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Search: id:A135871
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| A135871 |
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Triangle by columns: A013610 signed and interleaved with zeros. |
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+0
2
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| 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
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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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).
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FORMULA
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The triangle starts with A013610, then by columns sign (+, -, +,...) and interleave with zeros.
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EXAMPLE
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First few rows of the triangle are:
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;
...
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CROSSREFS
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Cf. A013610, A001906.
Sequence in context: A162971 A078521 A137432 this_sequence A126178 A094753 A143398
Adjacent sequences: A135868 A135869 A135870 this_sequence A135872 A135873 A135874
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 02 2007
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