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 A114253 a(n) = C(5+2*n,5+n)*C(10+2*n,0+n). 1
 1, 84, 3276, 92400, 2187900, 46558512, 923410488, 17439488352, 317907339750, 5644249611000, 98209943231400, 1682207622669600, 28457345616827400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Robert Israel, Table of n, a(n) for n = 0..828 FORMULA From Robert Israel, Jan 11 2019: (Start) (n+1)^2*(11+n)*a(n+1)=4*(7+2*n)*(3+n)*(11+2*n)*a(n). a(n) ~ 32768*16^n/(Pi*n). (End) EXAMPLE If n=1 then C(5+2*1,5+1)*C(10+2*1,0+1) = C7,6)*C(12,1) = 7*12 = 84. If n=11 then C(5+2*n,5+n)*C(10+2*n,0+n) = C(27,16)*C(32,11) = 13037895*129024480 = 1682207622669600. MAPLE seq(binomial(5+2*n, 5+n)*binomial(10+2*n, n), n=0..30); # Robert Israel, Jan 11 2019 CROSSREFS Cf. A062190. Sequence in context: A219470 A219372 A026809 * A017800 A035737 A035806 Adjacent sequences: A114250 A114251 A114252 * A114254 A114255 A114256 KEYWORD easy,nonn AUTHOR Zerinvary Lajos, Feb 04 2006 STATUS approved

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Last modified May 18 15:59 EDT 2024. Contains 372664 sequences. (Running on oeis4.)