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Search: id:A152252
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| A152252 |
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Triangle read by rows, M*Q, where M = an infinite lower triangular matrix with powers of 3 prefaced by a 1 in every row: (1, 1, 3, 9, 27,...) and Q = a matrix with A006012 prefaced by a 1 as the main diagonal and the rest zeros. |
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| 1, 1, 1, 3, 1, 2, 9, 3, 2, 6, 27, 9, 6, 6, 20, 81, 27, 18, 18, 20, 68, 243, 81, 54, 54, 60, 68, 232, 729, 243, 162, 162, 180, 204, 232, 792, 2187, 729, 486, 486, 540, 612, 696, 792, 2704, 6561, 2187, 1458, 1458, 1620, 1836, 2088, 2376, 2704, 9232
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Eigentriangle, row sums = A006012
Row sums = A006012: (1, 2, 6, 20, 68, 232,...).
Sum of n-th row terms = rightmost term of next row.
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EXAMPLE
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First few rows of the triangle =
1;
1, 1;
3, 1, 2;
9, 3, 2, 6;
27, 9, 6, 6, 20;
81, 27, 18, 18, 20, 68;
243, 81, 54, 54, 60, 68, 232;
729, 243, 162, 162, 180, 204, 232, 792;
2187, 729, 846, 486, 540, 612, 696, 792, 2704;
...
Row 3 = (9, 3, 2, 6) = termwise products of (9, 3, 1, 1) and (1, 1, 2, 6).
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CROSSREFS
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A006012
Sequence in context: A060750 A086961 A085194 this_sequence A152229 A074308 A058142
Adjacent sequences: A152249 A152250 A152251 this_sequence A152253 A152254 A152255
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KEYWORD
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eigen,nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 30 2008
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