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 A027803 a(n) = 35*(n+1)*binomial(n+4, 7)/4. 1
 35, 350, 1890, 7350, 23100, 62370, 150150, 330330, 675675, 1301300, 2382380, 4176900, 7054320, 11531100, 18314100, 28352940, 42902475, 63596610, 92534750, 132382250, 186486300, 259008750, 355077450, 480957750, 644245875 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Number of 12-subsequences of [ 1, n ] with just 4 contiguous pairs. LINKS Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1). FORMULA G.f.: 35*(1+x)*x^3/(1-x)^9. a(n) = C(n+1, 4)*C(n+4, 4). - Zerinvary Lajos, May 10 2005, corrected by R. J. Mathar, Mar 16 2016 MATHEMATICA Table[35 (n + 1) Binomial[n + 4, 7]/4, {n, 3, 30}] (* or *) Table[Binomial[n + 1, 4] Binomial[n + 4, 4], {n, 3, 30}] (* Michael De Vlieger, Mar 16 2016 *) CROSSREFS Equals 35*A053347(n-3). Cf. A062145. Sequence in context: A027792 A163935 A101099 * A267749 A073567 A225697 Adjacent sequences:  A027800 A027801 A027802 * A027804 A027805 A027806 KEYWORD nonn,easy AUTHOR thi ngoc dinh (via R. K. Guy) STATUS approved

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Last modified October 19 15:50 EDT 2019. Contains 328223 sequences. (Running on oeis4.)