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Search: id:A097163
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| A097163 |
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Expansion of (1+x-x^2)/((1-x)(1-4x^2)). |
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+0
4
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| 1, 2, 5, 9, 21, 37, 85, 149, 341, 597, 1365, 2389, 5461, 9557, 21845, 38229, 87381, 152917, 349525, 611669, 1398101, 2446677, 5592405, 9786709, 22369621, 39146837, 89478485, 156587349, 357913941, 626349397, 1431655765, 2505397589
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OFFSET
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0,2
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COMMENT
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a(2n)=A002450(n+1) Interleave (4*4^n-1)/2 and (7*4^n-1)/3 4*a(n)=A097164(n+1).
a(n)= A097164(n+1)/4 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 17 2008
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FORMULA
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a(n)=5*2^n/4+(-2)^n/12-1/3; a(n)=a(n-1)+4a(n-2)-4a(n-3).
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 100 do a[n]:=4*a[n-2]+4 od: seq(a[n]/4, n=2..33); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 17 2008
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CROSSREFS
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Sequence in context: A079117 A030137 A105309 this_sequence A117186 A155042 A001851
Adjacent sequences: A097160 A097161 A097162 this_sequence A097164 A097165 A097166
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Jul 30 2004
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