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Search: id:A064320
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| A064320 |
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Product{j=1,2,...,n} [j^C(n-1,j-1)]. |
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+0
4
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| 1, 2, 12, 864, 14929920, 37150418534400000, 10063619980174622195712000000000000000, 664903611914043473202543232567979684173499596800000000000000000000000000000000000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Product variant of binomial transform of natural numbers.
From Benoit Cloitre, Jan 29 2002: array interpretation (first row and column are the natural numbers):
1 2 3 4 .....
2 2 6 12 ....
3 4 12 72 ...
.......864...
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FORMULA
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Main diagonal of array T(i, 1)=i, T(1, j)=j and T(i, j)=T(i-1, j)*T(i, j-1). - Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 16 2003
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EXAMPLE
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a(5) =(1^1)*(2^4)*(3^6)*(4^4)*(5^1) =1*16*729*256*5 =14929920
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CROSSREFS
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Cf. A001792. Equals A064319(n, n).
Sequence in context: A060055 A061149 A129933 this_sequence A112373 A058975 A057120
Adjacent sequences: A064317 A064318 A064319 this_sequence A064321 A064322 A064323
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Sep 10 2001
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