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Search: id:A084890
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| A084890 |
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Triangular array, read by rows: T(n,k) = arithmetic derivative of n*k, 1<=k<=n. |
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+0
3
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| 0, 1, 4, 1, 5, 6, 4, 12, 16, 32, 1, 7, 8, 24, 10, 5, 16, 21, 44, 31, 60, 1, 9, 10, 32, 12, 41, 14, 12, 32, 44, 80, 68, 112, 92, 192, 6, 21, 27, 60, 39, 81, 51, 156, 108, 7, 24, 31, 68, 45, 92, 59, 176, 123, 140, 1, 13, 14, 48, 16, 61, 18, 140, 75, 87, 22, 16, 44, 60, 112
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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1<=k<=n: T(n,k)= A003415(n*k)=n*A003415(k)+k*A003415(n);
T(n,1)=A003415(n); n>1: T(n,2)=A068719(n); T(n,n)=A068720(n).
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LINKS
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Eric Weisstein's World of Mathematics, Product Rule.
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EXAMPLE
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................. 0
.............. 1 ... 4
........... 1 ... 5 ... 6
........ 4 .. 12 .. 16 .. 32
..... 1 ... 7 ... 8 .. 24 .. 10
.. 5 .. 16 .. 21 .. 44 .. 31 .. 60
1 ... 9 .. 10 .. 32 .. 12 .. 41 .. 14.
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CROSSREFS
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Cf. A084884, A084885, A084886, A084887.
Sequence in context: A075013 A117379 A007309 this_sequence A058662 A133866 A011443
Adjacent sequences: A084887 A084888 A084889 this_sequence A084891 A084892 A084893
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2003
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