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A213776
Antidiagonal sums of the convolution array A213774.
3
1, 8, 30, 81, 184, 376, 717, 1304, 2294, 3941, 6656, 11104, 18361, 30168, 49342, 80441, 130840, 212472, 344645, 558600, 904886, 1465293, 2372160, 3839616, 6214129, 10056296, 16273182, 26332449, 42608824, 68944696, 111557181
OFFSET
1,2
FORMULA
a(n) = 4*a(n-1) - 5*a(n-2) + a(n-3) + 2*a(n-4) - a(n-5).
G.f.: f(x)/g(x), where f(x) = x*(1 + 4*x + 3*x^2) and g(x) = (1 - x - x^2)*(1 - x)^3.
a(n) = 6*Fibonacci(n+6) - Lucas(n+5) - 2*n*(2*n+9) - 37. - Ehren Metcalfe, Jul 10 2019
MATHEMATICA
(See A213774.)
CROSSREFS
Sequence in context: A002417 A126858 A232772 * A113751 A343520 A107233
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Jun 21 2012
STATUS
approved