A115129 Partial sums of A005587. Fourth column of triangle A115127.

14, 56, 146, 311, 586, 1015, 1652, 2562, 3822, 5522, 7766, 10673, 14378, 19033, 24808, 31892, 40494, 50844, 63194, 77819, 95018, 115115, 138460, 165430, 196430, 231894, 272286, 318101, 369866, 428141, 493520, 566632, 648142, 738752, 839202

Offset

0,1

Links

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

G.f.: (14 - 28*x + 20*x^2 - 5*x^3)/(1 - x)^6.

a(n)=A115127(n+4, 4), n>=1.

a(0)=14, a(1)=56, a(2)=146, a(3)=311, a(4)=586, a(5)=1015, a(n)= 6*a(n-1)- 15*a(n-2)+ 20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - Harvey P. Dale, Apr 24 2016

Mathematica

LinearRecurrence[{6, -15, 20, -15, 6, -1}, {14, 56, 146, 311, 586, 1015}, 40] (* or *) CoefficientList[Series[(14-28x+20x^2-5x^3)/(1-x)^6, {x, 0, 40}], x] (* Harvey P. Dale, Apr 24 2016 *)

Crossrefs

Cf. A024191 (third column of A115127).

Sequence in context: A144555 A192846 A212347 * A281200 A212341 A067326

Adjacent sequences: A115126 A115127 A115128 * A115130 A115131 A115132

Keyword

nonn,easy

Author

Wolfdieter Lang, Jan 13 2006

Status

approved