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Search: id:A102345
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A102345 3^n+(-1)^n. +0
3
2, 2, 10, 26, 82, 242, 730, 2186, 6562, 19682, 59050, 177146, 531442, 1594322, 4782970, 14348906, 43046722, 129140162, 387420490, 1162261466, 3486784402, 10460353202, 31381059610, 94143178826, 282429536482, 847288609442 (list; graph; listen)
OFFSET

0,1

COMMENT

a(n)=A105723(n)+2*(-1)^n; (a(n)+A105723(n))/2=A000244(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 18 2005

FORMULA

a(n)=3a(n-2)+2a(n-1).

MAPLE

g:=1/(1+3*z): gser:=series(g, z=0, 43): seq(abs(coeff(gser, z, n)+1), n=0..31); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 09 2009]

PROGRAM

(Other) sage: [lucas_number2(n, 2, -3) for n in xrange(0, 26)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 30 2009]

CROSSREFS

Apart from leading term, same as A084182.

Sequence in context: A151456 A151389 A151428 this_sequence A151364 A001885 A078433

Adjacent sequences: A102342 A102343 A102344 this_sequence A102346 A102347 A102348

KEYWORD

easy,nonn

AUTHOR

Graeme McRae (g_m(AT)mcraefamily.com), Feb 16 2005

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.


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