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A065355
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n! - Sum {0<=k< n} k!.
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2
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1, 0, 0, 2, 14, 86, 566, 4166, 34406, 316646, 3219686, 35878886, 435046886, 5704064486, 80428314086, 1213746099686, 19521187251686, 333363035571686, 6024361885107686, 114864714882483686, 2304476522241459686
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| Note that a(n>4) == 6 (mod 10), a(n>9) == 86 (mod 100), a(n>14) == 686 (mod 1000), etc. going to == ...78892005195676406894960947443557663471079579059686; therefore the sequence begins 5, 10, 15, etc. This sequence is in fact A007845: Least positive integer k for which 5^n divides k!. - Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 02 2001
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LINKS
| Harry J. Smith, Table of n, a(n) for n=0,...,100
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MATHEMATICA
| Table[ n! - Sum[k!, {k, 0, n - 1} ], {n, 0, 20} ]
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PROG
| (PARI) { for (n=0, 100, s=sum(k=0, n-1, k!); write("b065355.txt", n, " ", n! - s) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 17 2009]
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CROSSREFS
| Sequence in context: A075140 A037563 A005610 * A162478 A189392 A065892
Adjacent sequences: A065352 A065353 A065354 * A065356 A065357 A065358
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KEYWORD
| easy,nonn
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AUTHOR
| Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 31 2001
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