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 A105947 C(n+6,n)*C(n+4,4) 0
 1, 35, 420, 2940, 14700, 58212, 194040, 566280, 1486485, 3578575, 8016008, 16893240, 33786480, 64574160, 118605600, 210327264, 361499985, 604167795, 984569740, 1568220500, 2446423980, 3744526500, 5632263000, 8336601000, 12157543125, 17487410031, 24834191760 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1). FORMULA G.f.: -(15*x^4+80*x^3+90*x^2+24*x+1) / (x-1)^11. [Colin Barker, Jan 28 2013] EXAMPLE If n=0 then C(0+6,0)*C(0+4,4)= C(6,0)*C(4,4)=1*1=1 If n=10 then C(10+6,10)*C(10+4,4)= C(16,10)*C(14,4)=8008*1001=8016008 MATHEMATICA Table[Binomial[n+6, n]Binomial[n+4, 4], {n, 0, 30}] (* or *) LinearRecurrence[ {11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {1, 35, 420, 2940, 14700, 58212, 194040, 566280, 1486485, 3578575, 8016008}, 30] (* Harvey P. Dale, May 21 2014 *) CROSSREFS Cf. A062196. Sequence in context: A075664 A133317 A322879 * A183846 A219936 A298946 Adjacent sequences:  A105944 A105945 A105946 * A105948 A105949 A105950 KEYWORD easy,nonn AUTHOR Zerinvary Lajos, Apr 27 2005 EXTENSIONS Terms from a(8) onwards corrected by Colin Barker, Jan 28 2013 Second example corrected by Colin Barker, Jan 28 2013 STATUS approved

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Last modified August 11 03:22 EDT 2020. Contains 336421 sequences. (Running on oeis4.)