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A115129 Partial sums of A005587. Fourth column of triangle A115127. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jan 13 2006
STATUS
approved

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Last modified February 26 07:39 EST 2024. Contains 370335 sequences. (Running on oeis4.)