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

Author

Wolfdieter Lang, Jan 13 2006

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A115129 (fourth column of A115127).

Programs

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 *)

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.