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Search: id:A096038
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| A096038 |
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A triangle generated from a 3n+2 series matrix. |
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+0
3
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| 1, 6, 4, 14, 15, 7, 25, 23, 18, 10, 39, 37, 32, 24, 13, 56, 54, 49, 41, 30, 16
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Leftmost column = A095794, (second pentagonal numbers minus 1): 1, 6, 14, 25, 39, 56... Diagonal = 1, 4, 7, 10...
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FORMULA
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Let M = the infinite lower triangular matrix having n terms in the n-th row of the series 2, 5, 8...(with the rest of the spaces filled in with zeros). Take M^2 - M and divide the leftmost column of that triangle by 2, the next column by 5, the next column by 8...; and so on.
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EXAMPLE
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Given the 3 X 3 matrix P (in the format of M): [2 0 0 / 2 5 0 / 2 5 8], M^2 - M = [2 0 0 / 12 20 0 / 28 60 56]. Delete the zeros, place terms in flush left columns, then divide the leftmost column (2, 12, 28...) by 2 getting (1, 6, 14...) which becomes the leftmost column of A096038. Divide the column (20, 60...) by 5, getting (4, 15...); etc.
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CROSSREFS
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Cf. A095794, A011379, A002411, A096037, A096036, A024212.
Adjacent sequences: A096035 A096036 A096037 this_sequence A096039 A096040 A096041
Sequence in context: A040032 A006582 A131828 this_sequence A083581 A107983 A009278
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KEYWORD
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nonn,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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