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Search: id:A145324
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| A145324 |
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Triangle read by rows: coefficients of 1; 1(X+2); 1(X+2)(X+3); 1(X+2)(X+3)(X+4); .... |
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+0
2
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| 1, 1, 2, 1, 5, 6, 1, 9, 26, 24, 1, 14, 71, 154, 120, 1, 20, 155, 580, 1044, 720, 1, 27, 295, 1665, 5104, 8028, 5040, 1, 35, 511, 4025, 18424, 48860, 69264, 40320, 1, 44, 826, 8624, 54649, 214676, 509004, 663696, 362880, 1, 54, 1266, 16884, 140889, 761166
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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The last number of row n is n!
Essentially the triangle given by [1, 0, 1, 0, 1, 0, 1, 0, 1, ...] DELTA [2, 1, 3, 2, 4, 3, 5, 4, 6, 5, ...] where DELTA is the operator defined in A084938. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 09 2008]
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FORMULA
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T(n,k) = A143491(n+1,n+2-k). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 10 2008]
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MAPLE
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A145324 := proc(n, k) coeftayl( 1*mul(x+i, i=2..n), x=0, n-k) ; end: for n from 1 to 11 do for k from 1 to n do printf("%d, ", A145324(n, k)) ; od: od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 10 2008]
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CROSSREFS
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Sequence in context: A086905 A167638 A054651 this_sequence A107783 A047887 A120986
Adjacent sequences: A145321 A145322 A145323 this_sequence A145325 A145326 A145327
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KEYWORD
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nonn,tabl
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AUTHOR
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Jose Ramon Real (joseramonreal(AT)yahoo.es), Oct 07 2008
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 10 2008
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