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Search: id:A103462
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| A103462 |
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A triangle with palindromic cubes, read by rows. |
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+0
3
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| 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 5, 4, 1, 1, 2, 9, 10, 5, 1, 1, 2, 17, 28, 17, 6, 1, 1, 2, 33, 82, 65, 26, 7, 1, 1, 2, 65, 244, 257, 126, 37, 8, 1, 1, 2, 129, 730, 1025, 626, 217, 50, 9, 1, 1, 2, 257, 2188, 4097, 3126, 1297, 344, 65, 10, 1, 1, 2, 513, 6562, 16385, 15626, 7777
(list; table; graph; listen)
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OFFSET
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0,5
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LINKS
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P. De Geest, World!Of Numbers
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FORMULA
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Number triangle T(n, k)=if(k<=n, k^(n-k)+1-0^(n-k), 0); Column k has g.f. x^k(1-kx^2)/((1-x)(1-kx)).
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EXAMPLE
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Rows start {1}, {1,1}, {1,2,1}, {1,2,3,1}, {1,2,5,4,1},..
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CROSSREFS
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Columns include A040000, A083318, A103457, A046231, A046233, A103458, A103459, A000533. Cubes of column k are palindromic to base k, k>3 (start with column 0). Row sums are A103480. Diagonal sums are A103481.
Sequence in context: A048887 A047913 A117935 this_sequence A116855 A157744 A030111
Adjacent sequences: A103459 A103460 A103461 this_sequence A103463 A103464 A103465
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 07 2005
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