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Search: id:A086926
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A086926 Product of Fibonacci and triangular numbers. +0
2
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)
OFFSET

0,4

FORMULA

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

PROGRAM

(Mupad) numlib::fibonacci(n)*binomial(n, 2) $ n = 0..35; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 09 2008

CROSSREFS

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

KEYWORD

nonn

AUTHOR

James FitzSimons (cherry(AT)getnet.net), Sep 20 2003

EXTENSIONS

Definition and more terms from Frank Adams-Watters (FrankTAW(AT)Netscape.net), Feb 03 2006

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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