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A213846
Antidiagonal sums of the convolution array A213844.
3
3, 23, 90, 250, 565, 1113, 1988, 3300, 5175, 7755, 11198, 15678, 21385, 28525, 37320, 48008, 60843, 76095, 94050, 115010, 139293, 167233, 199180, 235500, 276575, 322803, 374598, 432390, 496625, 567765
OFFSET
1,1
FORMULA
a(n) = n*(1 + n)*(1 - 2*n + 4*n^2)/6.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5).
G.f.: f(x)/g(x), where f(x) = x*(3 + 8*x + 5*x^2) and g(x) = (1-x)^5.
MATHEMATICA
(See A213846.)
CROSSREFS
Cf. A213846.
Sequence in context: A024196 A196339 A196318 * A376963 A301580 A112459
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jul 05 2012
STATUS
approved