A178419 Partial sums of A006431.

0, 1, 3, 6, 11, 17, 24, 32, 43, 57, 72, 95, 119, 151, 207, 303, 431, 655, 1039, 1551, 2447, 3983, 6031, 9615, 15759, 23951, 38287, 62863, 95631, 152975, 251279, 382351, 611727, 1004943, 1529231, 2446735, 4019599, 6116751, 9786767, 16078223

Offset

1,3

Links

Table of n, a(n) for n=1..40.

Index entries for linear recurrences with constant coefficients, signature (1,0,4,-4).

Formula

a(n) = Sum_{i=1..n} A006431(i).

G.f.: -x^2*(36*x^13 +28*x^12 +32*x^11 +21*x^10 +17*x^9 +14*x^8 +13*x^7 +12*x^6 +5*x^5 +2*x^4 -x^3 -3*x^2 -2*x -1) / ((x -1)*(4*x^3 -1)). - Colin Barker, Apr 20 2013

Crossrefs

Cf. A006431.

Sequence in context: A332410 A194142 A174648 * A065504 A071619 A025735

Adjacent sequences: A178416 A178417 A178418 * A178420 A178421 A178422

Keyword

nonn,easy

Author

Jonathan Vos Post, May 27 2010

Status

approved