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A083580 Binomial transform of A083579. 2
0, 1, 3, 10, 34, 114, 374, 1202, 3798, 11842, 36550, 111954, 340982, 1034210, 3127206, 9434866, 28419286, 85503618, 257035142, 772219538, 2319017910, 6962034466, 20896589158, 62711787570, 188181500054, 564640969154 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..25.

Index entries for linear recurrences with constant coefficients, signature (7,-16,12).

FORMULA

a(n)=2*3^n/3-5*0^n/12-(n+1)2^(n-2).

G.f.: x*(1-4*x+5*x^2)/((1-2*x)^2*(1-3*x)). [Colin Barker, Apr 16 2012]

EXAMPLE

a(0)=2/3-5/12-1/4=0 (use 0^0=1).

CROSSREFS

Sequence in context: A308499 A034215 A193036 * A255631 A289601 A291337

Adjacent sequences:  A083577 A083578 A083579 * A083581 A083582 A083583

KEYWORD

easy,nonn

AUTHOR

Paul Barry, May 01 2003

STATUS

approved

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Last modified November 29 08:47 EST 2020. Contains 338762 sequences. (Running on oeis4.)