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Search: id:A110396
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| A110396 |
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10's complement factorial of n: define f(n) = (10's complement of n)(10's complement of n-1)...(10's complement of 2)(10's complement of 1). |
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+0
8
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| 9, 72, 504, 3024, 15120, 60480, 181440, 362880, 362880, 32659200, 2906668800, 255786854400, 22253456332800, 1913797244620800, 162672765792768000, 13664512326592512000, 1134154523107178496000, 93000670894788636672000
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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a(n)=product(c(i),i=1..n), where c(i) is the difference between i and the next power of 10 (for example, c(13)=100-13=87; c(100)=1000-100=900). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 31 2005
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EXAMPLE
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a(3) = (10-3)(10-2)(10-1)= 7*8*9 = 504.
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MAPLE
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s:=proc(m) nops(convert(m, base, 10)) end: for q from 1 to 120 do c[q]:=10^s(q)-q od: a:=n->product(c[i], i=1..n): seq(a(n), n=1..20); (Deutsch)
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CROSSREFS
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Cf. A110394, A110395.
Adjacent sequences: A110393 A110394 A110395 this_sequence A110397 A110398 A110399
Sequence in context: A070823 A073988 A005778 this_sequence A045993 A084327 A057085
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 29 2005
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 31 2005
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