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A282466 a(n) = n*a(n-1) + n!, with n>0, a(0)=5. 9
5, 6, 14, 48, 216, 1200, 7920, 60480, 524160, 5080320, 54432000, 638668800, 8143027200, 112086374400, 1656387532800, 26153487360000, 439378587648000, 7825123418112000, 147254595231744000, 2919482409811968000, 60822550204416000000, 1328364496464445440000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

REFERENCES

C. Mariconda and A. Tonolo, Calcolo discreto, Apogeo (2012), page 240 (Example 9.57 gives the recurrence).

LINKS

Table of n, a(n) for n=0..21.

FORMULA

E.g.f.: (5 - 4*x)/(1 - x)^2.

a(n) = (n + 5)*n!.

a(n) = 2*A229039(n) for n>0.

MATHEMATICA

RecurrenceTable[{a[0] == 5, a[n] == n a[n - 1] + n!}, a, {n, 0, 30}] (* or *)

Table[(n + 5) n!, {n, 0, 30}]

CROSSREFS

Cf. A229039.

Cf. sequences with formula (n + k)*n!: A052521 (k=-5), A282822 (k=-4), A052520 (k=-3), A052571 (k=-2), A062119 (k=-1), A001563 (k=0), A000142 (k=1), A001048 (k=2), A052572 (k=3), A052644 (k=4), this sequence (k=5).

Sequence in context: A308822 A289190 A145491 * A060724 A064949 A160109

Adjacent sequences:  A282463 A282464 A282465 * A282467 A282468 A282469

KEYWORD

nonn,easy

AUTHOR

Bruno Berselli, Feb 22 2017

STATUS

approved

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Last modified June 5 18:48 EDT 2020. Contains 334854 sequences. (Running on oeis4.)