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Search: id:A162956
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| A162956 |
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2^n term triangle by rows, analogous to A160552 but multiplier is "3" instead of "2" |
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+0
5
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| 1, 1, 4, 1, 4, 7, 13, 1, 4, 7, 13, 7, 19, 34, 40, 1, 4, 7, 13, 7, 19, 34, 40, 7, 19, 34, 46, 40, 91, 142, 121
(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 = power of 5: (1, 5, 25, 125, 625,...).
Rows tend to A162957, obtained by taking (1, 3, 0, 0, 0,...) * A162956.
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FORMULA
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Follows the same analogous procedure as A160552 but multiplier is 3 instead of 2. (n+1)-th row brings down n-th row and appends to the right and equal number of terms following the rules: from left to right,let a = last term, b = current term, c = next term. Then c = 3*a + b except for the rightmost term = 3*a + 1.
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EXAMPLE
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The triangle begins:
1;
1, 4;
1, 4, 7, 13;
1, 4, 7, 13, 7, 19, 34, 40;
1, 4, 7, 13, 7, 19, 34, 40, 7, 19, 34, 46, 40, 91, 142, 121;
...
Row 4 = (1, 4, 7, 13, 7, 19, 34, 40): brings down (1, 4, 7, 13) then 7 = 3*1 + 4, 19 = 3*4 + 7, 34 = 3*7 + 13, 40 = 3*13 + 1.
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CROSSREFS
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A162957, A162958, A160552
Sequence in context: A092856 A051006 A072812 this_sequence A131112 A141225 A079185
Adjacent sequences: A162953 A162954 A162955 this_sequence A162957 A162958 A162959
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 18 2009
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