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 A245414 Number of endofunctions on [n] such that no element has a preimage of cardinality ten. 2
 1, 1, 4, 27, 256, 3125, 46656, 823543, 16777216, 387420489, 9999999990, 285311669401, 8916100352424, 302875100167549, 11112006425304162, 437893866154577295, 18446742614251551616, 827240173137280043281, 39346402580883043716420, 1978419307503657602437003 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..200 FORMULA a(n) = n! * [x^n] (exp(x)-x^10/10!)^n. MAPLE b:= proc(n, i) option remember; `if`(n=0 and i=0, 1,       `if`(i<1, 0, add(`if`(j=10, 0, b(n-j, i-1)*        binomial(n, j)), j=0..n)))     end: a:= n-> b(n\$2): seq(a(n), n=0..25); MATHEMATICA Table[n!*SeriesCoefficient[(E^x-x^10/10!)^n, {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Jul 23 2014 *) CROSSREFS Column k=10 of A245405. Sequence in context: A117280 A067040 A070271 * A000312 A177885 A086783 Adjacent sequences:  A245411 A245412 A245413 * A245415 A245416 A245417 KEYWORD nonn AUTHOR Alois P. Heinz, Jul 21 2014 STATUS approved

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Last modified January 17 18:27 EST 2019. Contains 319250 sequences. (Running on oeis4.)