A145729 Partial sums of A052379.

0, 8, 80, 664, 5344, 42792, 342384, 2739128, 21913088, 175304776, 1402438288, 11219506392, 89756051232, 718048409960, 5744387279792, 45955098238456, 367640785907776, 2941126287262344, 23529010298098896, 188232082384791320

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..400

Index entries for linear recurrences with constant coefficients, signature (10,-17,8).

Formula

a(n) = sum_{i=0..n-1} A052379(i).

a(n) = 8*(8^(n+1)-7*n-8)/49 = 8*A014831(n) = 2*A145730(n). - R. J. Mathar, Oct 21 2008

a(n) = 10*a(n-1)-17*a(n-2)+8*a(n-3). G.f.: -8*x / ((x-1)^2*(8*x-1)). - Colin Barker, Oct 27 2014

Mathematica

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

Prog

(Magma) [8*(8^(n+1)-7*n-8)/49 : n in [0..20]]; // Vincenzo Librandi, Jul 04 2011
(PARI) concat(0, Vec(-8*x/((x-1)^2*(8*x-1)) + O(x^100))) \\ Colin Barker, Oct 27 2014

Crossrefs

Cf. A052379.

Sequence in context: A043035 A165760 A166157 * A280121 A182604 A320074

Adjacent sequences: A145726 A145727 A145728 * A145730 A145731 A145732

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Oct 17 2008

Extensions

Edited by R. J. Mathar, Oct 21 2008

Status

approved