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Search: id:A053298
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| 1, 8, 34, 107, 281, 654, 1397, 2801, 5353, 9859, 17643, 30869, 53062, 89951, 150833, 250780, 414210, 680665, 1114160, 1818310, 2960806, 4813018, 7814074, 12674542, 20544191, 33283434, 53902532, 87272241, 141273663, 228658744
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.
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FORMULA
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a(n)=a(n-1)+a(n-2)+(3n+4)*C(n+3, 3)/4.
G.f.: (1+2x)/((1-x-x^2)(1-x)^5). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 28 2008]
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EXAMPLE
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a(n)=3F(n+9)+F(n+8)-(3n^4+58n^3+489n^2+2234n+4752)/24; where F(x) is the (x+1)st Fibonacci number(A000045).
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CROSSREFS
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Cf. A027964 and A000204.
A column in triangular array A027960.
Cf. A137176. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 28 2008]
Sequence in context: A154516 A066804 A033455 this_sequence A124843 A082840 A101644
Adjacent sequences: A053295 A053296 A053297 this_sequence A053299 A053300 A053301
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KEYWORD
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easy,nonn
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AUTHOR
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Barry E. Williams, Mar 04 2000
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