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 A284207 Eleventh column of Euler's difference table in A068106. 0
 0, 0, 0, 0, 0, 0, 0, 0, 0, 3628800, 36288000, 402796800, 4906137600, 64988179200, 929459059200, 14266826784000, 233845982899200, 4075249496774400, 75225258805132800, 1465957162768492800, 30071395843421184000, 647624841502298284800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,10 COMMENTS For n >= 11, this is the number of permutations of [n] that avoid substrings j(j+10), 1 <= j <= n-10. LINKS Enrique Navarrete, Generalized K-Shift Forbidden Substrings in Permutations, arXiv:1610.06217 [math.CO], 2016. FORMULA For n>=11: a(n) = Sum_{j=0..n-10} (-1)^j*binomial(n-10,j)*(n-j)!. Note a(n)/n! ~ 1/e. EXAMPLE a(14)=64988179200 since this is the number of permutations in S14 that avoid substrings {1(11),2(12),3(13),4(14)}. MATHEMATICA Table[Sum[(-1)^j*Binomial[n - 10, j]*(n - j)!, {j, 0, n - 10}], {n, 22}] (* Michael De Vlieger, Apr 03 2017 *) CROSSREFS Also 3628800 times A176736. Cf. A068106. Sequence in context: A011521 A321846 A226889 * A061603 A153761 A133132 Adjacent sequences:  A284204 A284205 A284206 * A284208 A284209 A284210 KEYWORD nonn AUTHOR Enrique Navarrete, Mar 22 2017 STATUS approved

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Last modified October 15 13:06 EDT 2019. Contains 328030 sequences. (Running on oeis4.)