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Search: id:A127501
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| A127501 |
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Triangle read by rows :T(n,k)=Sum_{j, j>=0}A089942(n,j)*binomial(j,k). |
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1
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| 1, 1, 1, 3, 3, 1, 7, 10, 5, 1, 19, 31, 21, 7, 1, 51, 96, 79, 36, 9, 1, 141, 294, 282, 159, 55, 11, 1, 393, 897, 972, 645, 279, 78, 13, 1, 1107, 2727, 3273, 2475, 1269, 447, 105, 15, 1, 3139, 8272, 10835, 9136, 5369, 2254, 671, 136, 17, 1
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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A Riordan array.
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FORMULA
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T(n+1,1)=A055217(n) . Sum_{k, 0<=k<=n}T(n,k)*x^k = A033999(n), A005043(n), A002426(n), A112657(n) for x = -2, -1, 0, 1 respectively.
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EXAMPLE
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Triangle begins:
1;
1, 1;
3, 3, 1;
7, 10, 5, 1;
19, 31, 21, 7, 1;
51, 96, 79, 36, 9, 1;
141, 294, 282, 159, 55, 11, 1;
393, 897, 972, 645, 279, 78, 13, 1;
1107, 2727, 3273, 2475, 1269, 447, 105, 15, 1;
3139, 8272, 10835, 9136, 5369, 2254, 671, 136, 17, 1; ...
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CROSSREFS
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Sequence in context: A116401 A106479 A114422 this_sequence A118408 A079268 A102316
Adjacent sequences: A127498 A127499 A127500 this_sequence A127502 A127503 A127504
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KEYWORD
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nonn,tabl
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 01 2007
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