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Search: id:A133415
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| A133415 |
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(1/10)*(2^(4*n-1)-5^n*L(2*n)+L(4*n)), where L() = Lucas numbers A000032. |
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+0
1
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| 0, 0, 12, 560, 15504, 346104, 6906900, 129024512, 2310796740, 40226003064, 686392118544, 11543525003120, 192052217662812, 3169185696976320, 51968632068982524, 848016349271816384, 13784507849163060240, 223382961205435729512, 3611184426083530971300, 58264040214444951056384
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OFFSET
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1,3
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REFERENCES
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P. S. Bruckman, Problem H-650, Fib. Quart., 45 (2007), 91.
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FORMULA
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Equals Sum_{k = 0..floor((n-3)/5)} binomial(4n, 2n-10k-5).
O.g.f.: -4*x^3*(3+26*x+5*x^2)/((-1+16*x)*(1-15*x+25*x^2)*(1-7*x+x^2)) = -(1/20)+(1/10)*(-2+15*x)/(1-15*x+25*x^2)-(1/20)/(-1+16*x)+(1/10)*(2-7*x)/(1-7*x+x^2) . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 28 2007
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CROSSREFS
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Sequence in context: A004801 A067733 A064344 this_sequence A042111 A013587 A126159
Adjacent sequences: A133412 A133413 A133414 this_sequence A133416 A133417 A133418
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KEYWORD
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nonn
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AUTHOR
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njas, Nov 27 2007
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