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Search: id:A004248
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| A004248 |
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Table of x^y, where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),... |
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+0
10
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| 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 4, 3, 1, 0, 1, 8, 9, 4, 1, 0, 1, 16, 27, 16, 5, 1, 0, 1, 32, 81, 64, 25, 6, 1, 0, 1, 64, 243, 256, 125, 36, 7, 1, 0, 1, 128, 729, 1024, 625, 216, 49, 8, 1, 0, 1, 256, 2187, 4096, 3125, 1296, 343, 64, 9, 1, 0, 1, 512, 6561, 16384, 15625, 7776, 2401, 512, 81, 10, 1
(list; table; graph; listen)
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OFFSET
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0,9
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COMMENT
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As a number triangle, columns have g.f. x^k/(1-kx). Row sums are A026898, diagonal sums are A104872. - Paul Barry (pbarry(AT)wit.ie), Mar 28 2005
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LINKS
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T. D. Noe, Rows n=0..50 of triangle, flattened
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FORMULA
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Number triangle T(n, k)=if(k<=n, k^(n-k), 0); T(n, k)=sum{j=0..floor((n-k)/2), (-1)^j*C(n-k, j)C(n-k-j, n-k)k^(n-k-2j)}; - Paul Barry (pbarry(AT)wit.ie), Jul 13 2005
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EXAMPLE
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1; 0,1; 0,1,1; 0,1,2,1; 0,1,4,3,1; ...
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CROSSREFS
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Cf. A003992, A048723.
For other versions see A051129 and A009998.
Sequence in context: A058716 A048723 A088455 this_sequence A034373 A102728 A075374
Adjacent sequences: A004245 A004246 A004247 this_sequence A004249 A004250 A004251
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KEYWORD
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tabl,nonn,easy,nice
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AUTHOR
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David W. Wilson (davidwwilson(AT)comcast.net)
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