 7818749353044, 31274997412264 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..22.

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

FORMULA

a(n) = sum_{i=0..n} A080674(i). a(n+1)-a(n) = A080674(n+1).

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

G.f.: 4x/((1-x)^2(1-4x)). - R. J. Mathar, Oct 21 2008

a(1)=4, a(2)=24, a(3)=108, a(n)=6*a(n-1)-9*a(n-2)+4*a(n-3). - Harvey P. Dale, Nov 27 2013

MATHEMATICA

lst={}; s=0; Do[s+=(s+=(s+=n)); AppendTo[lst, s], {n, 3*4!}]; lst

Accumulate[Table[4(4^n-1)/3, {n, 0, 40}]] (* or *) LinearRecurrence[{6, -9, 4}, {0, 4, 24}, 40] (* Harvey P. Dale, Nov 27 2013 *)

CROSSREFS

Cf. A080674.

Sequence in context: A165752 A166036 A120908 * A265975 A306610 A059153

Adjacent sequences:  A145652 A145653 A145654 * A145656 A145657 A145658

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Oct 16 2008

EXTENSIONS

Edited by R. J. Mathar, Oct 21 2008

STATUS

approved

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Last modified August 17 05:07 EDT 2022. Contains 356184 sequences. (Running on oeis4.)