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 A282822 a(n) = (n - 4)*n! for n>=0. 2
 -4, -3, -4, -6, 0, 120, 1440, 15120, 161280, 1814400, 21772800, 279417600, 3832012800, 56043187200, 871782912000, 14384418048000, 251073478656000, 4623936565248000, 89633231880192000, 1824676506132480000, 38926432130826240000, 868546016919060480000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Table of n, a(n) for n=0..21. FORMULA E.g.f.: -(4 - 5*x)/(1 - x)^2. a(n) = n*a(n-1) + n!, with n>0, a(0)=-4. a(n) = 2*A034865(n) for n>3. From Amiram Eldar, Jan 14 2021: (Start) Sum_{n>=5} 1/a(n) = 313/288 - 5*e/12 - gamma/24 + Ei(1)/24 = 313/288 - (5/12)*A001113 - (1/24)*A001620 + A091725/24. Sum_{n>=5} (-1)^(n+1)/a(n) = -25/288 + 1/(6*e) + gamma/24 - Ei(-1)/24 = -25/288 - (1/6)*A068985 + (1/24)*A001620 + (1/24)*A099285. (End) MATHEMATICA Table[(n - 4) n!, {n, 0, 30}] (* or *) RecurrenceTable[{a[0] == -4, a[n] == n a[n - 1] + n!}, a, {n, 0, 30}] CROSSREFS Cf. A034865. Cf. sequences with formula (n + k)*n! listed in A282466. Cf. A001113, A001620, A068985, A091725, A099285. Sequence in context: A205398 A135103 A369052 * A193694 A354471 A117893 Adjacent sequences: A282819 A282820 A282821 * A282823 A282824 A282825 KEYWORD sign,easy AUTHOR Bruno Berselli, Feb 22 2017 STATUS approved

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Last modified July 25 04:49 EDT 2024. Contains 374586 sequences. (Running on oeis4.)