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Search: id:A087736
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| A087736 |
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Triangle T(n,k) read by rows given by [O, 1, 3, 6, 10, 15, 21, ...] DELTA [1, 3, 6, 10, 15, 21, 28,...] where DELTA is the operator defined in A084938. |
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+0
3
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| 1, 0, 1, 0, 1, 4, 0, 4, 23, 34, 0, 34, 249, 606, 496, 0, 496, 4354, 14181, 20434, 11056, 0, 11056, 112238, 450097, 894838, 885032, 349504, 0, 349504, 4008024, 18911670, 47136095, 65613780, 48468804, 14873104
(list; table; graph; listen)
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OFFSET
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0,6
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FORMULA
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Sum_{k, 0<=k<=n}T(n,k)*x^(n-k)=A000012(n), A011782(n), A001147(n), A002105(n+1), A000364(n), A126151(n), A126156(n) for n = -3,-2,-1,0,1,2,3 respectively .
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EXAMPLE
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Triangle begins:
1;
0, 1;
0, 1, 4;
0, 4, 23, 34;
0, 34, 249, 606, 496;
0, 496, 4354, 14181, 20434, 11056;
0, 11056, 112238, 450097, 894838, 885032, 349504;
0, 349504, 4008024, 18911670, 47136095, 65613780, 48468804, 14873104 ;...
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CROSSREFS
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Diagonals give A002105: [1, 1, 4, 34, 496, ...] Row sums give A000384 : [1, 1, 5, 61, 1385,...] Euler numbers.
Cf. A000217 A000384 A002105 A084938.
Sequence in context: A058536 A058493 A112149 this_sequence A005075 A103638 A129821
Adjacent sequences: A087733 A087734 A087735 this_sequence A087737 A087738 A087739
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Sep 30 2003, Jul 17 2007
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