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Search: id:A133367
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| A133367 |
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Trianble T(n,k) read by rows given by [2,1,2,1,2,1,2,1,2,1,2,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . |
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1
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| 1, 2, 1, 6, 5, 1, 22, 23, 8, 1, 90, 107, 49, 11, 1, 394, 509, 276, 84, 14, 1, 1806, 2473, 1505, 556, 128, 17, 1, 8558, 12235, 8100, 3429, 974, 181, 20, 1, 41586, 61463, 43393, 20355, 6713, 1557, 243, 23, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Triangle begins : 1 ; 2, 1 6, 5, 1 ; 22, 23, 8, 1 ; 90, 107, 49, 11, 1 ; 394, 509, 276, 84, 14, 1 ; 1806, 2473, 1505, 556, 128, 17, 1 ; 8558, 12235, 8100, 3429, 974, 181, 20, 1 ; 41586, 61463, 43393, 20355, 6713, 1557, 243, 23, 1 ; ...
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FORMULA
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T(0,0)=1 ; T(n,k)=0 if k<0 or if k>n ; T(n,0) = 2*T(n-1,0)+2*T(n-1,1) ; T(n,k) = T(n-1,k-1)+3*T(n-1,k)+2*T(n-1,k+1) for k>=1 .
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CROSSREFS
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Cf.: A006318, A000012, A016789.
Adjacent sequences: A133364 A133365 A133366 this_sequence A133368 A133369 A133370
Sequence in context: A008970 A055896 A116395 this_sequence A121576 A121575 A049444
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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), Oct 27 2007
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