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 A105946 C(n+5,n)*C(n+3,3). 1
 1, 24, 210, 1120, 4410, 14112, 38808, 95040, 212355, 440440, 858858, 1589952, 2815540, 4798080, 7907040, 12651264, 19718181, 30020760, 44753170, 65456160, 94093230, 133138720, 185679000, 255528000, 347358375, 466849656, 620854794, 817586560, 1066825320 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1). FORMULA G.f.: -(10*x^3+30*x^2+15*x+1) / (x-1)^9. [Colin Barker, Jan 28 2013] EXAMPLE If n=0 then C(0+5,0)*C(0+3,3)= C(5,0)*C(3,3)=1*1=1 If n=15 then C(15+5,15)*C(15+3,3)= C(20,15)*C(18,3)=15504*816=12651264 MAPLE A105946:=n->binomial(n+5, n)*binomial(n+3, 3); seq(A105946(n), n=0..100); # Wesley Ivan Hurt, Nov 26 2013 MATHEMATICA Table[Binomial[n+5, n]*Binomial[n+3, 3], {n, 0, 100}] (* Wesley Ivan Hurt, Nov 26 2013 *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {1, 24, 210, 1120, 4410, 14112, 38808, 95040, 212355}, 110] (* Harvey P. Dale, Jun 28 2015 *) CROSSREFS Cf. A062196. Sequence in context: A047659 A108671 A097321 * A050222 A169635 A269496 Adjacent sequences:  A105943 A105944 A105945 * A105947 A105948 A105949 KEYWORD easy,nonn AUTHOR Zerinvary Lajos, Apr 27 2005 EXTENSIONS More terms from Colin Barker, Jan 28 2013 STATUS approved

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Last modified May 16 08:07 EDT 2021. Contains 343940 sequences. (Running on oeis4.)