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A125662
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A convolution triangle of numbers based on A001906 (even indexed Fibonacci numbers).
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1
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1, 3, 1, 8, 6, 1, 21, 25, 9, 1, 55, 90, 51, 12, 1, 144, 300, 234, 86, 15, 1, 377, 954, 951, 480, 130, 18, 1, 987, 2939, 3573, 2305, 855, 183, 21, 1, 2584, 8850, 12707, 10008, 4740, 1386, 245, 24, 1, 6785, 26195, 43398, 40426, 23373, 8715, 316, 27, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Subtriangle of the triangle given by [0,3,-1/3,1/3,0,0,0,0,0,...] DELTA [1,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . Unsigned version of A123965 and A124025.
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FORMULA
| T(n,k)=T(n-1,k-1)+3*T(n-1,k)-T(n-2,k) ; T(0,0)=1 ; T(n,k)=0 if k<0 or if k>n.
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EXAMPLE
| Triangle begins:
1;
3, 1;
8, 6, 1;
21, 25, 9, 1;
55, 90, 51, 12, 1;
Triangle [0,3,-1/3,1/3,0,0,0,...] DELTA [1,0,0,0,0,0,...]begins:
1;
0, 1;
0, 3, 1;
0, 8, 6, 1;
0, 21, 25, 9, 1;
0, 55, 90, 51, 12, 1;
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CROSSREFS
| Cf. Diagonal sums : A000244(powers of 3); Row sums : A001353 (n+1) ; Diagonals : A001906(n+1), A001871 ; A000012, A008585, A062728.
Sequence in context: A030523 A123965 A124025 * A005295 A077897 A007023
Adjacent sequences: A125659 A125660 A125661 * A125663 A125664 A125665
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 28 2007
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