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A135871
Triangle by columns: A013610 signed and interleaved with zeros.
1
1, 0, 3, -1, 0, 9, 0, -6, 0, 27, 1, 0, -27, 0, 81, 0, 9, 0, -108, 0, 243, -1, 0, 54, 0, -405, 0, 729, 0, -12, 0, 270, 0, -1458, 0, 2187
OFFSET
1,3
COMMENTS
Row sums = even-indexed Fibonacci numbers, A001906: (1, 3, 8, 21, 55, ...) such that the sum of n-th row terms = F(2n). Example: sum of nonzero terms of row 4 = (-6 + 27) = 21 = F(8).
FORMULA
The triangle starts with A013610, then by columns sign (+, -, +, ...) and interleave with zeros.
EXAMPLE
First few rows of the triangle:
1;
0, 3;
-1, 0, 9;
0, -6, 0, 27;
1, 0, -27, 0, 81;
0, 9, 0, -108, 0, 243;
-1, 0, 54, 0, -405, 0, 729;
...
CROSSREFS
Sequence in context: A078521 A194938 A299614 * A126178 A094753 A355350
KEYWORD
tabl,sign
AUTHOR
Gary W. Adamson, Dec 02 2007
STATUS
approved