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

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..500

Index entries for linear recurrences with constant coefficients, signature (4,-4,-2,4,0,-1).

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

Cf. A213765, A213500.

Sequence in context: A253427 A011853 A215053 * A320854 A136303 A268783

Adjacent sequences:  A213764 A213765 A213766 * A213768 A213769 A213770

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Jun 21 2012

STATUS

approved

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Last modified December 5 15:11 EST 2019. Contains 329753 sequences. (Running on oeis4.)