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Search: id:A125092
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| A125092 |
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Triangle read by rows: T(n,k)=(k+1)^2*binom(n,k) (0<=k<=n). |
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+0
2
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| 1, 1, 4, 1, 8, 9, 1, 12, 27, 16, 1, 16, 54, 64, 25, 1, 20, 90, 160, 125, 36, 1, 24, 135, 320, 375, 216, 49, 1, 28, 189, 560, 875, 756, 343, 64, 1, 32, 252, 896, 1750, 2016, 1372, 512, 81, 1, 36, 324, 1344, 3150, 4536, 4116, 2304, 729, 100, 1, 40, 405, 1920, 5250, 9072
(list; table; graph; listen)
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OFFSET
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0,3
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COMMENT
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Binomial transform of the infinite diagonal matrix (1,4,9,16,...). Sum of entries in row n = (n+1)(n+4)*2^(n-2)=A001793(n+1).
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EXAMPLE
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First few rows of the triangle are:
1;
1, 4;
1, 8, 9;
1, 12, 27, 16;
1, 16, 54, 64, 25;
1, 20, 90, 160, 125, 36;
...
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MAPLE
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T:=(n, k)->(k+1)^2*binomial(n, k): for n from 0 to 11 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
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CROSSREFS
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Cf. A001793.
Sequence in context: A116924 A128414 A019699 this_sequence A122914 A016689 A105533
Adjacent sequences: A125089 A125090 A125091 this_sequence A125093 A125094 A125095
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 19 2006
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com), Nov 29 2006
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