A115130 Partial sums of A005557.

42, 174, 471, 1043, 2044, 3682, 6230, 10038, 15546, 23298, 33957, 48321, 67340, 92134, 124012, 164492, 215322, 278502, 356307, 451311, 566412, 704858, 870274, 1066690, 1298570, 1570842, 1888929, 2258781, 2686908, 3180414, 3747032

Offset

0,1

Links

Table of n, a(n) for n=0..30.

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

G.f.: (42-120*x+135*x^2-70*x^3+14*x^4)/(1-x)^7.

a(n)=A115127(n+5, 5), n>=1.

Mathematica

Accumulate[LinearRecurrence[{6, -15, 20, -15, 6, -1}, {42, 132, 297, 572, 1001, 1638}, 40]] (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {42, 174, 471, 1043, 2044, 3682, 6230}, 40] (* Harvey P. Dale, Feb 22 2024 *)

Crossrefs

Cf. A115129 (fourth column of A115127).

Sequence in context: A217050 A134385 A232329 * A116871 A158484 A154047

Adjacent sequences: A115127 A115128 A115129 * A115131 A115132 A115133

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 13 2006

Status

approved