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Search: id:A133366
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| A133366 |
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Triangle T(n,k)read by rows given by [3,1,3,1,3,1,3,1,3,1,3,1,...] DELTA [1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . |
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+0
1
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| 1, 3, 1, 12, 7, 1, 57, 43, 11, 1, 300, 262, 90, 15, 1, 1686, 1618, 667, 153, 19, 1, 9912, 10159, 4745, 1336, 232, 23, 1, 60213, 64783, 33147, 10785, 2333, 327, 27, 1, 374988, 418786, 229726, 83286, 21098, 3722, 438, 31, 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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A121576*A007318 as infinite lower triangular matrices .
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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) = 3*T(n-1,0)+3*T(n-1,1) ; T(n,k)=T(n-1,k-1)+4*T(n-1,k)+3*T(n-1,k+1) for k>=1 .
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EXAMPLE
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Triangle begins:
1;
3, 1;
12, 7, 1;
57, 43, 11, 1;
300, 262, 90, 15, 1;
1686, 1618, 667, 153, 19, 1;
9912, 10159, 4745, 1336, 232, 23, 1;
60213, 64783, 33147, 10785, 2333, 327, 27, 1;
374988, 418786, 229786, 83286, 21098, 3722, 438, 31, 1 ;...
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CROSSREFS
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Cf.: A047891, A000012, A004767.
Adjacent sequences: A133363 A133364 A133365 this_sequence A133367 A133368 A133369
Sequence in context: A127898 A078938 A135888 this_sequence A049458 A143492 A062139
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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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