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A084858 Binomial transform of A001651. 5
1, 3, 9, 24, 60, 144, 336, 768, 1728, 3840, 8448, 18432, 39936, 86016, 184320, 393216, 835584, 1769472, 3735552, 7864320, 16515072, 34603008, 72351744, 150994944, 314572800, 654311424, 1358954496, 2818572288, 5838471168, 12079595520 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(n+1)/3=A001792(n).

LINKS

Index to sequences with linear recurrences with constant coefficients, signature (4,-4).

FORMULA

G.f.: (x^2-x+1)/(1-2x)^2; a(n)=3(0^n/3+2^n+n*2^n)/4.

For n>1 : a(n)=2*a(n-1)+3*2^(n-2). - From DELEHAM Philippe, Nov 10 2011.

PROG

(PARI) a(n)=3*(0^n/3+2^n+n<<n)/4 \\ Charles R Greathouse IV, Nov 11 2011

CROSSREFS

Sequence in context: A120539 A086796 A034330 * A003262 A189162 A079282

Adjacent sequences:  A084855 A084856 A084857 * A084859 A084860 A084861

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Jun 11 2003

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.