A027010 - OEIS

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A027010

a(n) = Sum_{k=floor((n+1)/2)..n} T(k,n-k); i.e., a(n) is the n-th diagonal sum of left-justified array T given by A026998.

1, 1, 2, 5, 6, 13, 17, 29, 43, 64, 100, 144, 223, 326, 492, 733, 1089, 1634, 2421, 3626, 5389, 8041, 11985, 17847, 26624, 39640, 59112, 88059, 131242, 195592, 291433, 434369, 647218, 964581, 1437374, 2142013, 3192113, 4756821

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

FORMULA

G.f.: x*(2x^3-x^2+1)/((1-x)*(1-2x^2-x^3+x^4)).

MATHEMATICA

CoefficientList[Series[(2 x^3 - x^2 + 1) / ((1 - x) (1 - 2 x^2 - x^3 + x^4)), {x, 0, 40}], x] (* Vincenzo Librandi, Aug 03 2017 *)

CROSSREFS

Sequence in context: A325285 A323348 A181314 * A038191 A321472 A087128

Adjacent sequences: A027007 A027008 A027009 * A027011 A027012 A027013

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved