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A213563
Antidiagonal sums of the convolution array A213561.
3
1, 10, 51, 182, 518, 1260, 2730, 5412, 9999, 17446, 29029, 46410, 71708, 107576, 157284, 224808, 314925, 433314, 586663, 782782, 1030722, 1340900, 1725230, 2197260, 2772315, 3467646, 4302585, 5298706, 6479992, 7873008, 9507080
OFFSET
1,2
FORMULA
a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7).
G.f.: x*(1 + 3 x + 2*x^2)/(1 - x)^7.
MATHEMATICA
(See A213561.)
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {1, 10, 51, 182, 518, 1260, 2730}, 40] (* Harvey P. Dale, Aug 10 2024 *)
CROSSREFS
Sequence in context: A124162 A077044 A069038 * A030183 A224327 A219573
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 18 2012
STATUS
approved