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A213767
Antidiagonal sums of the convolution array A213765.
3
1, 5, 17, 47, 114, 254, 533, 1071, 2083, 3951, 7348, 13452, 24313, 43481, 77077, 135615, 237094, 412234, 713325, 1229155, 2110151, 3610655, 6159912, 10481112, 17790769, 30132269, 50933273, 85936271, 144750618, 243438806
OFFSET
1,2
FORMULA
a(n) = 4*a(n-1)-4*a(n-2)-2*a(n-3)+4*a(n-4)-a(n-6).
G.f.: f(x)/g(x), where f(x) = x*(1 + x + x^2 + x^3) and g(x) = (1 - 2*x + x^3)^2.
a(n) = n*Fibonacci(n+5) - Lucas(n+6) + 2*(2*n+9). - Ehren Metcalfe, Jul 10 2019
MATHEMATICA
(See A213765.)
CROSSREFS
Sequence in context: A332358 A011853 A215053 * A320854 A136303 A268783
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 21 2012
STATUS
approved