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Search: id:A086926
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| A086926 |
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Product of Fibonacci and triangular numbers. |
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+0 2
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| 0, 0, 1, 6, 18, 50, 120, 273, 588, 1224, 2475, 4895, 9504, 18174, 34307, 64050, 118440, 217192, 395352, 714951, 1285350, 2298660, 4091241, 7250221, 12797568, 22507500, 39452725, 68942718, 120132558, 208776974, 361937400, 626015085, 1080441264
(list; graph; listen)
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OFFSET
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0,4
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FORMULA
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a(n) = A000045(n)*A000217(n-1) = A000045(n)*n*(n-1)/2. a(n) = n/(n-2)*a(n-1) + n*(n-1))/((n-2)*(n-3))*a(n-2). G.f. x^2*(1+3x+x^3)/(1-x-x^2)^3. - Frank Adams-Watters (FrankTAW(AT)Netscape.net), Feb 03 2006
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PROGRAM
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(Mupad) numlib::fibonacci(n)*binomial(n, 2) $ n = 0..35; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2008
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CROSSREFS
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Cf. A000045, A000217, A045925.
Sequence in context: A003202 A003198 A099857 this_sequence A003290 A075650 A015645
Adjacent sequences: A086923 A086924 A086925 this_sequence A086927 A086928 A086929
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KEYWORD
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nonn
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AUTHOR
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James FitzSimons (cherry(AT)getnet.net), Sep 20 2003
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EXTENSIONS
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Definition and more terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Feb 03 2006
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