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Search: id:A102345
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| 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)
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OFFSET
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0,1
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COMMENT
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a(n)=A105723(n)+2*(-1)^n; (a(n)+A105723(n))/2=A000244(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 18 2005
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FORMULA
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a(n)=3a(n-2)+2a(n-1).
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MAPLE
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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]
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PROGRAM
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(Other) sage: [lucas_number2(n, 2, -3) for n in xrange(0, 26)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 30 2009]
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CROSSREFS
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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
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KEYWORD
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easy,nonn
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AUTHOR
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Graeme McRae (g_m(AT)mcraefamily.com), Feb 16 2005
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