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Search: id:A107616
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| A107616 |
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Triangle read by rows, generated from arithmetic sequences. |
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+0
1
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| 1, 1, 2, 1, 3, 4, 1, 4, 9, 8, 1, 5, 16, 27, 15, 1, 6, 25, 64, 77, 26, 1, 7, 36, 125, 247, 207, 42, 1, 8, 49, 216, 609, 916, 529, 64
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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First few rows of the triangle are: 1; 1, 2; 1, 3, 4; 1, 4, 9, 8; 1, 5, 16, 27, 15; 1, 6, 25, 64, 77, 26; ...
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FORMULA
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Row terms of A077028 are considered as coefficients to generating functions such that n-th row of A077028 becomes the generator for n-th column of A107616.
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EXAMPLE
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Row 4 of A077028 is [1, 3, 3, 1] which becomes f(x): x^3 + 3x^2 + 3x + 1. Given x = 1,2,3...; f(x) generates 8, 27, 64, 125...(4-th offset column of A107616).
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CROSSREFS
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Cf. A077028.
Sequence in context: A104698 A067066 A125103 this_sequence A055208 A051128 A137614
Adjacent sequences: A107613 A107614 A107615 this_sequence A107617 A107618 A107619
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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), May 17 2005
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