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1, 3, -1, 9, -6, 1, 27, -27, 9, -1, 81, -108, 54, -12, 1, 243, -405, 270, -90, 15, -1, 729, -1458, 1215, -540, 135, -18, 1, 2187, -5103, 5103, -2835, 945, -189, 21, -1, 6561, -17496, 20412, -13608, 5670, -1512, 252, -24, 1, 19683, -54049, 78732, -61236
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Rows sum up to A000079, anti-diagonals sum up to A001906
Triangle, read by rows, given by [3,0,0,0,0,0,0,0,...] DELTA [ -1,0,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 02 2009]
Row n : expansion of (3-x)^n. - From DELEHAM Philippe, Oct 09 2011.
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FORMULA
| T(n,k)=3*T(n-1,k)-T(n-1,k-1) - From DELEHAM Philippe, Oct 09 2011.
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EXAMPLE
| Begins as triangle:
1
3,-1
9,-6,1
27,-27,9,-1
81,-108,54,-12,1
243,-405,270,-90,15,-1
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CROSSREFS
| Cf. A027465, A000079, A001906.
Sequence in context: A132819 A105545 A178831 * A027465 A187537 A157393
Adjacent sequences: A164939 A164940 A164941 * A164943 A164944 A164945
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KEYWORD
| sign
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AUTHOR
| Mark Dols (markdols99(AT)yahoo.com), Sep 01 2009
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EXTENSIONS
| More terms from DELEHAM Philippe, Oct 09 2011.
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