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Search: id:A078467
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| A078467 |
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a(n) = a(n-1) + a(n-4); first four terms are 0,1,2,3. |
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+0
2
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| 0, 1, 2, 3, 3, 4, 6, 9, 12, 16, 22, 31, 43, 59, 81, 112, 155, 214, 295, 407, 562, 776, 1071, 1478, 2040, 2816, 3887, 5365, 7405, 10221, 14108, 19473, 26878, 37099, 51207, 70680, 97558, 134657, 185864, 256544, 354102, 488759, 674623, 931167, 1285269
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = a(n-1) + a(n-4); a(0)=0, a(1)=1, a(2)=2, a(3)=3
a(n+1)=sum{k=0..n, binomial(n-k, floor(k/3))} - Paul Barry (pbarry(AT)wit.ie), Jul 06 2004
G.f.: x(1+x+x^2)/(1-x-x^4). a(n)=A003269(n)+A003269(n-1)+A003269(n-2). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 25 2008]
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EXAMPLE
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The sequence begins 0,1,2,3. a(5) = a(5-1) + a(5-4) = a(4)+a(1)= 3+0 =3. a(6) = a(6-1) + a(6-4) = a(5) + a(2) = 3+1 = 4.
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CROSSREFS
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Cf. A000045, A003269, A058278.
Sequence in context: A046936 A017831 A132289 this_sequence A049790 A119795 A119614
Adjacent sequences: A078464 A078465 A078466 this_sequence A078468 A078469 A078470
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KEYWORD
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nonn,new
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AUTHOR
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Arran Fernandez (arran(AT)borve.org), Jan 02 2003
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